Algebraic Numbers API | |
Z3_bool Z3_API | Z3_algebraic_is_value (Z3_context c, Z3_ast a) |
Return Z3_TRUE if can be used as value in the Z3 real algebraic number package. More... | |
Z3_bool Z3_API | Z3_algebraic_is_pos (Z3_context c, Z3_ast a) |
Return the Z3_TRUE if a is positive, and Z3_FALSE otherwise. More... | |
Z3_bool Z3_API | Z3_algebraic_is_neg (Z3_context c, Z3_ast a) |
Return the Z3_TRUE if a is negative, and Z3_FALSE otherwise. More... | |
Z3_bool Z3_API | Z3_algebraic_is_zero (Z3_context c, Z3_ast a) |
Return the Z3_TRUE if a is zero, and Z3_FALSE otherwise. More... | |
int Z3_API | Z3_algebraic_sign (Z3_context c, Z3_ast a) |
Return 1 if a is positive, 0 if a is zero, and -1 if a is negative. More... | |
Z3_ast Z3_API | Z3_algebraic_add (Z3_context c, Z3_ast a, Z3_ast b) |
Return the value a + b. More... | |
Z3_ast Z3_API | Z3_algebraic_sub (Z3_context c, Z3_ast a, Z3_ast b) |
Return the value a - b. More... | |
Z3_ast Z3_API | Z3_algebraic_mul (Z3_context c, Z3_ast a, Z3_ast b) |
Return the value a * b. More... | |
Z3_ast Z3_API | Z3_algebraic_div (Z3_context c, Z3_ast a, Z3_ast b) |
Return the value a / b. More... | |
Z3_ast Z3_API | Z3_algebraic_root (Z3_context c, Z3_ast a, unsigned k) |
Return the a^(1/k) More... | |
Z3_ast Z3_API | Z3_algebraic_power (Z3_context c, Z3_ast a, unsigned k) |
Return the a^k. More... | |
Z3_bool Z3_API | Z3_algebraic_lt (Z3_context c, Z3_ast a, Z3_ast b) |
Return Z3_TRUE if a < b, and Z3_FALSE otherwise. More... | |
Z3_bool Z3_API | Z3_algebraic_gt (Z3_context c, Z3_ast a, Z3_ast b) |
Return Z3_TRUE if a > b, and Z3_FALSE otherwise. More... | |
Z3_bool Z3_API | Z3_algebraic_le (Z3_context c, Z3_ast a, Z3_ast b) |
Return Z3_TRUE if a <= b, and Z3_FALSE otherwise. More... | |
Z3_bool Z3_API | Z3_algebraic_ge (Z3_context c, Z3_ast a, Z3_ast b) |
Return Z3_TRUE if a >= b, and Z3_FALSE otherwise. More... | |
Z3_bool Z3_API | Z3_algebraic_eq (Z3_context c, Z3_ast a, Z3_ast b) |
Return Z3_TRUE if a == b, and Z3_FALSE otherwise. More... | |
Z3_bool Z3_API | Z3_algebraic_neq (Z3_context c, Z3_ast a, Z3_ast b) |
Return Z3_TRUE if a != b, and Z3_FALSE otherwise. More... | |
Z3_ast_vector Z3_API | Z3_algebraic_roots (Z3_context c, Z3_ast p, unsigned n, Z3_ast a[]) |
Given a multivariate polynomial p(x_0, ..., x_{n-1}, x_n), returns the roots of the univariate polynomial p(a[0], ..., a[n-1], x_n). More... | |
int Z3_API | Z3_algebraic_eval (Z3_context c, Z3_ast p, unsigned n, Z3_ast a[]) |
Given a multivariate polynomial p(x_0, ..., x_{n-1}), return the sign of p(a[0], ..., a[n-1]). More... | |
Configuration | |
void Z3_API | Z3_global_param_set (Z3_string param_id, Z3_string param_value) |
Set a global (or module) parameter. This setting is shared by all Z3 contexts. More... | |
void Z3_API | Z3_global_param_reset_all (void) |
Restore the value of all global (and module) parameters. This command will not affect already created objects (such as tactics and solvers). More... | |
Z3_bool Z3_API | Z3_global_param_get (Z3_string param_id, Z3_string_ptr param_value) |
Get a global (or module) parameter. More... | |
Create configuration | |
Z3_config Z3_API | Z3_mk_config (void) |
Create a configuration object for the Z3 context object. More... | |
void Z3_API | Z3_del_config (Z3_config c) |
Delete the given configuration object. More... | |
void Z3_API | Z3_set_param_value (Z3_config c, Z3_string param_id, Z3_string param_value) |
Set a configuration parameter. More... | |
Create context | |
Z3_context Z3_API | Z3_mk_context (Z3_config c) |
Create a context using the given configuration. More... | |
Z3_context Z3_API | Z3_mk_context_rc (Z3_config c) |
Create a context using the given configuration. This function is similar to Z3_mk_context. However, in the context returned by this function, the user is responsible for managing Z3_ast reference counters. Managing reference counters is a burden and error-prone, but allows the user to use the memory more efficiently. The user must invoke Z3_inc_ref for any Z3_ast returned by Z3, and Z3_dec_ref whenever the Z3_ast is not needed anymore. This idiom is similar to the one used in BDD (binary decision diagrams) packages such as CUDD. More... | |
void Z3_API | Z3_del_context (Z3_context c) |
Delete the given logical context. More... | |
void Z3_API | Z3_inc_ref (Z3_context c, Z3_ast a) |
Increment the reference counter of the given AST. The context c should have been created using Z3_mk_context_rc. This function is a NOOP if c was created using Z3_mk_context. More... | |
void Z3_API | Z3_dec_ref (Z3_context c, Z3_ast a) |
Decrement the reference counter of the given AST. The context c should have been created using Z3_mk_context_rc. This function is a NOOP if c was created using Z3_mk_context. More... | |
void Z3_API | Z3_update_param_value (Z3_context c, Z3_string param_id, Z3_string param_value) |
Set a value of a context parameter. More... | |
void Z3_API | Z3_interrupt (Z3_context c) |
Interrupt the execution of a Z3 procedure. This procedure can be used to interrupt: solvers, simplifiers and tactics. More... | |
Parameters | |
Z3_params Z3_API | Z3_mk_params (Z3_context c) |
Create a Z3 (empty) parameter set. Starting at Z3 4.0, parameter sets are used to configure many components such as: simplifiers, tactics, solvers, etc. More... | |
void Z3_API | Z3_params_inc_ref (Z3_context c, Z3_params p) |
Increment the reference counter of the given parameter set. More... | |
void Z3_API | Z3_params_dec_ref (Z3_context c, Z3_params p) |
Decrement the reference counter of the given parameter set. More... | |
void Z3_API | Z3_params_set_bool (Z3_context c, Z3_params p, Z3_symbol k, Z3_bool v) |
Add a Boolean parameter k with value v to the parameter set p . More... | |
void Z3_API | Z3_params_set_uint (Z3_context c, Z3_params p, Z3_symbol k, unsigned v) |
Add a unsigned parameter k with value v to the parameter set p . More... | |
void Z3_API | Z3_params_set_double (Z3_context c, Z3_params p, Z3_symbol k, double v) |
Add a double parameter k with value v to the parameter set p . More... | |
void Z3_API | Z3_params_set_symbol (Z3_context c, Z3_params p, Z3_symbol k, Z3_symbol v) |
Add a symbol parameter k with value v to the parameter set p . More... | |
Z3_string Z3_API | Z3_params_to_string (Z3_context c, Z3_params p) |
Convert a parameter set into a string. This function is mainly used for printing the contents of a parameter set. More... | |
void Z3_API | Z3_params_validate (Z3_context c, Z3_params p, Z3_param_descrs d) |
Validate the parameter set p against the parameter description set d . More... | |
Parameter Descriptions | |
void Z3_API | Z3_param_descrs_inc_ref (Z3_context c, Z3_param_descrs p) |
Increment the reference counter of the given parameter description set. More... | |
void Z3_API | Z3_param_descrs_dec_ref (Z3_context c, Z3_param_descrs p) |
Decrement the reference counter of the given parameter description set. More... | |
Z3_param_kind Z3_API | Z3_param_descrs_get_kind (Z3_context c, Z3_param_descrs p, Z3_symbol n) |
Return the kind associated with the given parameter name n . More... | |
unsigned Z3_API | Z3_param_descrs_size (Z3_context c, Z3_param_descrs p) |
Return the number of parameters in the given parameter description set. More... | |
Z3_symbol Z3_API | Z3_param_descrs_get_name (Z3_context c, Z3_param_descrs p, unsigned i) |
Return the number of parameters in the given parameter description set. More... | |
Z3_string Z3_API | Z3_param_descrs_to_string (Z3_context c, Z3_param_descrs p) |
Convert a parameter description set into a string. This function is mainly used for printing the contents of a parameter description set. More... | |
Symbols | |
Z3_symbol Z3_API | Z3_mk_int_symbol (Z3_context c, int i) |
Create a Z3 symbol using an integer. More... | |
Z3_symbol Z3_API | Z3_mk_string_symbol (Z3_context c, Z3_string s) |
Create a Z3 symbol using a C string. More... | |
Sorts | |
Z3_sort Z3_API | Z3_mk_uninterpreted_sort (Z3_context c, Z3_symbol s) |
Create a free (uninterpreted) type using the given name (symbol). More... | |
Z3_sort Z3_API | Z3_mk_bool_sort (Z3_context c) |
Create the Boolean type. More... | |
Z3_sort Z3_API | Z3_mk_int_sort (Z3_context c) |
Create the integer type. More... | |
Z3_sort Z3_API | Z3_mk_real_sort (Z3_context c) |
Create the real type. More... | |
Z3_sort Z3_API | Z3_mk_bv_sort (Z3_context c, unsigned sz) |
Create a bit-vector type of the given size. More... | |
Z3_sort Z3_API | Z3_mk_finite_domain_sort (Z3_context c, Z3_symbol name, unsigned __int64 size) |
Create a named finite domain sort. More... | |
Z3_sort Z3_API | Z3_mk_array_sort (Z3_context c, Z3_sort domain, Z3_sort range) |
Create an array type. More... | |
Z3_sort Z3_API | Z3_mk_tuple_sort (Z3_context c, Z3_symbol mk_tuple_name, unsigned num_fields, Z3_symbol const field_names[], Z3_sort const field_sorts[], Z3_func_decl *mk_tuple_decl, Z3_func_decl proj_decl[]) |
Create a tuple type. More... | |
Z3_sort Z3_API | Z3_mk_enumeration_sort (Z3_context c, Z3_symbol name, unsigned n, Z3_symbol const enum_names[], Z3_func_decl enum_consts[], Z3_func_decl enum_testers[]) |
Create a enumeration sort. More... | |
Z3_sort Z3_API | Z3_mk_list_sort (Z3_context c, Z3_symbol name, Z3_sort elem_sort, Z3_func_decl *nil_decl, Z3_func_decl *is_nil_decl, Z3_func_decl *cons_decl, Z3_func_decl *is_cons_decl, Z3_func_decl *head_decl, Z3_func_decl *tail_decl) |
Create a list sort. More... | |
BEGIN_MLAPI_EXCLUDE Z3_constructor Z3_API | Z3_mk_constructor (Z3_context c, Z3_symbol name, Z3_symbol recognizer, unsigned num_fields, Z3_symbol const field_names[], Z3_sort_opt const sorts[], unsigned sort_refs[]) |
Create a constructor. More... | |
void Z3_API | Z3_del_constructor (Z3_context c, Z3_constructor constr) |
Reclaim memory allocated to constructor. More... | |
Z3_sort Z3_API | Z3_mk_datatype (Z3_context c, Z3_symbol name, unsigned num_constructors, Z3_constructor constructors[]) |
Create datatype, such as lists, trees, records, enumerations or unions of records. The datatype may be recursive. Return the datatype sort. More... | |
Z3_constructor_list Z3_API | Z3_mk_constructor_list (Z3_context c, unsigned num_constructors, Z3_constructor const constructors[]) |
Create list of constructors. More... | |
void Z3_API | Z3_del_constructor_list (Z3_context c, Z3_constructor_list clist) |
Reclaim memory allocated for constructor list. More... | |
void Z3_API | Z3_mk_datatypes (Z3_context c, unsigned num_sorts, Z3_symbol const sort_names[], Z3_sort sorts[], Z3_constructor_list constructor_lists[]) |
Create mutually recursive datatypes. More... | |
void Z3_API | Z3_query_constructor (Z3_context c, Z3_constructor constr, unsigned num_fields, Z3_func_decl *constructor, Z3_func_decl *tester, Z3_func_decl accessors[]) |
Query constructor for declared functions. More... | |
Constants and Applications | |
Z3_func_decl Z3_API | Z3_mk_func_decl (Z3_context c, Z3_symbol s, unsigned domain_size, Z3_sort const domain[], Z3_sort range) |
Declare a constant or function. More... | |
Z3_ast Z3_API | Z3_mk_app (Z3_context c, Z3_func_decl d, unsigned num_args, Z3_ast const args[]) |
Create a constant or function application. More... | |
Z3_ast Z3_API | Z3_mk_const (Z3_context c, Z3_symbol s, Z3_sort ty) |
Declare and create a constant. More... | |
Z3_func_decl Z3_API | Z3_mk_fresh_func_decl (Z3_context c, Z3_string prefix, unsigned domain_size, Z3_sort const domain[], Z3_sort range) |
Declare a fresh constant or function. More... | |
Z3_ast Z3_API | Z3_mk_fresh_const (Z3_context c, Z3_string prefix, Z3_sort ty) |
Declare and create a fresh constant. More... | |
Propositional Logic and Equality | |
Z3_ast Z3_API | Z3_mk_true (Z3_context c) |
Create an AST node representing true . More... | |
Z3_ast Z3_API | Z3_mk_false (Z3_context c) |
Create an AST node representing false . More... | |
Z3_ast Z3_API | Z3_mk_eq (Z3_context c, Z3_ast l, Z3_ast r) |
Create an AST node representing l = r . More... | |
Z3_ast Z3_API | Z3_mk_distinct (Z3_context c, unsigned num_args, Z3_ast const args[]) |
Create an AST node representing distinct(args[0], ..., args[num_args-1]) .The distinct construct is used for declaring the arguments pairwise distinct. That is, Forall 0 <= i < j < num_args. not args[i] = args[j] . More... | |
Z3_ast Z3_API | Z3_mk_not (Z3_context c, Z3_ast a) |
Create an AST node representing not(a) . More... | |
Z3_ast Z3_API | Z3_mk_ite (Z3_context c, Z3_ast t1, Z3_ast t2, Z3_ast t3) |
Create an AST node representing an if-then-else: ite(t1, t2, t3) . More... | |
Z3_ast Z3_API | Z3_mk_iff (Z3_context c, Z3_ast t1, Z3_ast t2) |
Create an AST node representing t1 iff t2 . More... | |
Z3_ast Z3_API | Z3_mk_implies (Z3_context c, Z3_ast t1, Z3_ast t2) |
Create an AST node representing t1 implies t2 . More... | |
Z3_ast Z3_API | Z3_mk_xor (Z3_context c, Z3_ast t1, Z3_ast t2) |
Create an AST node representing t1 xor t2 . More... | |
Z3_ast Z3_API | Z3_mk_and (Z3_context c, unsigned num_args, Z3_ast const args[]) |
Create an AST node representing args[0] and ... and args[num_args-1] .The array args must have num_args elements. All arguments must have Boolean sort. More... | |
Z3_ast Z3_API | Z3_mk_or (Z3_context c, unsigned num_args, Z3_ast const args[]) |
Create an AST node representing args[0] or ... or args[num_args-1] .The array args must have num_args elements. All arguments must have Boolean sort. More... | |
Arithmetic: Integers and Reals | |
Z3_ast Z3_API | Z3_mk_add (Z3_context c, unsigned num_args, Z3_ast const args[]) |
Create an AST node representing args[0] + ... + args[num_args-1] .The array args must have num_args elements. All arguments must have int or real sort. More... | |
Z3_ast Z3_API | Z3_mk_mul (Z3_context c, unsigned num_args, Z3_ast const args[]) |
Create an AST node representing args[0] * ... * args[num_args-1] .The array args must have num_args elements. All arguments must have int or real sort. More... | |
Z3_ast Z3_API | Z3_mk_sub (Z3_context c, unsigned num_args, Z3_ast const args[]) |
Create an AST node representing args[0] - ... - args[num_args - 1] .The array args must have num_args elements. All arguments must have int or real sort. More... | |
Z3_ast Z3_API | Z3_mk_unary_minus (Z3_context c, Z3_ast arg) |
Create an AST node representing -arg .The arguments must have int or real type. More... | |
Z3_ast Z3_API | Z3_mk_div (Z3_context c, Z3_ast arg1, Z3_ast arg2) |
Create an AST node representing arg1 div arg2 .The arguments must either both have int type or both have real type. If the arguments have int type, then the result type is an int type, otherwise the the result type is real. More... | |
Z3_ast Z3_API | Z3_mk_mod (Z3_context c, Z3_ast arg1, Z3_ast arg2) |
Create an AST node representing arg1 mod arg2 .The arguments must have int type. More... | |
Z3_ast Z3_API | Z3_mk_rem (Z3_context c, Z3_ast arg1, Z3_ast arg2) |
Create an AST node representing arg1 rem arg2 .The arguments must have int type. More... | |
Z3_ast Z3_API | Z3_mk_power (Z3_context c, Z3_ast arg1, Z3_ast arg2) |
Create an AST node representing arg1^arg2 . More... | |
Z3_ast Z3_API | Z3_mk_lt (Z3_context c, Z3_ast t1, Z3_ast t2) |
Create less than. More... | |
Z3_ast Z3_API | Z3_mk_le (Z3_context c, Z3_ast t1, Z3_ast t2) |
Create less than or equal to. More... | |
Z3_ast Z3_API | Z3_mk_gt (Z3_context c, Z3_ast t1, Z3_ast t2) |
Create greater than. More... | |
Z3_ast Z3_API | Z3_mk_ge (Z3_context c, Z3_ast t1, Z3_ast t2) |
Create greater than or equal to. More... | |
Z3_ast Z3_API | Z3_mk_int2real (Z3_context c, Z3_ast t1) |
Coerce an integer to a real. More... | |
Z3_ast Z3_API | Z3_mk_real2int (Z3_context c, Z3_ast t1) |
Coerce a real to an integer. More... | |
Z3_ast Z3_API | Z3_mk_is_int (Z3_context c, Z3_ast t1) |
Check if a real number is an integer. More... | |
Bit-vectors | |
Z3_ast Z3_API | Z3_mk_bvnot (Z3_context c, Z3_ast t1) |
Bitwise negation. More... | |
Z3_ast Z3_API | Z3_mk_bvredand (Z3_context c, Z3_ast t1) |
Take conjunction of bits in vector, return vector of length 1. More... | |
Z3_ast Z3_API | Z3_mk_bvredor (Z3_context c, Z3_ast t1) |
Take disjunction of bits in vector, return vector of length 1. More... | |
Z3_ast Z3_API | Z3_mk_bvand (Z3_context c, Z3_ast t1, Z3_ast t2) |
Bitwise and. More... | |
Z3_ast Z3_API | Z3_mk_bvor (Z3_context c, Z3_ast t1, Z3_ast t2) |
Bitwise or. More... | |
Z3_ast Z3_API | Z3_mk_bvxor (Z3_context c, Z3_ast t1, Z3_ast t2) |
Bitwise exclusive-or. More... | |
Z3_ast Z3_API | Z3_mk_bvnand (Z3_context c, Z3_ast t1, Z3_ast t2) |
Bitwise nand. More... | |
Z3_ast Z3_API | Z3_mk_bvnor (Z3_context c, Z3_ast t1, Z3_ast t2) |
Bitwise nor. More... | |
Z3_ast Z3_API | Z3_mk_bvxnor (Z3_context c, Z3_ast t1, Z3_ast t2) |
Bitwise xnor. More... | |
Z3_ast Z3_API | Z3_mk_bvneg (Z3_context c, Z3_ast t1) |
Standard two's complement unary minus. More... | |
Z3_ast Z3_API | Z3_mk_bvadd (Z3_context c, Z3_ast t1, Z3_ast t2) |
Standard two's complement addition. More... | |
Z3_ast Z3_API | Z3_mk_bvsub (Z3_context c, Z3_ast t1, Z3_ast t2) |
Standard two's complement subtraction. More... | |
Z3_ast Z3_API | Z3_mk_bvmul (Z3_context c, Z3_ast t1, Z3_ast t2) |
Standard two's complement multiplication. More... | |
Z3_ast Z3_API | Z3_mk_bvudiv (Z3_context c, Z3_ast t1, Z3_ast t2) |
Unsigned division. More... | |
Z3_ast Z3_API | Z3_mk_bvsdiv (Z3_context c, Z3_ast t1, Z3_ast t2) |
Two's complement signed division. More... | |
Z3_ast Z3_API | Z3_mk_bvurem (Z3_context c, Z3_ast t1, Z3_ast t2) |
Unsigned remainder. More... | |
Z3_ast Z3_API | Z3_mk_bvsrem (Z3_context c, Z3_ast t1, Z3_ast t2) |
Two's complement signed remainder (sign follows dividend). More... | |
Z3_ast Z3_API | Z3_mk_bvsmod (Z3_context c, Z3_ast t1, Z3_ast t2) |
Two's complement signed remainder (sign follows divisor). More... | |
Z3_ast Z3_API | Z3_mk_bvult (Z3_context c, Z3_ast t1, Z3_ast t2) |
Unsigned less than. More... | |
Z3_ast Z3_API | Z3_mk_bvslt (Z3_context c, Z3_ast t1, Z3_ast t2) |
Two's complement signed less than. More... | |
Z3_ast Z3_API | Z3_mk_bvule (Z3_context c, Z3_ast t1, Z3_ast t2) |
Unsigned less than or equal to. More... | |
Z3_ast Z3_API | Z3_mk_bvsle (Z3_context c, Z3_ast t1, Z3_ast t2) |
Two's complement signed less than or equal to. More... | |
Z3_ast Z3_API | Z3_mk_bvuge (Z3_context c, Z3_ast t1, Z3_ast t2) |
Unsigned greater than or equal to. More... | |
Z3_ast Z3_API | Z3_mk_bvsge (Z3_context c, Z3_ast t1, Z3_ast t2) |
Two's complement signed greater than or equal to. More... | |
Z3_ast Z3_API | Z3_mk_bvugt (Z3_context c, Z3_ast t1, Z3_ast t2) |
Unsigned greater than. More... | |
Z3_ast Z3_API | Z3_mk_bvsgt (Z3_context c, Z3_ast t1, Z3_ast t2) |
Two's complement signed greater than. More... | |
Z3_ast Z3_API | Z3_mk_concat (Z3_context c, Z3_ast t1, Z3_ast t2) |
Concatenate the given bit-vectors. More... | |
Z3_ast Z3_API | Z3_mk_extract (Z3_context c, unsigned high, unsigned low, Z3_ast t1) |
Extract the bits high down to low from a bitvector of size m to yield a new bitvector of size n , where n = high - low + 1 . More... | |
Z3_ast Z3_API | Z3_mk_sign_ext (Z3_context c, unsigned i, Z3_ast t1) |
Sign-extend of the given bit-vector to the (signed) equivalent bitvector of size m+i , where m is the size of the given bit-vector. More... | |
Z3_ast Z3_API | Z3_mk_zero_ext (Z3_context c, unsigned i, Z3_ast t1) |
Extend the given bit-vector with zeros to the (unsigned) equivalent bitvector of size m+i , where m is the size of the given bit-vector. More... | |
Z3_ast Z3_API | Z3_mk_repeat (Z3_context c, unsigned i, Z3_ast t1) |
Repeat the given bit-vector up length i . More... | |
Z3_ast Z3_API | Z3_mk_bvshl (Z3_context c, Z3_ast t1, Z3_ast t2) |
Shift left. More... | |
Z3_ast Z3_API | Z3_mk_bvlshr (Z3_context c, Z3_ast t1, Z3_ast t2) |
Logical shift right. More... | |
Z3_ast Z3_API | Z3_mk_bvashr (Z3_context c, Z3_ast t1, Z3_ast t2) |
Arithmetic shift right. More... | |
Z3_ast Z3_API | Z3_mk_rotate_left (Z3_context c, unsigned i, Z3_ast t1) |
Rotate bits of t1 to the left i times. More... | |
Z3_ast Z3_API | Z3_mk_rotate_right (Z3_context c, unsigned i, Z3_ast t1) |
Rotate bits of t1 to the right i times. More... | |
Z3_ast Z3_API | Z3_mk_ext_rotate_left (Z3_context c, Z3_ast t1, Z3_ast t2) |
Rotate bits of t1 to the left t2 times. More... | |
Z3_ast Z3_API | Z3_mk_ext_rotate_right (Z3_context c, Z3_ast t1, Z3_ast t2) |
Rotate bits of t1 to the right t2 times. More... | |
Z3_ast Z3_API | Z3_mk_int2bv (Z3_context c, unsigned n, Z3_ast t1) |
Create an n bit bit-vector from the integer argument t1 . More... | |
Z3_ast Z3_API | Z3_mk_bv2int (Z3_context c, Z3_ast t1, Z3_bool is_signed) |
Create an integer from the bit-vector argument t1 . If is_signed is false, then the bit-vector t1 is treated as unsigned. So the result is non-negative and in the range [0..2^N-1] , where N are the number of bits in t1 . If is_signed is true, t1 is treated as a signed bit-vector. More... | |
Z3_ast Z3_API | Z3_mk_bvadd_no_overflow (Z3_context c, Z3_ast t1, Z3_ast t2, Z3_bool is_signed) |
Create a predicate that checks that the bit-wise addition of t1 and t2 does not overflow. More... | |
Z3_ast Z3_API | Z3_mk_bvadd_no_underflow (Z3_context c, Z3_ast t1, Z3_ast t2) |
Create a predicate that checks that the bit-wise signed addition of t1 and t2 does not underflow. More... | |
Z3_ast Z3_API | Z3_mk_bvsub_no_overflow (Z3_context c, Z3_ast t1, Z3_ast t2) |
Create a predicate that checks that the bit-wise signed subtraction of t1 and t2 does not overflow. More... | |
Z3_ast Z3_API | Z3_mk_bvsub_no_underflow (Z3_context c, Z3_ast t1, Z3_ast t2, Z3_bool is_signed) |
Create a predicate that checks that the bit-wise subtraction of t1 and t2 does not underflow. More... | |
Z3_ast Z3_API | Z3_mk_bvsdiv_no_overflow (Z3_context c, Z3_ast t1, Z3_ast t2) |
Create a predicate that checks that the bit-wise signed division of t1 and t2 does not overflow. More... | |
Z3_ast Z3_API | Z3_mk_bvneg_no_overflow (Z3_context c, Z3_ast t1) |
Check that bit-wise negation does not overflow when t1 is interpreted as a signed bit-vector. More... | |
Z3_ast Z3_API | Z3_mk_bvmul_no_overflow (Z3_context c, Z3_ast t1, Z3_ast t2, Z3_bool is_signed) |
Create a predicate that checks that the bit-wise multiplication of t1 and t2 does not overflow. More... | |
Z3_ast Z3_API | Z3_mk_bvmul_no_underflow (Z3_context c, Z3_ast t1, Z3_ast t2) |
Create a predicate that checks that the bit-wise signed multiplication of t1 and t2 does not underflow. More... | |
Arrays | |
Z3_ast Z3_API | Z3_mk_select (Z3_context c, Z3_ast a, Z3_ast i) |
Array read. The argument a is the array and i is the index of the array that gets read. More... | |
Z3_ast Z3_API | Z3_mk_store (Z3_context c, Z3_ast a, Z3_ast i, Z3_ast v) |
Array update. More... | |
Z3_ast Z3_API | Z3_mk_const_array (Z3_context c, Z3_sort domain, Z3_ast v) |
Create the constant array. More... | |
Z3_ast Z3_API | Z3_mk_map (Z3_context c, Z3_func_decl f, unsigned n, Z3_ast const *args) |
map f on the the argument arrays. More... | |
Z3_ast Z3_API | Z3_mk_array_default (Z3_context c, Z3_ast array) |
Access the array default value. Produces the default range value, for arrays that can be represented as finite maps with a default range value. More... | |
Sets | |
Z3_sort Z3_API | Z3_mk_set_sort (Z3_context c, Z3_sort ty) |
Create Set type. More... | |
Z3_ast Z3_API | Z3_mk_empty_set (Z3_context c, Z3_sort domain) |
Create the empty set. More... | |
Z3_ast Z3_API | Z3_mk_full_set (Z3_context c, Z3_sort domain) |
Create the full set. More... | |
Z3_ast Z3_API | Z3_mk_set_add (Z3_context c, Z3_ast set, Z3_ast elem) |
Add an element to a set. More... | |
Z3_ast Z3_API | Z3_mk_set_del (Z3_context c, Z3_ast set, Z3_ast elem) |
Remove an element to a set. More... | |
Z3_ast Z3_API | Z3_mk_set_union (Z3_context c, unsigned num_args, Z3_ast const args[]) |
Take the union of a list of sets. More... | |
Z3_ast Z3_API | Z3_mk_set_intersect (Z3_context c, unsigned num_args, Z3_ast const args[]) |
Take the intersection of a list of sets. More... | |
Z3_ast Z3_API | Z3_mk_set_difference (Z3_context c, Z3_ast arg1, Z3_ast arg2) |
Take the set difference between two sets. More... | |
Z3_ast Z3_API | Z3_mk_set_complement (Z3_context c, Z3_ast arg) |
Take the complement of a set. More... | |
Z3_ast Z3_API | Z3_mk_set_member (Z3_context c, Z3_ast elem, Z3_ast set) |
Check for set membership. More... | |
Z3_ast Z3_API | Z3_mk_set_subset (Z3_context c, Z3_ast arg1, Z3_ast arg2) |
Check for subsetness of sets. More... | |
Numerals | |
Z3_ast Z3_API | Z3_mk_numeral (Z3_context c, Z3_string numeral, Z3_sort ty) |
Create a numeral of a given sort. More... | |
Z3_ast Z3_API | Z3_mk_real (Z3_context c, int num, int den) |
Create a real from a fraction. More... | |
Z3_ast Z3_API | Z3_mk_int (Z3_context c, int v, Z3_sort ty) |
Create a numeral of an int, bit-vector, or finite-domain sort. More... | |
Z3_ast Z3_API | Z3_mk_unsigned_int (Z3_context c, unsigned v, Z3_sort ty) |
Create a numeral of a int, bit-vector, or finite-domain sort. More... | |
Z3_ast Z3_API | Z3_mk_int64 (Z3_context c, __int64 v, Z3_sort ty) |
Create a numeral of a int, bit-vector, or finite-domain sort. More... | |
Z3_ast Z3_API | Z3_mk_unsigned_int64 (Z3_context c, unsigned __int64 v, Z3_sort ty) |
Create a numeral of a int, bit-vector, or finite-domain sort. More... | |
Quantifiers | |
Z3_pattern Z3_API | Z3_mk_pattern (Z3_context c, unsigned num_patterns, Z3_ast const terms[]) |
Create a pattern for quantifier instantiation. More... | |
Z3_ast Z3_API | Z3_mk_bound (Z3_context c, unsigned index, Z3_sort ty) |
Create a bound variable. More... | |
Z3_ast Z3_API | Z3_mk_forall (Z3_context c, unsigned weight, unsigned num_patterns, Z3_pattern const patterns[], unsigned num_decls, Z3_sort const sorts[], Z3_symbol const decl_names[], Z3_ast body) |
Create a forall formula. It takes an expression body that contains bound variables of the same sorts as the sorts listed in the array sorts . The bound variables are de-Bruijn indices created using Z3_mk_bound. The array decl_names contains the names that the quantified formula uses for the bound variables. Z3 applies the convention that the last element in the decl_names and sorts array refers to the variable with index 0, the second to last element of decl_names and sorts refers to the variable with index 1, etc. More... | |
Z3_ast Z3_API | Z3_mk_exists (Z3_context c, unsigned weight, unsigned num_patterns, Z3_pattern const patterns[], unsigned num_decls, Z3_sort const sorts[], Z3_symbol const decl_names[], Z3_ast body) |
Create an exists formula. Similar to Z3_mk_forall. More... | |
Z3_ast Z3_API | Z3_mk_quantifier (Z3_context c, Z3_bool is_forall, unsigned weight, unsigned num_patterns, Z3_pattern const patterns[], unsigned num_decls, Z3_sort const sorts[], Z3_symbol const decl_names[], Z3_ast body) |
Create a quantifier - universal or existential, with pattern hints. See the documentation for Z3_mk_forall for an explanation of the parameters. More... | |
Z3_ast Z3_API | Z3_mk_quantifier_ex (Z3_context c, Z3_bool is_forall, unsigned weight, Z3_symbol quantifier_id, Z3_symbol skolem_id, unsigned num_patterns, Z3_pattern const patterns[], unsigned num_no_patterns, Z3_ast const no_patterns[], unsigned num_decls, Z3_sort const sorts[], Z3_symbol const decl_names[], Z3_ast body) |
Create a quantifier - universal or existential, with pattern hints, no patterns, and attributes. More... | |
Z3_ast Z3_API | Z3_mk_forall_const (Z3_context c, unsigned weight, unsigned num_bound, Z3_app const bound[], unsigned num_patterns, Z3_pattern const patterns[], Z3_ast body) |
Create a universal quantifier using a list of constants that will form the set of bound variables. More... | |
Z3_ast Z3_API | Z3_mk_exists_const (Z3_context c, unsigned weight, unsigned num_bound, Z3_app const bound[], unsigned num_patterns, Z3_pattern const patterns[], Z3_ast body) |
Similar to Z3_mk_forall_const. More... | |
Z3_ast Z3_API | Z3_mk_quantifier_const (Z3_context c, Z3_bool is_forall, unsigned weight, unsigned num_bound, Z3_app const bound[], unsigned num_patterns, Z3_pattern const patterns[], Z3_ast body) |
Create a universal or existential quantifier using a list of constants that will form the set of bound variables. More... | |
Z3_ast Z3_API | Z3_mk_quantifier_const_ex (Z3_context c, Z3_bool is_forall, unsigned weight, Z3_symbol quantifier_id, Z3_symbol skolem_id, unsigned num_bound, Z3_app const bound[], unsigned num_patterns, Z3_pattern const patterns[], unsigned num_no_patterns, Z3_ast const no_patterns[], Z3_ast body) |
Create a universal or existential quantifier using a list of constants that will form the set of bound variables. More... | |
Accessors | |
Z3_symbol_kind Z3_API | Z3_get_symbol_kind (Z3_context c, Z3_symbol s) |
Return Z3_INT_SYMBOL if the symbol was constructed using Z3_mk_int_symbol, and Z3_STRING_SYMBOL if the symbol was constructed using Z3_mk_string_symbol. More... | |
int Z3_API | Z3_get_symbol_int (Z3_context c, Z3_symbol s) |
Return the symbol int value. More... | |
Z3_string Z3_API | Z3_get_symbol_string (Z3_context c, Z3_symbol s) |
Return the symbol name. More... | |
Z3_symbol Z3_API | Z3_get_sort_name (Z3_context c, Z3_sort d) |
Return the sort name as a symbol. More... | |
unsigned Z3_API | Z3_get_sort_id (Z3_context c, Z3_sort s) |
Return a unique identifier for s . More... | |
Z3_ast Z3_API | Z3_sort_to_ast (Z3_context c, Z3_sort s) |
Convert a Z3_sort into Z3_ast . This is just type casting. More... | |
Z3_bool Z3_API | Z3_is_eq_sort (Z3_context c, Z3_sort s1, Z3_sort s2) |
compare sorts. More... | |
Z3_sort_kind Z3_API | Z3_get_sort_kind (Z3_context c, Z3_sort t) |
Return the sort kind (e.g., array, tuple, int, bool, etc). More... | |
unsigned Z3_API | Z3_get_bv_sort_size (Z3_context c, Z3_sort t) |
Return the size of the given bit-vector sort. More... | |
Z3_bool Z3_API | Z3_get_finite_domain_sort_size (Z3_context c, Z3_sort s, unsigned __int64 *r) |
Store the size of the sort in r . Return Z3_FALSE if the call failed. That is, Z3_get_sort_kind(s) == Z3_FINITE_DOMAIN_SORT. More... | |
Z3_sort Z3_API | Z3_get_array_sort_domain (Z3_context c, Z3_sort t) |
Return the domain of the given array sort. More... | |
Z3_sort Z3_API | Z3_get_array_sort_range (Z3_context c, Z3_sort t) |
Return the range of the given array sort. More... | |
Z3_func_decl Z3_API | Z3_get_tuple_sort_mk_decl (Z3_context c, Z3_sort t) |
Return the constructor declaration of the given tuple sort. More... | |
unsigned Z3_API | Z3_get_tuple_sort_num_fields (Z3_context c, Z3_sort t) |
Return the number of fields of the given tuple sort. More... | |
Z3_func_decl Z3_API | Z3_get_tuple_sort_field_decl (Z3_context c, Z3_sort t, unsigned i) |
Return the i-th field declaration (i.e., projection function declaration) of the given tuple sort. More... | |
unsigned Z3_API | Z3_get_datatype_sort_num_constructors (Z3_context c, Z3_sort t) |
Return number of constructors for datatype. More... | |
Z3_func_decl Z3_API | Z3_get_datatype_sort_constructor (Z3_context c, Z3_sort t, unsigned idx) |
Return idx'th constructor. More... | |
Z3_func_decl Z3_API | Z3_get_datatype_sort_recognizer (Z3_context c, Z3_sort t, unsigned idx) |
Return idx'th recognizer. More... | |
Z3_func_decl Z3_API | Z3_get_datatype_sort_constructor_accessor (Z3_context c, Z3_sort t, unsigned idx_c, unsigned idx_a) |
Return idx_a'th accessor for the idx_c'th constructor. More... | |
Z3_ast Z3_API | Z3_datatype_update_field (Z3_context c, Z3_func_decl field_access, Z3_ast t, Z3_ast value) |
Update record field with a value. More... | |
unsigned Z3_API | Z3_get_relation_arity (Z3_context c, Z3_sort s) |
Return arity of relation. More... | |
Z3_sort Z3_API | Z3_get_relation_column (Z3_context c, Z3_sort s, unsigned col) |
Return sort at i'th column of relation sort. More... | |
Z3_ast Z3_API | Z3_mk_atmost (Z3_context c, unsigned num_args, Z3_ast const args[], unsigned k) |
Pseudo-Boolean relations. More... | |
Z3_ast Z3_API | Z3_mk_pble (Z3_context c, unsigned num_args, Z3_ast const args[], int coeffs[], int k) |
Pseudo-Boolean relations. More... | |
Z3_ast Z3_API | Z3_func_decl_to_ast (Z3_context c, Z3_func_decl f) |
Convert a Z3_func_decl into Z3_ast . This is just type casting. More... | |
Z3_bool Z3_API | Z3_is_eq_func_decl (Z3_context c, Z3_func_decl f1, Z3_func_decl f2) |
compare terms. More... | |
unsigned Z3_API | Z3_get_func_decl_id (Z3_context c, Z3_func_decl f) |
Return a unique identifier for f . More... | |
Z3_symbol Z3_API | Z3_get_decl_name (Z3_context c, Z3_func_decl d) |
Return the constant declaration name as a symbol. More... | |
Z3_decl_kind Z3_API | Z3_get_decl_kind (Z3_context c, Z3_func_decl d) |
Return declaration kind corresponding to declaration. More... | |
unsigned Z3_API | Z3_get_domain_size (Z3_context c, Z3_func_decl d) |
Return the number of parameters of the given declaration. More... | |
unsigned Z3_API | Z3_get_arity (Z3_context c, Z3_func_decl d) |
Alias for Z3_get_domain_size . More... | |
Z3_sort Z3_API | Z3_get_domain (Z3_context c, Z3_func_decl d, unsigned i) |
Return the sort of the i-th parameter of the given function declaration. More... | |
Z3_sort Z3_API | Z3_get_range (Z3_context c, Z3_func_decl d) |
Return the range of the given declaration. More... | |
unsigned Z3_API | Z3_get_decl_num_parameters (Z3_context c, Z3_func_decl d) |
Return the number of parameters associated with a declaration. More... | |
Z3_parameter_kind Z3_API | Z3_get_decl_parameter_kind (Z3_context c, Z3_func_decl d, unsigned idx) |
Return the parameter type associated with a declaration. More... | |
int Z3_API | Z3_get_decl_int_parameter (Z3_context c, Z3_func_decl d, unsigned idx) |
Return the integer value associated with an integer parameter. More... | |
double Z3_API | Z3_get_decl_double_parameter (Z3_context c, Z3_func_decl d, unsigned idx) |
Return the double value associated with an double parameter. More... | |
Z3_symbol Z3_API | Z3_get_decl_symbol_parameter (Z3_context c, Z3_func_decl d, unsigned idx) |
Return the double value associated with an double parameter. More... | |
Z3_sort Z3_API | Z3_get_decl_sort_parameter (Z3_context c, Z3_func_decl d, unsigned idx) |
Return the sort value associated with a sort parameter. More... | |
Z3_ast Z3_API | Z3_get_decl_ast_parameter (Z3_context c, Z3_func_decl d, unsigned idx) |
Return the expresson value associated with an expression parameter. More... | |
Z3_func_decl Z3_API | Z3_get_decl_func_decl_parameter (Z3_context c, Z3_func_decl d, unsigned idx) |
Return the expresson value associated with an expression parameter. More... | |
Z3_string Z3_API | Z3_get_decl_rational_parameter (Z3_context c, Z3_func_decl d, unsigned idx) |
Return the rational value, as a string, associated with a rational parameter. More... | |
Z3_ast Z3_API | Z3_app_to_ast (Z3_context c, Z3_app a) |
Convert a Z3_app into Z3_ast . This is just type casting. More... | |
Z3_func_decl Z3_API | Z3_get_app_decl (Z3_context c, Z3_app a) |
Return the declaration of a constant or function application. More... | |
unsigned Z3_API | Z3_get_app_num_args (Z3_context c, Z3_app a) |
Return the number of argument of an application. If t is an constant, then the number of arguments is 0. More... | |
Z3_ast Z3_API | Z3_get_app_arg (Z3_context c, Z3_app a, unsigned i) |
Return the i-th argument of the given application. More... | |
Z3_bool Z3_API | Z3_is_eq_ast (Z3_context c, Z3_ast t1, Z3_ast t2) |
compare terms. More... | |
unsigned Z3_API | Z3_get_ast_id (Z3_context c, Z3_ast t) |
Return a unique identifier for t . The identifier is unique up to structural equality. Thus, two ast nodes created by the same context and having the same children and same function symbols have the same identifiers. Ast nodes created in the same context, but having different children or different functions have different identifiers. Variables and quantifiers are also assigned different identifiers according to their structure. More... | |
unsigned Z3_API | Z3_get_ast_hash (Z3_context c, Z3_ast a) |
Return a hash code for the given AST. The hash code is structural. You can use Z3_get_ast_id interchangably with this function. More... | |
Z3_sort Z3_API | Z3_get_sort (Z3_context c, Z3_ast a) |
Return the sort of an AST node. More... | |
Z3_bool Z3_API | Z3_is_well_sorted (Z3_context c, Z3_ast t) |
Return true if the given expression t is well sorted. More... | |
Z3_lbool Z3_API | Z3_get_bool_value (Z3_context c, Z3_ast a) |
Return Z3_L_TRUE if a is true, Z3_L_FALSE if it is false, and Z3_L_UNDEF otherwise. More... | |
Z3_ast_kind Z3_API | Z3_get_ast_kind (Z3_context c, Z3_ast a) |
Return the kind of the given AST. More... | |
Z3_bool Z3_API | Z3_is_app (Z3_context c, Z3_ast a) |
Z3_bool Z3_API | Z3_is_numeral_ast (Z3_context c, Z3_ast a) |
Z3_bool Z3_API | Z3_is_algebraic_number (Z3_context c, Z3_ast a) |
Return true if the give AST is a real algebraic number. More... | |
Z3_app Z3_API | Z3_to_app (Z3_context c, Z3_ast a) |
Convert an ast into an APP_AST . This is just type casting. More... | |
Z3_func_decl Z3_API | Z3_to_func_decl (Z3_context c, Z3_ast a) |
Convert an AST into a FUNC_DECL_AST. This is just type casting. More... | |
Z3_string Z3_API | Z3_get_numeral_string (Z3_context c, Z3_ast a) |
Return numeral value, as a string of a numeric constant term. More... | |
Z3_string Z3_API | Z3_get_numeral_decimal_string (Z3_context c, Z3_ast a, unsigned precision) |
Return numeral as a string in decimal notation. The result has at most precision decimal places. More... | |
Z3_ast Z3_API | Z3_get_numerator (Z3_context c, Z3_ast a) |
Return the numerator (as a numeral AST) of a numeral AST of sort Real. More... | |
Z3_ast Z3_API | Z3_get_denominator (Z3_context c, Z3_ast a) |
Return the denominator (as a numeral AST) of a numeral AST of sort Real. More... | |
Z3_bool Z3_API | Z3_get_numeral_small (Z3_context c, Z3_ast a, __int64 *num, __int64 *den) |
Return numeral value, as a pair of 64 bit numbers if the representation fits. More... | |
Z3_bool Z3_API | Z3_get_numeral_int (Z3_context c, Z3_ast v, int *i) |
Similar to Z3_get_numeral_string, but only succeeds if the value can fit in a machine int. Return Z3_TRUE if the call succeeded. More... | |
Z3_bool Z3_API | Z3_get_numeral_uint (Z3_context c, Z3_ast v, unsigned *u) |
Similar to Z3_get_numeral_string, but only succeeds if the value can fit in a machine unsigned int. Return Z3_TRUE if the call succeeded. More... | |
Z3_bool Z3_API | Z3_get_numeral_uint64 (Z3_context c, Z3_ast v, unsigned __int64 *u) |
Similar to Z3_get_numeral_string, but only succeeds if the value can fit in a machine unsigned __int64 int. Return Z3_TRUE if the call succeeded. More... | |
Z3_bool Z3_API | Z3_get_numeral_int64 (Z3_context c, Z3_ast v, __int64 *i) |
Similar to Z3_get_numeral_string, but only succeeds if the value can fit in a machine __int64 int. Return Z3_TRUE if the call succeeded. More... | |
Z3_bool Z3_API | Z3_get_numeral_rational_int64 (Z3_context c, Z3_ast v, __int64 *num, __int64 *den) |
Similar to Z3_get_numeral_string, but only succeeds if the value can fit as a rational number as machine __int64 int. Return Z3_TRUE if the call succeeded. More... | |
Z3_ast Z3_API | Z3_get_algebraic_number_lower (Z3_context c, Z3_ast a, unsigned precision) |
Return a lower bound for the given real algebraic number. The interval isolating the number is smaller than 1/10^precision. The result is a numeral AST of sort Real. More... | |
Z3_ast Z3_API | Z3_get_algebraic_number_upper (Z3_context c, Z3_ast a, unsigned precision) |
Return a upper bound for the given real algebraic number. The interval isolating the number is smaller than 1/10^precision. The result is a numeral AST of sort Real. More... | |
Z3_ast Z3_API | Z3_pattern_to_ast (Z3_context c, Z3_pattern p) |
Convert a Z3_pattern into Z3_ast. This is just type casting. More... | |
unsigned Z3_API | Z3_get_pattern_num_terms (Z3_context c, Z3_pattern p) |
Return number of terms in pattern. More... | |
Z3_ast Z3_API | Z3_get_pattern (Z3_context c, Z3_pattern p, unsigned idx) |
Return i'th ast in pattern. More... | |
unsigned Z3_API | Z3_get_index_value (Z3_context c, Z3_ast a) |
Return index of de-Brujin bound variable. More... | |
Z3_bool Z3_API | Z3_is_quantifier_forall (Z3_context c, Z3_ast a) |
Determine if quantifier is universal. More... | |
unsigned Z3_API | Z3_get_quantifier_weight (Z3_context c, Z3_ast a) |
Obtain weight of quantifier. More... | |
unsigned Z3_API | Z3_get_quantifier_num_patterns (Z3_context c, Z3_ast a) |
Return number of patterns used in quantifier. More... | |
Z3_pattern Z3_API | Z3_get_quantifier_pattern_ast (Z3_context c, Z3_ast a, unsigned i) |
Return i'th pattern. More... | |
unsigned Z3_API | Z3_get_quantifier_num_no_patterns (Z3_context c, Z3_ast a) |
Return number of no_patterns used in quantifier. More... | |
Z3_ast Z3_API | Z3_get_quantifier_no_pattern_ast (Z3_context c, Z3_ast a, unsigned i) |
Return i'th no_pattern. More... | |
unsigned Z3_API | Z3_get_quantifier_num_bound (Z3_context c, Z3_ast a) |
Return number of bound variables of quantifier. More... | |
Z3_symbol Z3_API | Z3_get_quantifier_bound_name (Z3_context c, Z3_ast a, unsigned i) |
Return symbol of the i'th bound variable. More... | |
Z3_sort Z3_API | Z3_get_quantifier_bound_sort (Z3_context c, Z3_ast a, unsigned i) |
Return sort of the i'th bound variable. More... | |
Z3_ast Z3_API | Z3_get_quantifier_body (Z3_context c, Z3_ast a) |
Return body of quantifier. More... | |
Z3_ast Z3_API | Z3_simplify (Z3_context c, Z3_ast a) |
Interface to simplifier. More... | |
Z3_ast Z3_API | Z3_simplify_ex (Z3_context c, Z3_ast a, Z3_params p) |
Interface to simplifier. More... | |
Z3_string Z3_API | Z3_simplify_get_help (Z3_context c) |
Return a string describing all available parameters. More... | |
Z3_param_descrs Z3_API | Z3_simplify_get_param_descrs (Z3_context c) |
Return the parameter description set for the simplify procedure. More... | |
Modifiers | |
Z3_ast Z3_API | Z3_update_term (Z3_context c, Z3_ast a, unsigned num_args, Z3_ast const args[]) |
Update the arguments of term a using the arguments args . The number of arguments num_args should coincide with the number of arguments to a . If a is a quantifier, then num_args has to be 1. More... | |
Z3_ast Z3_API | Z3_substitute (Z3_context c, Z3_ast a, unsigned num_exprs, Z3_ast const from[], Z3_ast const to[]) |
Substitute every occurrence of from[i] in a with to[i] , for i smaller than num_exprs . The result is the new AST. The arrays from and to must have size num_exprs . For every i smaller than num_exprs , we must have that sort of from[i] must be equal to sort of to[i] . More... | |
Z3_ast Z3_API | Z3_substitute_vars (Z3_context c, Z3_ast a, unsigned num_exprs, Z3_ast const to[]) |
Substitute the free variables in a with the expressions in to . For every i smaller than num_exprs , the variable with de-Bruijn index i is replaced with term to[i] . More... | |
Z3_ast Z3_API | Z3_translate (Z3_context source, Z3_ast a, Z3_context target) |
Translate/Copy the AST a from context source to context target . AST a must have been created using context source . More... | |
Models | |
void Z3_API | Z3_model_inc_ref (Z3_context c, Z3_model m) |
Increment the reference counter of the given model. More... | |
void Z3_API | Z3_model_dec_ref (Z3_context c, Z3_model m) |
Decrement the reference counter of the given model. More... | |
Z3_bool Z3_API | Z3_model_eval (Z3_context c, Z3_model m, Z3_ast t, Z3_bool model_completion, Z3_ast *v) |
Evaluate the AST node t in the given model. Return Z3_TRUE if succeeded, and store the result in v .If model_completion is Z3_TRUE, then Z3 will assign an interpretation for any constant or function that does not have an interpretation in m . These constants and functions were essentially don't cares. More... | |
Z3_ast Z3_API | Z3_model_get_const_interp (Z3_context c, Z3_model m, Z3_func_decl a) |
Return the interpretation (i.e., assignment) of constant a in the model m . Return NULL , if the model does not assign an interpretation for a . That should be interpreted as: the value of a does not matter. More... | |
Z3_bool Z3_API | Z3_model_has_interp (Z3_context c, Z3_model m, Z3_func_decl a) |
Test if there exists an interpretation (i.e., assignment) for a in the model m . More... | |
Z3_func_interp Z3_API | Z3_model_get_func_interp (Z3_context c, Z3_model m, Z3_func_decl f) |
Return the interpretation of the function f in the model m . Return NULL , if the model does not assign an interpretation for f . That should be interpreted as: the f does not matter. More... | |
unsigned Z3_API | Z3_model_get_num_consts (Z3_context c, Z3_model m) |
Return the number of constants assigned by the given model. More... | |
Z3_func_decl Z3_API | Z3_model_get_const_decl (Z3_context c, Z3_model m, unsigned i) |
Return the i-th constant in the given model. More... | |
unsigned Z3_API | Z3_model_get_num_funcs (Z3_context c, Z3_model m) |
Return the number of function interpretations in the given model. More... | |
Z3_func_decl Z3_API | Z3_model_get_func_decl (Z3_context c, Z3_model m, unsigned i) |
Return the declaration of the i-th function in the given model. More... | |
unsigned Z3_API | Z3_model_get_num_sorts (Z3_context c, Z3_model m) |
Return the number of uninterpreted sorts that m assigs an interpretation to. More... | |
Z3_sort Z3_API | Z3_model_get_sort (Z3_context c, Z3_model m, unsigned i) |
Return a uninterpreted sort that m assigns an interpretation. More... | |
Z3_ast_vector Z3_API | Z3_model_get_sort_universe (Z3_context c, Z3_model m, Z3_sort s) |
Return the finite set of distinct values that represent the interpretation for sort s . More... | |
Z3_bool Z3_API | Z3_is_as_array (Z3_context c, Z3_ast a) |
The (_ as-array f) AST node is a construct for assigning interpretations for arrays in Z3. It is the array such that forall indices i we have that (select (_ as-array f) i) is equal to (f i) . This procedure returns Z3_TRUE if the a is an as-array AST node. More... | |
Z3_func_decl Z3_API | Z3_get_as_array_func_decl (Z3_context c, Z3_ast a) |
Return the function declaration f associated with a (_ as_array f) node. More... | |
void Z3_API | Z3_func_interp_inc_ref (Z3_context c, Z3_func_interp f) |
Increment the reference counter of the given Z3_func_interp object. More... | |
void Z3_API | Z3_func_interp_dec_ref (Z3_context c, Z3_func_interp f) |
Decrement the reference counter of the given Z3_func_interp object. More... | |
unsigned Z3_API | Z3_func_interp_get_num_entries (Z3_context c, Z3_func_interp f) |
Return the number of entries in the given function interpretation. More... | |
Z3_func_entry Z3_API | Z3_func_interp_get_entry (Z3_context c, Z3_func_interp f, unsigned i) |
Return a "point" of the given function intepretation. It represents the value of f in a particular point. More... | |
Z3_ast Z3_API | Z3_func_interp_get_else (Z3_context c, Z3_func_interp f) |
Return the 'else' value of the given function interpretation. More... | |
unsigned Z3_API | Z3_func_interp_get_arity (Z3_context c, Z3_func_interp f) |
Return the arity (number of arguments) of the given function interpretation. More... | |
void Z3_API | Z3_func_entry_inc_ref (Z3_context c, Z3_func_entry e) |
Increment the reference counter of the given Z3_func_entry object. More... | |
void Z3_API | Z3_func_entry_dec_ref (Z3_context c, Z3_func_entry e) |
Decrement the reference counter of the given Z3_func_entry object. More... | |
Z3_ast Z3_API | Z3_func_entry_get_value (Z3_context c, Z3_func_entry e) |
Return the value of this point. More... | |
unsigned Z3_API | Z3_func_entry_get_num_args (Z3_context c, Z3_func_entry e) |
Return the number of arguments in a Z3_func_entry object. More... | |
Z3_ast Z3_API | Z3_func_entry_get_arg (Z3_context c, Z3_func_entry e, unsigned i) |
Return an argument of a Z3_func_entry object. More... | |
Interaction logging. | |
Z3_bool Z3_API | Z3_open_log (Z3_string filename) |
Log interaction to a file. More... | |
void Z3_API | Z3_append_log (Z3_string string) |
Append user-defined string to interaction log. More... | |
void Z3_API | Z3_close_log (void) |
Close interaction log. More... | |
void Z3_API | Z3_toggle_warning_messages (Z3_bool enabled) |
Enable/disable printing warning messages to the console. More... | |
String conversion | |
void Z3_API | Z3_set_ast_print_mode (Z3_context c, Z3_ast_print_mode mode) |
Select mode for the format used for pretty-printing AST nodes. More... | |
Z3_string Z3_API | Z3_ast_to_string (Z3_context c, Z3_ast a) |
Convert the given AST node into a string. More... | |
Z3_string Z3_API | Z3_pattern_to_string (Z3_context c, Z3_pattern p) |
Z3_string Z3_API | Z3_sort_to_string (Z3_context c, Z3_sort s) |
Z3_string Z3_API | Z3_func_decl_to_string (Z3_context c, Z3_func_decl d) |
Z3_string Z3_API | Z3_model_to_string (Z3_context c, Z3_model m) |
Convert the given model into a string. More... | |
Z3_string Z3_API | Z3_benchmark_to_smtlib_string (Z3_context c, Z3_string name, Z3_string logic, Z3_string status, Z3_string attributes, unsigned num_assumptions, Z3_ast const assumptions[], Z3_ast formula) |
Convert the given benchmark into SMT-LIB formatted string. More... | |
Parser interface | |
Z3_ast Z3_API | Z3_parse_smtlib2_string (Z3_context c, Z3_string str, unsigned num_sorts, Z3_symbol const sort_names[], Z3_sort const sorts[], unsigned num_decls, Z3_symbol const decl_names[], Z3_func_decl const decls[]) |
Parse the given string using the SMT-LIB2 parser. More... | |
Z3_ast Z3_API | Z3_parse_smtlib2_file (Z3_context c, Z3_string file_name, unsigned num_sorts, Z3_symbol const sort_names[], Z3_sort const sorts[], unsigned num_decls, Z3_symbol const decl_names[], Z3_func_decl const decls[]) |
Similar to Z3_parse_smtlib2_string, but reads the benchmark from a file. More... | |
void Z3_API | Z3_parse_smtlib_string (Z3_context c, Z3_string str, unsigned num_sorts, Z3_symbol const sort_names[], Z3_sort const sorts[], unsigned num_decls, Z3_symbol const decl_names[], Z3_func_decl const decls[]) |
Parse the given string using the SMT-LIB parser. More... | |
void Z3_API | Z3_parse_smtlib_file (Z3_context c, Z3_string file_name, unsigned num_sorts, Z3_symbol const sort_names[], Z3_sort const sorts[], unsigned num_decls, Z3_symbol const decl_names[], Z3_func_decl const decls[]) |
Similar to Z3_parse_smtlib_string, but reads the benchmark from a file. More... | |
unsigned Z3_API | Z3_get_smtlib_num_formulas (Z3_context c) |
Return the number of SMTLIB formulas parsed by the last call to Z3_parse_smtlib_string or Z3_parse_smtlib_file. More... | |
Z3_ast Z3_API | Z3_get_smtlib_formula (Z3_context c, unsigned i) |
Return the i-th formula parsed by the last call to Z3_parse_smtlib_string or Z3_parse_smtlib_file. More... | |
unsigned Z3_API | Z3_get_smtlib_num_assumptions (Z3_context c) |
Return the number of SMTLIB assumptions parsed by Z3_parse_smtlib_string or Z3_parse_smtlib_file. More... | |
Z3_ast Z3_API | Z3_get_smtlib_assumption (Z3_context c, unsigned i) |
Return the i-th assumption parsed by the last call to Z3_parse_smtlib_string or Z3_parse_smtlib_file. More... | |
unsigned Z3_API | Z3_get_smtlib_num_decls (Z3_context c) |
Return the number of declarations parsed by Z3_parse_smtlib_string or Z3_parse_smtlib_file. More... | |
Z3_func_decl Z3_API | Z3_get_smtlib_decl (Z3_context c, unsigned i) |
Return the i-th declaration parsed by the last call to Z3_parse_smtlib_string or Z3_parse_smtlib_file. More... | |
unsigned Z3_API | Z3_get_smtlib_num_sorts (Z3_context c) |
Return the number of sorts parsed by Z3_parse_smtlib_string or Z3_parse_smtlib_file. More... | |
Z3_sort Z3_API | Z3_get_smtlib_sort (Z3_context c, unsigned i) |
Return the i-th sort parsed by the last call to Z3_parse_smtlib_string or Z3_parse_smtlib_file. More... | |
BEGIN_MLAPI_EXCLUDE Z3_string Z3_API | Z3_get_smtlib_error (Z3_context c) |
Retrieve that last error message information generated from parsing. More... | |
Error Handling | |
Z3_error_code Z3_API | Z3_get_error_code (Z3_context c) |
Return the error code for the last API call. More... | |
void Z3_API | Z3_set_error_handler (Z3_context c, Z3_error_handler h) |
Register a Z3 error handler. More... | |
void Z3_API | Z3_set_error (Z3_context c, Z3_error_code e) |
Set an error. More... | |
Z3_string Z3_API | Z3_get_error_msg (Z3_error_code err) |
Return a string describing the given error code. More... | |
BEGIN_MLAPI_EXCLUDE Z3_string Z3_API | Z3_get_error_msg_ex (Z3_context c, Z3_error_code err) |
Return a string describing the given error code. More... | |
Miscellaneous | |
void Z3_API | Z3_get_version (unsigned *major, unsigned *minor, unsigned *build_number, unsigned *revision_number) |
Return Z3 version number information. More... | |
void Z3_API | Z3_enable_trace (Z3_string tag) |
Enable tracing messages tagged as tag when Z3 is compiled in debug mode. It is a NOOP otherwise. More... | |
void Z3_API | Z3_disable_trace (Z3_string tag) |
Disable tracing messages tagged as tag when Z3 is compiled in debug mode. It is a NOOP otherwise. More... | |
void Z3_API | Z3_reset_memory (void) |
Reset all allocated resources. More... | |
void Z3_API | Z3_finalize_memory (void) |
Destroy all allocated resources. More... | |
External Theory Plugins | |
typedef Z3_bool | Z3_reduce_eq_callback_fptr(Z3_theory t, Z3_ast a, Z3_ast b, Z3_ast *r) |
typedef Z3_bool | Z3_reduce_app_callback_fptr(Z3_theory, Z3_func_decl, unsigned, Z3_ast const [], Z3_ast *) |
typedef Z3_bool | Z3_reduce_distinct_callback_fptr(Z3_theory, unsigned, Z3_ast const [], Z3_ast *) |
typedef void | Z3_theory_callback_fptr(Z3_theory t) |
typedef Z3_bool | Z3_theory_final_check_callback_fptr(Z3_theory) |
typedef void | Z3_theory_ast_callback_fptr(Z3_theory, Z3_ast) |
typedef void | Z3_theory_ast_bool_callback_fptr(Z3_theory, Z3_ast, Z3_bool) |
typedef void | Z3_theory_ast_ast_callback_fptr(Z3_theory, Z3_ast, Z3_ast) |
Z3_theory Z3_API | Z3_mk_theory (Z3_context c, Z3_string th_name, Z3_theory_data data) |
Create a new user defined theory. The new theory will be identified by the name th_name . A theory must be created before asserting any assertion to the given context. Return NULL in case of failure. More... | |
Z3_theory_data Z3_API | Z3_theory_get_ext_data (Z3_theory t) |
Return a pointer to the external data-structure supplied to the function Z3_mk_theory. More... | |
Z3_sort Z3_API | Z3_theory_mk_sort (Z3_context c, Z3_theory t, Z3_symbol s) |
Create an interpreted theory sort. More... | |
Z3_ast Z3_API | Z3_theory_mk_value (Z3_context c, Z3_theory t, Z3_symbol n, Z3_sort s) |
Create an interpreted theory constant value. Values are assumed to be different from each other. More... | |
Z3_ast Z3_API | Z3_theory_mk_constant (Z3_context c, Z3_theory t, Z3_symbol n, Z3_sort s) |
Create an interpreted constant for the given theory. More... | |
Z3_func_decl Z3_API | Z3_theory_mk_func_decl (Z3_context c, Z3_theory t, Z3_symbol n, unsigned domain_size, Z3_sort const domain[], Z3_sort range) |
Create an interpreted function declaration for the given theory. More... | |
Z3_context Z3_API | Z3_theory_get_context (Z3_theory t) |
Return the context where the given theory is installed. More... | |
void Z3_API | Z3_set_delete_callback (Z3_theory t, Z3_theory_callback_fptr f) |
Set a callback that is invoked when theory t is deleted. This callback should be used to delete external data-structures associated with the given theory. More... | |
void Z3_API | Z3_set_reduce_app_callback (Z3_theory t, Z3_reduce_app_callback_fptr f) |
Set a callback for simplifying operators of the given theory. The callback f is invoked by Z3's simplifier. More... | |
void Z3_API | Z3_set_reduce_eq_callback (Z3_theory t, Z3_reduce_eq_callback_fptr f) |
Set a callback for simplifying the atom s_1 = s_2 , when the sort of s_1 and s_2 is an interpreted sort of the given theory. The callback f is invoked by Z3's simplifier. More... | |
void Z3_API | Z3_set_reduce_distinct_callback (Z3_theory t, Z3_reduce_distinct_callback_fptr f) |
Set a callback for simplifying the atom distinct(s_1, ..., s_n) , when the sort of s_1 , ..., s_n is an interpreted sort of the given theory. The callback f is invoked by Z3's simplifier. More... | |
void Z3_API | Z3_set_new_app_callback (Z3_theory t, Z3_theory_ast_callback_fptr f) |
Set a callback that is invoked when a theory application is finally added into the logical context. Note that, not every application contained in an asserted expression is actually added into the logical context because it may be simplified during a preprocessing step. More... | |
void Z3_API | Z3_set_new_elem_callback (Z3_theory t, Z3_theory_ast_callback_fptr f) |
Set a callback that is invoked when an expression of sort s , where s is an interpreted sort of the theory t , is finally added into the logical context. Note that, not every expression contained in an asserted expression is actually added into the logical context because it may be simplified during a preprocessing step. More... | |
void Z3_API | Z3_set_init_search_callback (Z3_theory t, Z3_theory_callback_fptr f) |
Set a callback that is invoked when Z3 starts searching for a satisfying assignment. More... | |
void Z3_API | Z3_set_push_callback (Z3_theory t, Z3_theory_callback_fptr f) |
Set a callback that is invoked when Z3 creates a case-split (aka backtracking point). More... | |
void Z3_API | Z3_set_pop_callback (Z3_theory t, Z3_theory_callback_fptr f) |
Set a callback that is invoked when Z3 backtracks a case-split. More... | |
void Z3_API | Z3_set_restart_callback (Z3_theory t, Z3_theory_callback_fptr f) |
Set a callback that is invoked when Z3 restarts the search for a satisfying assignment. More... | |
void Z3_API | Z3_set_reset_callback (Z3_theory t, Z3_theory_callback_fptr f) |
Set a callback that is invoked when the logical context is reset by the user. This callback is useful for reseting any data-structure maintained by the user theory solver. More... | |
void Z3_API | Z3_set_final_check_callback (Z3_theory t, Z3_theory_final_check_callback_fptr f) |
Set a callback that is invoked before Z3 starts building a model. A theory may use this callback to perform expensive operations. More... | |
void Z3_API | Z3_set_new_eq_callback (Z3_theory t, Z3_theory_ast_ast_callback_fptr f) |
Set a callback that is invoked when an equality s_1 = s_2 is found by the logical context. More... | |
void Z3_API | Z3_set_new_diseq_callback (Z3_theory t, Z3_theory_ast_ast_callback_fptr f) |
Set a callback that is invoked when a disequality s_1 != s_2 is found by the logical context. More... | |
void Z3_API | Z3_set_new_assignment_callback (Z3_theory t, Z3_theory_ast_bool_callback_fptr f) |
Set a callback that is invoked when a theory predicate is assigned to true/false by Z3. More... | |
void Z3_API | Z3_set_new_relevant_callback (Z3_theory t, Z3_theory_ast_callback_fptr f) |
Set a callback that is invoked when an expression is marked as relevant during the search. This callback is only invoked when relevancy propagation is enabled. More... | |
void Z3_API | Z3_theory_assert_axiom (Z3_theory t, Z3_ast ax) |
Assert a theory axiom/lemmas during the search. More... | |
void Z3_API | Z3_theory_assume_eq (Z3_theory t, Z3_ast lhs, Z3_ast rhs) |
Inform to the logical context that lhs and rhs have the same interpretation in the model being built by theory t . If lhs = rhs is inconsistent with other theories, then the logical context will backtrack. More... | |
void Z3_API | Z3_theory_enable_axiom_simplification (Z3_theory t, Z3_bool flag) |
Enable/disable the simplification of theory axioms asserted using Z3_theory_assert_axiom. By default, the simplification of theory specific operators is disabled. That is, the reduce theory callbacks are not invoked for theory axioms. The default behavior is useful when asserting axioms stating properties of theory operators. More... | |
Z3_ast Z3_API | Z3_theory_get_eqc_root (Z3_theory t, Z3_ast n) |
Return the root of the equivalence class containing n . More... | |
Z3_ast Z3_API | Z3_theory_get_eqc_next (Z3_theory t, Z3_ast n) |
Return the next element in the equivalence class containing n . More... | |
unsigned Z3_API | Z3_theory_get_num_parents (Z3_theory t, Z3_ast n) |
Return the number of parents of n that are operators of the given theory. More... | |
Z3_ast Z3_API | Z3_theory_get_parent (Z3_theory t, Z3_ast n, unsigned i) |
Return the i-th parent of n . See Z3_theory_get_num_parents. More... | |
Z3_bool Z3_API | Z3_theory_is_value (Z3_theory t, Z3_ast n) |
Return Z3_TRUE if n is an interpreted theory value. More... | |
Z3_bool Z3_API | Z3_theory_is_decl (Z3_theory t, Z3_func_decl d) |
Return Z3_TRUE if d is an interpreted theory declaration. More... | |
unsigned Z3_API | Z3_theory_get_num_elems (Z3_theory t) |
Return the number of expressions of the given theory in the logical context. These are the expressions notified using the callback Z3_set_new_elem_callback. More... | |
Z3_ast Z3_API | Z3_theory_get_elem (Z3_theory t, unsigned i) |
Return the i-th elem of the given theory in the logical context. More... | |
unsigned Z3_API | Z3_theory_get_num_apps (Z3_theory t) |
Return the number of theory applications in the logical context. These are the expressions notified using the callback Z3_set_new_app_callback. More... | |
Z3_ast Z3_API | Z3_theory_get_app (Z3_theory t, unsigned i) |
Return the i-th application of the given theory in the logical context. More... | |
Fixedpoint facilities | |
typedef void | Z3_fixedpoint_reduce_assign_callback_fptr(void *, Z3_func_decl, unsigned, Z3_ast const [], unsigned, Z3_ast const []) |
The following utilities allows adding user-defined domains. More... | |
typedef void | Z3_fixedpoint_reduce_app_callback_fptr(void *, Z3_func_decl, unsigned, Z3_ast const [], Z3_ast *) |
Z3_fixedpoint Z3_API | Z3_mk_fixedpoint (Z3_context c) |
Create a new fixedpoint context. More... | |
void Z3_API | Z3_fixedpoint_inc_ref (Z3_context c, Z3_fixedpoint d) |
Increment the reference counter of the given fixedpoint context. More... | |
void Z3_API | Z3_fixedpoint_dec_ref (Z3_context c, Z3_fixedpoint d) |
Decrement the reference counter of the given fixedpoint context. More... | |
void Z3_API | Z3_fixedpoint_add_rule (Z3_context c, Z3_fixedpoint d, Z3_ast rule, Z3_symbol name) |
Add a universal Horn clause as a named rule. The horn_rule should be of the form: More... | |
void Z3_API | Z3_fixedpoint_add_fact (Z3_context c, Z3_fixedpoint d, Z3_func_decl r, unsigned num_args, unsigned args[]) |
Add a Database fact. More... | |
void Z3_API | Z3_fixedpoint_assert (Z3_context c, Z3_fixedpoint d, Z3_ast axiom) |
Assert a constraint to the fixedpoint context. More... | |
Z3_lbool Z3_API | Z3_fixedpoint_query (Z3_context c, Z3_fixedpoint d, Z3_ast query) |
Pose a query against the asserted rules. More... | |
Z3_lbool Z3_API | Z3_fixedpoint_query_relations (Z3_context c, Z3_fixedpoint d, unsigned num_relations, Z3_func_decl const relations[]) |
Pose multiple queries against the asserted rules. More... | |
Z3_ast Z3_API | Z3_fixedpoint_get_answer (Z3_context c, Z3_fixedpoint d) |
Retrieve a formula that encodes satisfying answers to the query. More... | |
Z3_string Z3_API | Z3_fixedpoint_get_reason_unknown (Z3_context c, Z3_fixedpoint d) |
Retrieve a string that describes the last status returned by Z3_fixedpoint_query. More... | |
void Z3_API | Z3_fixedpoint_update_rule (Z3_context c, Z3_fixedpoint d, Z3_ast a, Z3_symbol name) |
Update a named rule. A rule with the same name must have been previously created. More... | |
unsigned Z3_API | Z3_fixedpoint_get_num_levels (Z3_context c, Z3_fixedpoint d, Z3_func_decl pred) |
Query the PDR engine for the maximal levels properties are known about predicate. More... | |
Z3_ast Z3_API | Z3_fixedpoint_get_cover_delta (Z3_context c, Z3_fixedpoint d, int level, Z3_func_decl pred) |
void Z3_API | Z3_fixedpoint_add_cover (Z3_context c, Z3_fixedpoint d, int level, Z3_func_decl pred, Z3_ast property) |
Add property about the predicate pred . Add a property of predicate pred at level . It gets pushed forward when possible. More... | |
Z3_stats Z3_API | Z3_fixedpoint_get_statistics (Z3_context c, Z3_fixedpoint d) |
Retrieve statistics information from the last call to Z3_fixedpoint_query. More... | |
void Z3_API | Z3_fixedpoint_register_relation (Z3_context c, Z3_fixedpoint d, Z3_func_decl f) |
Register relation as Fixedpoint defined. Fixedpoint defined relations have least-fixedpoint semantics. For example, the relation is empty if it does not occur in a head or a fact. More... | |
void Z3_API | Z3_fixedpoint_set_predicate_representation (Z3_context c, Z3_fixedpoint d, Z3_func_decl f, unsigned num_relations, Z3_symbol const relation_kinds[]) |
Configure the predicate representation. More... | |
Z3_ast_vector Z3_API | Z3_fixedpoint_get_rules (Z3_context c, Z3_fixedpoint f) |
Retrieve set of rules from fixedpoint context. More... | |
Z3_ast_vector Z3_API | Z3_fixedpoint_get_assertions (Z3_context c, Z3_fixedpoint f) |
Retrieve set of background assertions from fixedpoint context. More... | |
void Z3_API | Z3_fixedpoint_set_params (Z3_context c, Z3_fixedpoint f, Z3_params p) |
Set parameters on fixedpoint context. More... | |
Z3_string Z3_API | Z3_fixedpoint_get_help (Z3_context c, Z3_fixedpoint f) |
Return a string describing all fixedpoint available parameters. More... | |
Z3_param_descrs Z3_API | Z3_fixedpoint_get_param_descrs (Z3_context c, Z3_fixedpoint f) |
Return the parameter description set for the given fixedpoint object. More... | |
Z3_string Z3_API | Z3_fixedpoint_to_string (Z3_context c, Z3_fixedpoint f, unsigned num_queries, Z3_ast queries[]) |
Print the current rules and background axioms as a string. More... | |
Z3_ast_vector Z3_API | Z3_fixedpoint_from_string (Z3_context c, Z3_fixedpoint f, Z3_string s) |
Parse an SMT-LIB2 string with fixedpoint rules. Add the rules to the current fixedpoint context. Return the set of queries in the string. More... | |
Z3_ast_vector Z3_API | Z3_fixedpoint_from_file (Z3_context c, Z3_fixedpoint f, Z3_string s) |
Parse an SMT-LIB2 file with fixedpoint rules. Add the rules to the current fixedpoint context. Return the set of queries in the file. More... | |
void Z3_API | Z3_fixedpoint_push (Z3_context c, Z3_fixedpoint d) |
Create a backtracking point. More... | |
void Z3_API | Z3_fixedpoint_pop (Z3_context c, Z3_fixedpoint d) |
Backtrack one backtracking point. More... | |
void Z3_API | Z3_fixedpoint_init (Z3_context c, Z3_fixedpoint d, void *state) |
Initialize the context with a user-defined state. More... | |
void Z3_API | Z3_fixedpoint_set_reduce_assign_callback (Z3_context c, Z3_fixedpoint d, Z3_fixedpoint_reduce_assign_callback_fptr cb) |
Register a callback to destructive updates. More... | |
void Z3_API | Z3_fixedpoint_set_reduce_app_callback (Z3_context c, Z3_fixedpoint d, Z3_fixedpoint_reduce_app_callback_fptr cb) |
Register a callback for buildling terms based on the relational operators. More... | |
Optimize facilities | |
Z3_optimize Z3_API | Z3_mk_optimize (Z3_context c) |
Create a new optimize context. More... | |
void Z3_API | Z3_optimize_inc_ref (Z3_context c, Z3_optimize d) |
Increment the reference counter of the given optimize context. More... | |
void Z3_API | Z3_optimize_dec_ref (Z3_context c, Z3_optimize d) |
Decrement the reference counter of the given optimize context. More... | |
void Z3_API | Z3_optimize_assert (Z3_context c, Z3_optimize o, Z3_ast a) |
Assert hard constraint to the optimization context. More... | |
unsigned Z3_API | Z3_optimize_assert_soft (Z3_context c, Z3_optimize o, Z3_ast a, Z3_string weight, Z3_symbol id) |
Assert soft constraint to the optimization context. More... | |
unsigned Z3_API | Z3_optimize_maximize (Z3_context c, Z3_optimize o, Z3_ast t) |
Add a maximization constraint. More... | |
unsigned Z3_API | Z3_optimize_minimize (Z3_context c, Z3_optimize o, Z3_ast t) |
Add a minimization constraint. More... | |
void Z3_API | Z3_optimize_push (Z3_context c, Z3_optimize d) |
Create a backtracking point. More... | |
void Z3_API | Z3_optimize_pop (Z3_context c, Z3_optimize d) |
Backtrack one level. More... | |
Z3_lbool Z3_API | Z3_optimize_check (Z3_context c, Z3_optimize o) |
Check consistency and produce optimal values. More... | |
Z3_string Z3_API | Z3_optimize_get_reason_unknown (Z3_context c, Z3_optimize d) |
Retrieve a string that describes the last status returned by Z3_optimize_check. More... | |
Z3_model Z3_API | Z3_optimize_get_model (Z3_context c, Z3_optimize o) |
Retrieve the model for the last Z3_optimize_check. More... | |
void Z3_API | Z3_optimize_set_params (Z3_context c, Z3_optimize o, Z3_params p) |
Set parameters on optimization context. More... | |
Z3_param_descrs Z3_API | Z3_optimize_get_param_descrs (Z3_context c, Z3_optimize o) |
Return the parameter description set for the given optimize object. More... | |
Z3_ast Z3_API | Z3_optimize_get_lower (Z3_context c, Z3_optimize o, unsigned idx) |
Retrieve lower bound value or approximation for the i'th optimization objective. More... | |
Z3_ast Z3_API | Z3_optimize_get_upper (Z3_context c, Z3_optimize o, unsigned idx) |
Retrieve upper bound value or approximation for the i'th optimization objective. More... | |
Z3_string Z3_API | Z3_optimize_to_string (Z3_context c, Z3_optimize o) |
Print the current context as a string. More... | |
Z3_string Z3_API | Z3_optimize_get_help (Z3_context c, Z3_optimize t) |
Return a string containing a description of parameters accepted by optimize. More... | |
Z3_stats Z3_API | Z3_optimize_get_statistics (Z3_context c, Z3_optimize d) |
Retrieve statistics information from the last call to Z3_optimize_check. More... | |
AST vectors | |
Z3_ast_vector Z3_API | Z3_mk_ast_vector (Z3_context c) |
Return an empty AST vector. More... | |
void Z3_API | Z3_ast_vector_inc_ref (Z3_context c, Z3_ast_vector v) |
Increment the reference counter of the given AST vector. More... | |
void Z3_API | Z3_ast_vector_dec_ref (Z3_context c, Z3_ast_vector v) |
Decrement the reference counter of the given AST vector. More... | |
unsigned Z3_API | Z3_ast_vector_size (Z3_context c, Z3_ast_vector v) |
Return the size of the given AST vector. More... | |
Z3_ast Z3_API | Z3_ast_vector_get (Z3_context c, Z3_ast_vector v, unsigned i) |
Return the AST at position i in the AST vector v . More... | |
void Z3_API | Z3_ast_vector_set (Z3_context c, Z3_ast_vector v, unsigned i, Z3_ast a) |
Update position i of the AST vector v with the AST a . More... | |
void Z3_API | Z3_ast_vector_resize (Z3_context c, Z3_ast_vector v, unsigned n) |
Resize the AST vector v . More... | |
void Z3_API | Z3_ast_vector_push (Z3_context c, Z3_ast_vector v, Z3_ast a) |
Add the AST a in the end of the AST vector v . The size of v is increased by one. More... | |
Z3_ast_vector Z3_API | Z3_ast_vector_translate (Z3_context s, Z3_ast_vector v, Z3_context t) |
Translate the AST vector v from context s into an AST vector in context t . More... | |
Z3_string Z3_API | Z3_ast_vector_to_string (Z3_context c, Z3_ast_vector v) |
Convert AST vector into a string. More... | |
AST maps | |
Z3_ast_map Z3_API | Z3_mk_ast_map (Z3_context c) |
Return an empty mapping from AST to AST. More... | |
void Z3_API | Z3_ast_map_inc_ref (Z3_context c, Z3_ast_map m) |
Increment the reference counter of the given AST map. More... | |
void Z3_API | Z3_ast_map_dec_ref (Z3_context c, Z3_ast_map m) |
Decrement the reference counter of the given AST map. More... | |
Z3_bool Z3_API | Z3_ast_map_contains (Z3_context c, Z3_ast_map m, Z3_ast k) |
Return true if the map m contains the AST key k . More... | |
Z3_ast Z3_API | Z3_ast_map_find (Z3_context c, Z3_ast_map m, Z3_ast k) |
Return the value associated with the key k . More... | |
void Z3_API | Z3_ast_map_insert (Z3_context c, Z3_ast_map m, Z3_ast k, Z3_ast v) |
Store/Replace a new key, value pair in the given map. More... | |
void Z3_API | Z3_ast_map_erase (Z3_context c, Z3_ast_map m, Z3_ast k) |
Erase a key from the map. More... | |
void Z3_API | Z3_ast_map_reset (Z3_context c, Z3_ast_map m) |
Remove all keys from the given map. More... | |
unsigned Z3_API | Z3_ast_map_size (Z3_context c, Z3_ast_map m) |
Return the size of the given map. More... | |
Z3_ast_vector Z3_API | Z3_ast_map_keys (Z3_context c, Z3_ast_map m) |
Return the keys stored in the given map. More... | |
Z3_string Z3_API | Z3_ast_map_to_string (Z3_context c, Z3_ast_map m) |
Convert the given map into a string. More... | |
Goals | |
Z3_goal Z3_API | Z3_mk_goal (Z3_context c, Z3_bool models, Z3_bool unsat_cores, Z3_bool proofs) |
Create a goal (aka problem). A goal is essentially a set of formulas, that can be solved and/or transformed using tactics and solvers. More... | |
void Z3_API | Z3_goal_inc_ref (Z3_context c, Z3_goal g) |
Increment the reference counter of the given goal. More... | |
void Z3_API | Z3_goal_dec_ref (Z3_context c, Z3_goal g) |
Decrement the reference counter of the given goal. More... | |
Z3_goal_prec Z3_API | Z3_goal_precision (Z3_context c, Z3_goal g) |
Return the "precision" of the given goal. Goals can be transformed using over and under approximations. A under approximation is applied when the objective is to find a model for a given goal. An over approximation is applied when the objective is to find a proof for a given goal. More... | |
void Z3_API | Z3_goal_assert (Z3_context c, Z3_goal g, Z3_ast a) |
Add a new formula a to the given goal. More... | |
Z3_bool Z3_API | Z3_goal_inconsistent (Z3_context c, Z3_goal g) |
Return true if the given goal contains the formula false . More... | |
unsigned Z3_API | Z3_goal_depth (Z3_context c, Z3_goal g) |
Return the depth of the given goal. It tracks how many transformations were applied to it. More... | |
void Z3_API | Z3_goal_reset (Z3_context c, Z3_goal g) |
Erase all formulas from the given goal. More... | |
unsigned Z3_API | Z3_goal_size (Z3_context c, Z3_goal g) |
Return the number of formulas in the given goal. More... | |
Z3_ast Z3_API | Z3_goal_formula (Z3_context c, Z3_goal g, unsigned idx) |
Return a formula from the given goal. More... | |
unsigned Z3_API | Z3_goal_num_exprs (Z3_context c, Z3_goal g) |
Return the number of formulas, subformulas and terms in the given goal. More... | |
Z3_bool Z3_API | Z3_goal_is_decided_sat (Z3_context c, Z3_goal g) |
Return true if the goal is empty, and it is precise or the product of a under approximation. More... | |
Z3_bool Z3_API | Z3_goal_is_decided_unsat (Z3_context c, Z3_goal g) |
Return true if the goal contains false, and it is precise or the product of an over approximation. More... | |
Z3_goal Z3_API | Z3_goal_translate (Z3_context source, Z3_goal g, Z3_context target) |
Copy a goal g from the context source to a the context target . More... | |
Z3_string Z3_API | Z3_goal_to_string (Z3_context c, Z3_goal g) |
Convert a goal into a string. More... | |
Tactics and Probes | |
Z3_tactic Z3_API | Z3_mk_tactic (Z3_context c, Z3_string name) |
Return a tactic associated with the given name. The complete list of tactics may be obtained using the procedures Z3_get_num_tactics and Z3_get_tactic_name. It may also be obtained using the command (help-tactics) in the SMT 2.0 front-end. More... | |
void Z3_API | Z3_tactic_inc_ref (Z3_context c, Z3_tactic t) |
Increment the reference counter of the given tactic. More... | |
void Z3_API | Z3_tactic_dec_ref (Z3_context c, Z3_tactic g) |
Decrement the reference counter of the given tactic. More... | |
Z3_probe Z3_API | Z3_mk_probe (Z3_context c, Z3_string name) |
Return a probe associated with the given name. The complete list of probes may be obtained using the procedures Z3_get_num_probes and Z3_get_probe_name. It may also be obtained using the command (help-tactics) in the SMT 2.0 front-end. More... | |
void Z3_API | Z3_probe_inc_ref (Z3_context c, Z3_probe p) |
Increment the reference counter of the given probe. More... | |
void Z3_API | Z3_probe_dec_ref (Z3_context c, Z3_probe p) |
Decrement the reference counter of the given probe. More... | |
Z3_tactic Z3_API | Z3_tactic_and_then (Z3_context c, Z3_tactic t1, Z3_tactic t2) |
Return a tactic that applies t1 to a given goal and t2 to every subgoal produced by t1. More... | |
Z3_tactic Z3_API | Z3_tactic_or_else (Z3_context c, Z3_tactic t1, Z3_tactic t2) |
Return a tactic that first applies t1 to a given goal, if it fails then returns the result of t2 applied to the given goal. More... | |
Z3_tactic Z3_API | Z3_tactic_par_or (Z3_context c, unsigned num, Z3_tactic const ts[]) |
Return a tactic that applies the given tactics in parallel. More... | |
Z3_tactic Z3_API | Z3_tactic_par_and_then (Z3_context c, Z3_tactic t1, Z3_tactic t2) |
Return a tactic that applies t1 to a given goal and then t2 to every subgoal produced by t1. The subgoals are processed in parallel. More... | |
Z3_tactic Z3_API | Z3_tactic_try_for (Z3_context c, Z3_tactic t, unsigned ms) |
Return a tactic that applies t to a given goal for ms milliseconds. If t does not terminate in ms milliseconds, then it fails. More... | |
Z3_tactic Z3_API | Z3_tactic_when (Z3_context c, Z3_probe p, Z3_tactic t) |
Return a tactic that applies t to a given goal is the probe p evaluates to true. If p evaluates to false, then the new tactic behaves like the skip tactic. More... | |
Z3_tactic Z3_API | Z3_tactic_cond (Z3_context c, Z3_probe p, Z3_tactic t1, Z3_tactic t2) |
Return a tactic that applies t1 to a given goal if the probe p evaluates to true, and t2 if p evaluates to false. More... | |
Z3_tactic Z3_API | Z3_tactic_repeat (Z3_context c, Z3_tactic t, unsigned max) |
Return a tactic that keeps applying t until the goal is not modified anymore or the maximum number of iterations max is reached. More... | |
Z3_tactic Z3_API | Z3_tactic_skip (Z3_context c) |
Return a tactic that just return the given goal. More... | |
Z3_tactic Z3_API | Z3_tactic_fail (Z3_context c) |
Return a tactic that always fails. More... | |
Z3_tactic Z3_API | Z3_tactic_fail_if (Z3_context c, Z3_probe p) |
Return a tactic that fails if the probe p evaluates to false. More... | |
Z3_tactic Z3_API | Z3_tactic_fail_if_not_decided (Z3_context c) |
Return a tactic that fails if the goal is not trivially satisfiable (i.e., empty) or trivially unsatisfiable (i.e., contains false). More... | |
Z3_tactic Z3_API | Z3_tactic_using_params (Z3_context c, Z3_tactic t, Z3_params p) |
Return a tactic that applies t using the given set of parameters. More... | |
Z3_probe Z3_API | Z3_probe_const (Z3_context x, double val) |
Return a probe that always evaluates to val. More... | |
Z3_probe Z3_API | Z3_probe_lt (Z3_context x, Z3_probe p1, Z3_probe p2) |
Return a probe that evaluates to "true" when the value returned by p1 is less than the value returned by p2 . More... | |
Z3_probe Z3_API | Z3_probe_gt (Z3_context x, Z3_probe p1, Z3_probe p2) |
Return a probe that evaluates to "true" when the value returned by p1 is greater than the value returned by p2 . More... | |
Z3_probe Z3_API | Z3_probe_le (Z3_context x, Z3_probe p1, Z3_probe p2) |
Return a probe that evaluates to "true" when the value returned by p1 is less than or equal to the value returned by p2 . More... | |
Z3_probe Z3_API | Z3_probe_ge (Z3_context x, Z3_probe p1, Z3_probe p2) |
Return a probe that evaluates to "true" when the value returned by p1 is greater than or equal to the value returned by p2 . More... | |
Z3_probe Z3_API | Z3_probe_eq (Z3_context x, Z3_probe p1, Z3_probe p2) |
Return a probe that evaluates to "true" when the value returned by p1 is equal to the value returned by p2 . More... | |
Z3_probe Z3_API | Z3_probe_and (Z3_context x, Z3_probe p1, Z3_probe p2) |
Return a probe that evaluates to "true" when p1 and p2 evaluates to true. More... | |
Z3_probe Z3_API | Z3_probe_or (Z3_context x, Z3_probe p1, Z3_probe p2) |
Return a probe that evaluates to "true" when p1 or p2 evaluates to true. More... | |
Z3_probe Z3_API | Z3_probe_not (Z3_context x, Z3_probe p) |
Return a probe that evaluates to "true" when p does not evaluate to true. More... | |
unsigned Z3_API | Z3_get_num_tactics (Z3_context c) |
Return the number of builtin tactics available in Z3. More... | |
Z3_string Z3_API | Z3_get_tactic_name (Z3_context c, unsigned i) |
Return the name of the idx tactic. More... | |
unsigned Z3_API | Z3_get_num_probes (Z3_context c) |
Return the number of builtin probes available in Z3. More... | |
Z3_string Z3_API | Z3_get_probe_name (Z3_context c, unsigned i) |
Return the name of the i probe. More... | |
Z3_string Z3_API | Z3_tactic_get_help (Z3_context c, Z3_tactic t) |
Return a string containing a description of parameters accepted by the given tactic. More... | |
Z3_param_descrs Z3_API | Z3_tactic_get_param_descrs (Z3_context c, Z3_tactic t) |
Return the parameter description set for the given tactic object. More... | |
Z3_string Z3_API | Z3_tactic_get_descr (Z3_context c, Z3_string name) |
Return a string containing a description of the tactic with the given name. More... | |
Z3_string Z3_API | Z3_probe_get_descr (Z3_context c, Z3_string name) |
Return a string containing a description of the probe with the given name. More... | |
double Z3_API | Z3_probe_apply (Z3_context c, Z3_probe p, Z3_goal g) |
Execute the probe over the goal. The probe always produce a double value. "Boolean" probes return 0.0 for false, and a value different from 0.0 for true. More... | |
Z3_apply_result Z3_API | Z3_tactic_apply (Z3_context c, Z3_tactic t, Z3_goal g) |
Apply tactic t to the goal g . More... | |
Z3_apply_result Z3_API | Z3_tactic_apply_ex (Z3_context c, Z3_tactic t, Z3_goal g, Z3_params p) |
Apply tactic t to the goal g using the parameter set p . More... | |
void Z3_API | Z3_apply_result_inc_ref (Z3_context c, Z3_apply_result r) |
Increment the reference counter of the given Z3_apply_result object. More... | |
void Z3_API | Z3_apply_result_dec_ref (Z3_context c, Z3_apply_result r) |
Decrement the reference counter of the given Z3_apply_result object. More... | |
Z3_string Z3_API | Z3_apply_result_to_string (Z3_context c, Z3_apply_result r) |
Convert the Z3_apply_result object returned by Z3_tactic_apply into a string. More... | |
unsigned Z3_API | Z3_apply_result_get_num_subgoals (Z3_context c, Z3_apply_result r) |
Return the number of subgoals in the Z3_apply_result object returned by Z3_tactic_apply. More... | |
Z3_goal Z3_API | Z3_apply_result_get_subgoal (Z3_context c, Z3_apply_result r, unsigned i) |
Return one of the subgoals in the Z3_apply_result object returned by Z3_tactic_apply. More... | |
Z3_model Z3_API | Z3_apply_result_convert_model (Z3_context c, Z3_apply_result r, unsigned i, Z3_model m) |
Convert a model for the subgoal Z3_apply_result_get_subgoal(c, r, i) into a model for the original goal g . Where g is the goal used to create r using Z3_tactic_apply(c, t, g) . More... | |
Solvers | |
Z3_solver Z3_API | Z3_mk_solver (Z3_context c) |
Create a new (incremental) solver. This solver also uses a set of builtin tactics for handling the first check-sat command, and check-sat commands that take more than a given number of milliseconds to be solved. More... | |
Z3_solver Z3_API | Z3_mk_simple_solver (Z3_context c) |
Create a new (incremental) solver. More... | |
Z3_solver Z3_API | Z3_mk_solver_for_logic (Z3_context c, Z3_symbol logic) |
Create a new solver customized for the given logic. It behaves like Z3_mk_solver if the logic is unknown or unsupported. More... | |
Z3_solver Z3_API | Z3_mk_solver_from_tactic (Z3_context c, Z3_tactic t) |
Create a new solver that is implemented using the given tactic. The solver supports the commands Z3_solver_push and Z3_solver_pop, but it will always solve each Z3_solver_check from scratch. More... | |
Z3_string Z3_API | Z3_solver_get_help (Z3_context c, Z3_solver s) |
Return a string describing all solver available parameters. More... | |
Z3_param_descrs Z3_API | Z3_solver_get_param_descrs (Z3_context c, Z3_solver s) |
Return the parameter description set for the given solver object. More... | |
void Z3_API | Z3_solver_set_params (Z3_context c, Z3_solver s, Z3_params p) |
Set the given solver using the given parameters. More... | |
void Z3_API | Z3_solver_inc_ref (Z3_context c, Z3_solver s) |
Increment the reference counter of the given solver. More... | |
void Z3_API | Z3_solver_dec_ref (Z3_context c, Z3_solver s) |
Decrement the reference counter of the given solver. More... | |
void Z3_API | Z3_solver_push (Z3_context c, Z3_solver s) |
Create a backtracking point. More... | |
void Z3_API | Z3_solver_pop (Z3_context c, Z3_solver s, unsigned n) |
Backtrack n backtracking points. More... | |
void Z3_API | Z3_solver_reset (Z3_context c, Z3_solver s) |
Remove all assertions from the solver. More... | |
unsigned Z3_API | Z3_solver_get_num_scopes (Z3_context c, Z3_solver s) |
Return the number of backtracking points. More... | |
void Z3_API | Z3_solver_assert (Z3_context c, Z3_solver s, Z3_ast a) |
Assert a constraint into the solver. More... | |
void Z3_API | Z3_solver_assert_and_track (Z3_context c, Z3_solver s, Z3_ast a, Z3_ast p) |
Assert a constraint a into the solver, and track it (in the unsat) core using the Boolean constant p . More... | |
Z3_ast_vector Z3_API | Z3_solver_get_assertions (Z3_context c, Z3_solver s) |
Return the set of asserted formulas as a goal object. More... | |
Z3_lbool Z3_API | Z3_solver_check (Z3_context c, Z3_solver s) |
Check whether the assertions in a given solver are consistent or not. More... | |
Z3_lbool Z3_API | Z3_solver_check_assumptions (Z3_context c, Z3_solver s, unsigned num_assumptions, Z3_ast const assumptions[]) |
Check whether the assertions in the given solver and optional assumptions are consistent or not. More... | |
Z3_model Z3_API | Z3_solver_get_model (Z3_context c, Z3_solver s) |
Retrieve the model for the last Z3_solver_check or Z3_solver_check_assumptions. More... | |
Z3_ast Z3_API | Z3_solver_get_proof (Z3_context c, Z3_solver s) |
Retrieve the proof for the last Z3_solver_check or Z3_solver_check_assumptions. More... | |
Z3_ast_vector Z3_API | Z3_solver_get_unsat_core (Z3_context c, Z3_solver s) |
Retrieve the unsat core for the last Z3_solver_check_assumptions The unsat core is a subset of the assumptions a . More... | |
Z3_string Z3_API | Z3_solver_get_reason_unknown (Z3_context c, Z3_solver s) |
Return a brief justification for an "unknown" result (i.e., Z3_L_UNDEF) for the commands Z3_solver_check and Z3_solver_check_assumptions. More... | |
Z3_stats Z3_API | Z3_solver_get_statistics (Z3_context c, Z3_solver s) |
Return statistics for the given solver. More... | |
Z3_string Z3_API | Z3_solver_to_string (Z3_context c, Z3_solver s) |
Convert a solver into a string. More... | |
Statistics | |
Z3_string Z3_API | Z3_stats_to_string (Z3_context c, Z3_stats s) |
Convert a statistics into a string. More... | |
void Z3_API | Z3_stats_inc_ref (Z3_context c, Z3_stats s) |
Increment the reference counter of the given statistics object. More... | |
void Z3_API | Z3_stats_dec_ref (Z3_context c, Z3_stats s) |
Decrement the reference counter of the given statistics object. More... | |
unsigned Z3_API | Z3_stats_size (Z3_context c, Z3_stats s) |
Return the number of statistical data in s . More... | |
Z3_string Z3_API | Z3_stats_get_key (Z3_context c, Z3_stats s, unsigned idx) |
Return the key (a string) for a particular statistical data. More... | |
Z3_bool Z3_API | Z3_stats_is_uint (Z3_context c, Z3_stats s, unsigned idx) |
Return Z3_TRUE if the given statistical data is a unsigned integer. More... | |
Z3_bool Z3_API | Z3_stats_is_double (Z3_context c, Z3_stats s, unsigned idx) |
Return Z3_TRUE if the given statistical data is a double. More... | |
unsigned Z3_API | Z3_stats_get_uint_value (Z3_context c, Z3_stats s, unsigned idx) |
Return the unsigned value of the given statistical data. More... | |
double Z3_API | Z3_stats_get_double_value (Z3_context c, Z3_stats s, unsigned idx) |
Return the double value of the given statistical data. More... | |
Deprecated Injective functions API | |
Z3_func_decl Z3_API | Z3_mk_injective_function (Z3_context c, Z3_symbol s, unsigned domain_size, Z3_sort const domain[], Z3_sort range) |
Create injective function declaration. More... | |
Deprecated Constraints API | |
Z3_bool Z3_API | Z3_set_logic (Z3_context c, Z3_string logic) |
Set the SMTLIB logic to be used in the given logical context. It is incorrect to invoke this function after invoking Z3_check, Z3_check_and_get_model, Z3_check_assumptions and Z3_push. Return Z3_TRUE if the logic was changed successfully, and Z3_FALSE otherwise. More... | |
void Z3_API | Z3_push (Z3_context c) |
Create a backtracking point. More... | |
void Z3_API | Z3_pop (Z3_context c, unsigned num_scopes) |
Backtrack. More... | |
unsigned Z3_API | Z3_get_num_scopes (Z3_context c) |
Retrieve the current scope level. More... | |
void Z3_API | Z3_persist_ast (Z3_context c, Z3_ast a, unsigned num_scopes) |
Persist AST through num_scopes pops. This function is only relevant if c was created using Z3_mk_context. If c was created using Z3_mk_context_rc, this function is a NOOP. More... | |
void Z3_API | Z3_assert_cnstr (Z3_context c, Z3_ast a) |
Assert a constraint into the logical context. More... | |
Z3_lbool Z3_API | Z3_check_and_get_model (Z3_context c, Z3_model *m) |
Check whether the given logical context is consistent or not. More... | |
Z3_lbool Z3_API | Z3_check (Z3_context c) |
Check whether the given logical context is consistent or not. More... | |
Z3_lbool Z3_API | Z3_check_assumptions (Z3_context c, unsigned num_assumptions, Z3_ast const assumptions[], Z3_model *m, Z3_ast *proof, unsigned *core_size, Z3_ast core[]) |
Check whether the given logical context and optional assumptions is consistent or not. More... | |
Z3_lbool Z3_API | Z3_get_implied_equalities (Z3_context c, Z3_solver s, unsigned num_terms, Z3_ast const terms[], unsigned class_ids[]) |
Retrieve congruence class representatives for terms. More... | |
void Z3_API | Z3_del_model (Z3_context c, Z3_model m) |
Delete a model object. More... | |
Deprecated Search control API | |
void Z3_API | Z3_soft_check_cancel (Z3_context c) |
Cancel an ongoing check. More... | |
Z3_search_failure Z3_API | Z3_get_search_failure (Z3_context c) |
Retrieve reason for search failure. More... | |
Deprecated Labels API | |
Z3_ast Z3_API | Z3_mk_label (Z3_context c, Z3_symbol s, Z3_bool is_pos, Z3_ast f) |
Create a labeled formula. More... | |
Z3_literals Z3_API | Z3_get_relevant_labels (Z3_context c) |
Retrieve the set of labels that were relevant in the context of the current satisfied context. More... | |
Z3_literals Z3_API | Z3_get_relevant_literals (Z3_context c) |
Retrieve the set of literals that satisfy the current context. More... | |
Z3_literals Z3_API | Z3_get_guessed_literals (Z3_context c) |
Retrieve the set of literals that whose assignment were guess, but not propagated during the search. More... | |
void Z3_API | Z3_del_literals (Z3_context c, Z3_literals lbls) |
Delete a labels context. More... | |
unsigned Z3_API | Z3_get_num_literals (Z3_context c, Z3_literals lbls) |
Retrieve the number of label symbols that were returned. More... | |
Z3_symbol Z3_API | Z3_get_label_symbol (Z3_context c, Z3_literals lbls, unsigned idx) |
Retrieve label symbol at idx. More... | |
Z3_ast Z3_API | Z3_get_literal (Z3_context c, Z3_literals lbls, unsigned idx) |
Retrieve literal expression at idx. More... | |
void Z3_API | Z3_disable_literal (Z3_context c, Z3_literals lbls, unsigned idx) |
Disable label. More... | |
void Z3_API | Z3_block_literals (Z3_context c, Z3_literals lbls) |
Block subsequent checks using the remaining enabled labels. More... | |
Deprecated Model API | |
unsigned Z3_API | Z3_get_model_num_constants (Z3_context c, Z3_model m) |
Return the number of constants assigned by the given model. More... | |
Z3_func_decl Z3_API | Z3_get_model_constant (Z3_context c, Z3_model m, unsigned i) |
Return the i-th constant in the given model. More... | |
unsigned Z3_API | Z3_get_model_num_funcs (Z3_context c, Z3_model m) |
Return the number of function interpretations in the given model. More... | |
Z3_func_decl Z3_API | Z3_get_model_func_decl (Z3_context c, Z3_model m, unsigned i) |
Return the declaration of the i-th function in the given model. More... | |
Z3_bool Z3_API | Z3_eval_func_decl (Z3_context c, Z3_model m, Z3_func_decl decl, Z3_ast *v) |
Return the value of the given constant or function in the given model. More... | |
Z3_bool Z3_API | Z3_is_array_value (Z3_context c, Z3_model m, Z3_ast v, unsigned *num_entries) |
Determine whether the term encodes an array value. A term encodes an array value if it is a nested sequence of applications of store on top of a constant array. The indices to the stores have to be values (for example, integer constants) so that equality between the indices can be evaluated. Array values are useful for representing interpretations for arrays. More... | |
void Z3_API | Z3_get_array_value (Z3_context c, Z3_model m, Z3_ast v, unsigned num_entries, Z3_ast indices[], Z3_ast values[], Z3_ast *else_value) |
An array values is represented as a dictionary plus a default (else) value. This function returns the array graph. More... | |
Z3_ast Z3_API | Z3_get_model_func_else (Z3_context c, Z3_model m, unsigned i) |
Return the 'else' value of the i-th function interpretation in the given model. More... | |
unsigned Z3_API | Z3_get_model_func_num_entries (Z3_context c, Z3_model m, unsigned i) |
Return the number of entries of the i-th function interpretation in the given model. More... | |
unsigned Z3_API | Z3_get_model_func_entry_num_args (Z3_context c, Z3_model m, unsigned i, unsigned j) |
Return the number of arguments of the j-th entry of the i-th function interpretation in the given model. More... | |
Z3_ast Z3_API | Z3_get_model_func_entry_arg (Z3_context c, Z3_model m, unsigned i, unsigned j, unsigned k) |
Return the k-th argument of the j-th entry of the i-th function interpretation in the given model. More... | |
Z3_ast Z3_API | Z3_get_model_func_entry_value (Z3_context c, Z3_model m, unsigned i, unsigned j) |
Return the return value of the j-th entry of the i-th function interpretation in the given model. More... | |
Z3_bool Z3_API | Z3_eval (Z3_context c, Z3_model m, Z3_ast t, Z3_ast *v) |
Evaluate the AST node t in the given model. Return Z3_TRUE if succeeded, and store the result in v .The evaluation may fail for the following reasons: More... | |
Z3_bool Z3_API | Z3_eval_decl (Z3_context c, Z3_model m, Z3_func_decl d, unsigned num_args, Z3_ast const args[], Z3_ast *v) |
Evaluate declaration given values. More... | |
Deprecated String conversion API | |
Z3_string Z3_API | Z3_context_to_string (Z3_context c) |
Convert the given logical context into a string. More... | |
Z3_string Z3_API | Z3_statistics_to_string (Z3_context c) |
Return runtime statistics as a string. More... | |
Z3_ast Z3_API | Z3_get_context_assignment (Z3_context c) |
Extract satisfying assignment from context as a conjunction. More... | |
Floating-Point API | |
Z3_sort Z3_API | Z3_mk_fpa_rounding_mode_sort (Z3_context c) |
Create the RoundingMode sort. More... | |
Z3_ast Z3_API | Z3_mk_fpa_round_nearest_ties_to_even (Z3_context c) |
Create a numeral of RoundingMode sort which represents the NearestTiesToEven rounding mode. More... | |
Z3_ast Z3_API | Z3_mk_fpa_rne (Z3_context c) |
Create a numeral of RoundingMode sort which represents the NearestTiesToEven rounding mode. More... | |
Z3_ast Z3_API | Z3_mk_fpa_round_nearest_ties_to_away (Z3_context c) |
Create a numeral of RoundingMode sort which represents the NearestTiesToAway rounding mode. More... | |
Z3_ast Z3_API | Z3_mk_fpa_rna (Z3_context c) |
Create a numeral of RoundingMode sort which represents the NearestTiesToAway rounding mode. More... | |
Z3_ast Z3_API | Z3_mk_fpa_round_toward_positive (Z3_context c) |
Create a numeral of RoundingMode sort which represents the TowardPositive rounding mode. More... | |
Z3_ast Z3_API | Z3_mk_fpa_rtp (Z3_context c) |
Create a numeral of RoundingMode sort which represents the TowardPositive rounding mode. More... | |
Z3_ast Z3_API | Z3_mk_fpa_round_toward_negative (Z3_context c) |
Create a numeral of RoundingMode sort which represents the TowardNegative rounding mode. More... | |
Z3_ast Z3_API | Z3_mk_fpa_rtn (Z3_context c) |
Create a numeral of RoundingMode sort which represents the TowardNegative rounding mode. More... | |
Z3_ast Z3_API | Z3_mk_fpa_round_toward_zero (Z3_context c) |
Create a numeral of RoundingMode sort which represents the TowardZero rounding mode. More... | |
Z3_ast Z3_API | Z3_mk_fpa_rtz (Z3_context c) |
Create a numeral of RoundingMode sort which represents the TowardZero rounding mode. More... | |
Z3_sort Z3_API | Z3_mk_fpa_sort (Z3_context c, unsigned ebits, unsigned sbits) |
Create a FloatingPoint sort. More... | |
Z3_sort Z3_API | Z3_mk_fpa_sort_half (Z3_context c) |
Create the half-precision (16-bit) FloatingPoint sort. More... | |
Z3_sort Z3_API | Z3_mk_fpa_sort_16 (Z3_context c) |
Create the half-precision (16-bit) FloatingPoint sort. More... | |
Z3_sort Z3_API | Z3_mk_fpa_sort_single (Z3_context c) |
Create the single-precision (32-bit) FloatingPoint sort. More... | |
Z3_sort Z3_API | Z3_mk_fpa_sort_32 (Z3_context c) |
Create the single-precision (32-bit) FloatingPoint sort. More... | |
Z3_sort Z3_API | Z3_mk_fpa_sort_double (Z3_context c) |
Create the double-precision (64-bit) FloatingPoint sort. More... | |
Z3_sort Z3_API | Z3_mk_fpa_sort_64 (Z3_context c) |
Create the double-precision (64-bit) FloatingPoint sort. More... | |
Z3_sort Z3_API | Z3_mk_fpa_sort_quadruple (Z3_context c) |
Create the quadruple-precision (128-bit) FloatingPoint sort. More... | |
Z3_sort Z3_API | Z3_mk_fpa_sort_128 (Z3_context c) |
Create the quadruple-precision (128-bit) FloatingPoint sort. More... | |
Z3_ast Z3_API | Z3_mk_fpa_nan (Z3_context c, Z3_sort s) |
Create a floating-point NaN of sort s. More... | |
Z3_ast Z3_API | Z3_mk_fpa_inf (Z3_context c, Z3_sort s, Z3_bool negative) |
Create a floating-point infinity of sort s. More... | |
Z3_ast Z3_API | Z3_mk_fpa_zero (Z3_context c, Z3_sort s, Z3_bool negative) |
Create a floating-point zero of sort s. More... | |
Z3_ast Z3_API | Z3_mk_fpa_fp (Z3_context c, Z3_ast sgn, Z3_ast exp, Z3_ast sig) |
Create an expression of FloatingPoint sort from three bit-vector expressions. More... | |
Z3_ast Z3_API | Z3_mk_fpa_numeral_float (Z3_context c, float v, Z3_sort ty) |
Create a numeral of FloatingPoint sort from a float. More... | |
Z3_ast Z3_API | Z3_mk_fpa_numeral_double (Z3_context c, double v, Z3_sort ty) |
Create a numeral of FloatingPoint sort from a double. More... | |
Z3_ast Z3_API | Z3_mk_fpa_numeral_int (Z3_context c, signed v, Z3_sort ty) |
Create a numeral of FloatingPoint sort from a signed integer. More... | |
Z3_ast Z3_API | Z3_mk_fpa_numeral_int_uint (Z3_context c, Z3_bool sgn, signed exp, unsigned sig, Z3_sort ty) |
Create a numeral of FloatingPoint sort from a sign bit and two integers. More... | |
Z3_ast Z3_API | Z3_mk_fpa_numeral_int64_uint64 (Z3_context c, Z3_bool sgn, __int64 exp, __uint64 sig, Z3_sort ty) |
Create a numeral of FloatingPoint sort from a sign bit and two 64-bit integers. More... | |
Z3_ast Z3_API | Z3_mk_fpa_abs (Z3_context c, Z3_ast t) |
Floating-point absolute value. More... | |
Z3_ast Z3_API | Z3_mk_fpa_neg (Z3_context c, Z3_ast t) |
Floating-point negation. More... | |
Z3_ast Z3_API | Z3_mk_fpa_add (Z3_context c, Z3_ast rm, Z3_ast t1, Z3_ast t2) |
Floating-point addition. More... | |
Z3_ast Z3_API | Z3_mk_fpa_sub (Z3_context c, Z3_ast rm, Z3_ast t1, Z3_ast t2) |
Floating-point subtraction. More... | |
Z3_ast Z3_API | Z3_mk_fpa_mul (Z3_context c, Z3_ast rm, Z3_ast t1, Z3_ast t2) |
Floating-point multiplication. More... | |
Z3_ast Z3_API | Z3_mk_fpa_div (Z3_context c, Z3_ast rm, Z3_ast t1, Z3_ast t2) |
Floating-point division. More... | |
Z3_ast Z3_API | Z3_mk_fpa_fma (Z3_context c, Z3_ast rm, Z3_ast t1, Z3_ast t2, Z3_ast t3) |
Floating-point fused multiply-add. More... | |
Z3_ast Z3_API | Z3_mk_fpa_sqrt (Z3_context c, Z3_ast rm, Z3_ast t) |
Floating-point square root. More... | |
Z3_ast Z3_API | Z3_mk_fpa_rem (Z3_context c, Z3_ast t1, Z3_ast t2) |
Floating-point remainder. More... | |
Z3_ast Z3_API | Z3_mk_fpa_round_to_integral (Z3_context c, Z3_ast rm, Z3_ast t) |
Floating-point roundToIntegral. Rounds a floating-point number to the closest integer, again represented as a floating-point number. More... | |
Z3_ast Z3_API | Z3_mk_fpa_min (Z3_context c, Z3_ast t1, Z3_ast t2) |
Minimum of floating-point numbers. More... | |
Z3_ast Z3_API | Z3_mk_fpa_max (Z3_context c, Z3_ast t1, Z3_ast t2) |
Maximum of floating-point numbers. More... | |
Z3_ast Z3_API | Z3_mk_fpa_leq (Z3_context c, Z3_ast t1, Z3_ast t2) |
Floating-point less than or equal. More... | |
Z3_ast Z3_API | Z3_mk_fpa_lt (Z3_context c, Z3_ast t1, Z3_ast t2) |
Floating-point less than. More... | |
Z3_ast Z3_API | Z3_mk_fpa_geq (Z3_context c, Z3_ast t1, Z3_ast t2) |
Floating-point greater than or equal. More... | |
Z3_ast Z3_API | Z3_mk_fpa_gt (Z3_context c, Z3_ast t1, Z3_ast t2) |
Floating-point greater than. More... | |
Z3_ast Z3_API | Z3_mk_fpa_eq (Z3_context c, Z3_ast t1, Z3_ast t2) |
Floating-point equality. More... | |
Z3_ast Z3_API | Z3_mk_fpa_is_normal (Z3_context c, Z3_ast t) |
Predicate indicating whether t is a normal floating-point number. More... | |
Z3_ast Z3_API | Z3_mk_fpa_is_subnormal (Z3_context c, Z3_ast t) |
Predicate indicating whether t is a subnormal floating-point number. More... | |
Z3_ast Z3_API | Z3_mk_fpa_is_zero (Z3_context c, Z3_ast t) |
Predicate indicating whether t is a floating-point number with zero value, i.e., +zero or -zero. More... | |
Z3_ast Z3_API | Z3_mk_fpa_is_infinite (Z3_context c, Z3_ast t) |
Predicate indicating whether t is a floating-point number representing +oo or -oo. More... | |
Z3_ast Z3_API | Z3_mk_fpa_is_nan (Z3_context c, Z3_ast t) |
Predicate indicating whether t is a NaN. More... | |
Z3_ast Z3_API | Z3_mk_fpa_is_negative (Z3_context c, Z3_ast t) |
Predicate indicating whether t is a negative floating-point number. More... | |
Z3_ast Z3_API | Z3_mk_fpa_is_positive (Z3_context c, Z3_ast t) |
Predicate indicating whether t is a positive floating-point number. More... | |
Z3_ast Z3_API | Z3_mk_fpa_to_fp_bv (Z3_context c, Z3_ast bv, Z3_sort s) |
Conversion of a single IEEE 754-2008 bit-vector into a floating-point number. More... | |
Z3_ast Z3_API | Z3_mk_fpa_to_fp_float (Z3_context c, Z3_ast rm, Z3_ast t, Z3_sort s) |
Conversion of a FloatingPoint term into another term of different FloatingPoint sort. More... | |
Z3_ast Z3_API | Z3_mk_fpa_to_fp_real (Z3_context c, Z3_ast rm, Z3_ast t, Z3_sort s) |
Conversion of a term of real sort into a term of FloatingPoint sort. More... | |
Z3_ast Z3_API | Z3_mk_fpa_to_fp_signed (Z3_context c, Z3_ast rm, Z3_ast t, Z3_sort s) |
Conversion of a 2's complement signed bit-vector term into a term of FloatingPoint sort. More... | |
Z3_ast Z3_API | Z3_mk_fpa_to_fp_unsigned (Z3_context c, Z3_ast rm, Z3_ast t, Z3_sort s) |
Conversion of a 2's complement unsigned bit-vector term into a term of FloatingPoint sort. More... | |
Z3_ast Z3_API | Z3_mk_fpa_to_ubv (Z3_context c, Z3_ast rm, Z3_ast t, unsigned sz) |
Conversion of a floating-point term into an unsigned bit-vector. More... | |
Z3_ast Z3_API | Z3_mk_fpa_to_sbv (Z3_context c, Z3_ast rm, Z3_ast t, unsigned sz) |
Conversion of a floating-point term into a signed bit-vector. More... | |
Z3_ast Z3_API | Z3_mk_fpa_to_real (Z3_context c, Z3_ast t) |
Conversion of a floating-point term into a real-numbered term. More... | |
Z3-specific floating-point extensions | |
unsigned Z3_API | Z3_fpa_get_ebits (Z3_context c, Z3_sort s) |
Retrieves the number of bits reserved for the exponent in a FloatingPoint sort. More... | |
unsigned Z3_API | Z3_fpa_get_sbits (Z3_context c, Z3_sort s) |
Retrieves the number of bits reserved for the significand in a FloatingPoint sort. More... | |
Z3_bool Z3_API | Z3_fpa_get_numeral_sign (Z3_context c, Z3_ast t, int *sgn) |
Retrieves the sign of a floating-point literal. More... | |
Z3_string Z3_API | Z3_fpa_get_numeral_significand_string (Z3_context c, Z3_ast t) |
Return the significand value of a floating-point numeral as a string. More... | |
Z3_bool Z3_API | Z3_fpa_get_numeral_significand_uint64 (Z3_context c, Z3_ast t, __uint64 *n) |
Return the significand value of a floating-point numeral as a uint64. More... | |
Z3_string Z3_API | Z3_fpa_get_numeral_exponent_string (Z3_context c, Z3_ast t) |
Return the exponent value of a floating-point numeral as a string. More... | |
Z3_bool Z3_API | Z3_fpa_get_numeral_exponent_int64 (Z3_context c, Z3_ast t, __int64 *n) |
Return the exponent value of a floating-point numeral as a signed 64-bit integer. More... | |
Z3_ast Z3_API | Z3_mk_fpa_to_ieee_bv (Z3_context c, Z3_ast t) |
Conversion of a floating-point term into a bit-vector term in IEEE 754-2008 format. More... | |
Z3_ast Z3_API | Z3_mk_fpa_to_fp_int_real (Z3_context c, Z3_ast rm, Z3_ast exp, Z3_ast sig, Z3_sort s) |
Conversion of a real-sorted significand and an integer-sorted exponent into a term of FloatingPoint sort. More... | |
Interpolation API | |
Z3_ast Z3_API | Z3_mk_interpolant (Z3_context c, Z3_ast a) |
Create an AST node marking a formula position for interpolation. More... | |
Z3_context Z3_API | Z3_mk_interpolation_context (Z3_config cfg) |
This function generates a Z3 context suitable for generation of interpolants. Formulas can be generated as abstract syntax trees in this context using the Z3 C API. More... | |
Z3_ast_vector Z3_API | Z3_get_interpolant (Z3_context c, Z3_ast pf, Z3_ast pat, Z3_params p) |
Z3_lbool Z3_API | Z3_compute_interpolant (Z3_context c, Z3_ast pat, Z3_params p, Z3_ast_vector *interp, Z3_model *model) |
Z3_string Z3_API | Z3_interpolation_profile (Z3_context ctx) |
int Z3_API | Z3_read_interpolation_problem (Z3_context ctx, unsigned *num, Z3_ast *cnsts[], unsigned *parents[], Z3_string filename, Z3_string_ptr error, unsigned *num_theory, Z3_ast *theory[]) |
Read an interpolation problem from file. More... | |
int Z3_API | Z3_check_interpolant (Z3_context ctx, unsigned num, Z3_ast cnsts[], unsigned parents[], Z3_ast *interps, Z3_string_ptr error, unsigned num_theory, Z3_ast theory[]) |
void Z3_API | Z3_write_interpolation_problem (Z3_context ctx, unsigned num, Z3_ast cnsts[], unsigned parents[], Z3_string filename, unsigned num_theory, Z3_ast theory[]) |
Polynomials API | |
Z3_ast_vector Z3_API | Z3_polynomial_subresultants (Z3_context c, Z3_ast p, Z3_ast q, Z3_ast x) |
Return the nonzero subresultants of p and q with respect to the "variable" x . More... | |
Real Closed Fields API | |
void Z3_API | Z3_rcf_del (Z3_context c, Z3_rcf_num a) |
Delete a RCF numeral created using the RCF API. More... | |
Z3_rcf_num Z3_API | Z3_rcf_mk_rational (Z3_context c, Z3_string val) |
Return a RCF rational using the given string. More... | |
Z3_rcf_num Z3_API | Z3_rcf_mk_small_int (Z3_context c, int val) |
Return a RCF small integer. More... | |
Z3_rcf_num Z3_API | Z3_rcf_mk_pi (Z3_context c) |
Return Pi. More... | |
Z3_rcf_num Z3_API | Z3_rcf_mk_e (Z3_context c) |
Return e (Euler's constant) More... | |
Z3_rcf_num Z3_API | Z3_rcf_mk_infinitesimal (Z3_context c) |
Return a new infinitesimal that is smaller than all elements in the Z3 field. More... | |
unsigned Z3_API | Z3_rcf_mk_roots (Z3_context c, unsigned n, Z3_rcf_num const a[], Z3_rcf_num roots[]) |
Store in roots the roots of the polynomial a[n-1]*x^{n-1} + ... + a[0] . The output vector roots must have size n . It returns the number of roots of the polynomial. More... | |
Z3_rcf_num Z3_API | Z3_rcf_add (Z3_context c, Z3_rcf_num a, Z3_rcf_num b) |
Return the value a + b. More... | |
Z3_rcf_num Z3_API | Z3_rcf_sub (Z3_context c, Z3_rcf_num a, Z3_rcf_num b) |
Return the value a - b. More... | |
Z3_rcf_num Z3_API | Z3_rcf_mul (Z3_context c, Z3_rcf_num a, Z3_rcf_num b) |
Return the value a * b. More... | |
Z3_rcf_num Z3_API | Z3_rcf_div (Z3_context c, Z3_rcf_num a, Z3_rcf_num b) |
Return the value a / b. More... | |
Z3_rcf_num Z3_API | Z3_rcf_neg (Z3_context c, Z3_rcf_num a) |
Return the value -a. More... | |
Z3_rcf_num Z3_API | Z3_rcf_inv (Z3_context c, Z3_rcf_num a) |
Return the value 1/a. More... | |
Z3_rcf_num Z3_API | Z3_rcf_power (Z3_context c, Z3_rcf_num a, unsigned k) |
Return the value a^k. More... | |
Z3_bool Z3_API | Z3_rcf_lt (Z3_context c, Z3_rcf_num a, Z3_rcf_num b) |
Return Z3_TRUE if a < b. More... | |
Z3_bool Z3_API | Z3_rcf_gt (Z3_context c, Z3_rcf_num a, Z3_rcf_num b) |
Return Z3_TRUE if a > b. More... | |
Z3_bool Z3_API | Z3_rcf_le (Z3_context c, Z3_rcf_num a, Z3_rcf_num b) |
Return Z3_TRUE if a <= b. More... | |
Z3_bool Z3_API | Z3_rcf_ge (Z3_context c, Z3_rcf_num a, Z3_rcf_num b) |
Return Z3_TRUE if a >= b. More... | |
Z3_bool Z3_API | Z3_rcf_eq (Z3_context c, Z3_rcf_num a, Z3_rcf_num b) |
Return Z3_TRUE if a == b. More... | |
Z3_bool Z3_API | Z3_rcf_neq (Z3_context c, Z3_rcf_num a, Z3_rcf_num b) |
Return Z3_TRUE if a != b. More... | |
Z3_string Z3_API | Z3_rcf_num_to_string (Z3_context c, Z3_rcf_num a, Z3_bool compact, Z3_bool html) |
Convert the RCF numeral into a string. More... | |
Z3_string Z3_API | Z3_rcf_num_to_decimal_string (Z3_context c, Z3_rcf_num a, unsigned prec) |
Convert the RCF numeral into a string in decimal notation. More... | |
void Z3_API | Z3_rcf_get_numerator_denominator (Z3_context c, Z3_rcf_num a, Z3_rcf_num *n, Z3_rcf_num *d) |
Extract the "numerator" and "denominator" of the given RCF numeral. We have that a = n/d, moreover n and d are not represented using rational functions. More... | |
#define Z3_FALSE 0 |
False value. It is just an alias for 0
.
Definition at line 135 of file z3_api.h.
Referenced by model::eval().
typedef int Z3_bool |
typedef void Z3_error_handler(Z3_context c, Z3_error_code e) |
Z3 custom error handler (See Z3_set_error_handler).
Definitions for update_api.py
def_Type('CONFIG', 'Z3_config', 'Config') def_Type('CONTEXT', 'Z3_context', 'ContextObj') def_Type('AST', 'Z3_ast', 'Ast') def_Type('APP', 'Z3_app', 'Ast') def_Type('SORT', 'Z3_sort', 'Sort') def_Type('FUNC_DECL', 'Z3_func_decl', 'FuncDecl') def_Type('PATTERN', 'Z3_pattern', 'Pattern') def_Type('MODEL', 'Z3_model', 'Model') def_Type('LITERALS', 'Z3_literals', 'Literals') def_Type('CONSTRUCTOR', 'Z3_constructor', 'Constructor') def_Type('CONSTRUCTOR_LIST', 'Z3_constructor_list', 'ConstructorList') def_Type('THEORY', 'Z3_theory', 'ctypes.c_void_p') def_Type('THEORY_DATA', 'Z3_theory_data', 'ctypes.c_void_p') def_Type('SOLVER', 'Z3_solver', 'SolverObj') def_Type('GOAL', 'Z3_goal', 'GoalObj') def_Type('TACTIC', 'Z3_tactic', 'TacticObj') def_Type('PARAMS', 'Z3_params', 'Params') def_Type('PROBE', 'Z3_probe', 'ProbeObj') def_Type('STATS', 'Z3_stats', 'StatsObj') def_Type('AST_VECTOR', 'Z3_ast_vector', 'AstVectorObj') def_Type('AST_MAP', 'Z3_ast_map', 'AstMapObj') def_Type('APPLY_RESULT', 'Z3_apply_result', 'ApplyResultObj') def_Type('FUNC_INTERP', 'Z3_func_interp', 'FuncInterpObj') def_Type('FUNC_ENTRY', 'Z3_func_entry', 'FuncEntryObj') def_Type('FIXEDPOINT', 'Z3_fixedpoint', 'FixedpointObj') def_Type('OPTIMIZE', 'Z3_optimize', 'OptimizeObj') def_Type('PARAM_DESCRS', 'Z3_param_descrs', 'ParamDescrs') def_Type('RCF_NUM', 'Z3_rcf_num', 'RCFNumObj')
typedef void Z3_fixedpoint_reduce_app_callback_fptr(void *, Z3_func_decl, unsigned, Z3_ast const [], Z3_ast *) |
typedef void Z3_fixedpoint_reduce_assign_callback_fptr(void *, Z3_func_decl, unsigned, Z3_ast const [], unsigned, Z3_ast const []) |
typedef Z3_bool Z3_reduce_app_callback_fptr(Z3_theory, Z3_func_decl, unsigned, Z3_ast const [], Z3_ast *) |
typedef Z3_bool Z3_reduce_distinct_callback_fptr(Z3_theory, unsigned, Z3_ast const [], Z3_ast *) |
typedef Z3_bool Z3_reduce_eq_callback_fptr(Z3_theory t, Z3_ast a, Z3_ast b, Z3_ast *r) |
typedef const char* Z3_string |
typedef Z3_string* Z3_string_ptr |
typedef void Z3_theory_ast_ast_callback_fptr(Z3_theory, Z3_ast, Z3_ast) |
typedef void Z3_theory_ast_bool_callback_fptr(Z3_theory, Z3_ast, Z3_bool) |
typedef void Z3_theory_ast_callback_fptr(Z3_theory, Z3_ast) |
typedef Z3_bool Z3_theory_final_check_callback_fptr(Z3_theory) |
enum Z3_ast_kind |
The different kinds of Z3 AST (abstract syntax trees). That is, terms, formulas and types.
Enumerator | |
---|---|
Z3_NUMERAL_AST | |
Z3_APP_AST | |
Z3_VAR_AST | |
Z3_QUANTIFIER_AST | |
Z3_SORT_AST | |
Z3_FUNC_DECL_AST | |
Z3_UNKNOWN_AST |
Definition at line 222 of file z3_api.h.
enum Z3_ast_print_mode |
Z3 pretty printing modes (See Z3_set_ast_print_mode).
Enumerator | |
---|---|
Z3_PRINT_SMTLIB_FULL | |
Z3_PRINT_LOW_LEVEL | |
Z3_PRINT_SMTLIB_COMPLIANT | |
Z3_PRINT_SMTLIB2_COMPLIANT |
Definition at line 1284 of file z3_api.h.
enum Z3_decl_kind |
The different kinds of interpreted function kinds.
Z3_OP_PR_MODUS_PONENS: Given a proof for p and a proof for (implies p q), produces a proof for q.
T1: p T2: (implies p q)
The second antecedents may also be a proof for (iff p q).
T1: (R t s) [symmetry T1]: (R s t)
T1: (R t s) T2: (R s u) [trans T1 T2]: (R t u)
Example: <div class="fragment"><pre class="fragment"> T1: (R a b) T2: (R c b) T3: (R c d) [trans* T1 T2 T3]: (R a d) </pre></div> R must be a symmetric and transitive relation. Assuming that this proof object is a proof for (R s t), then a proof checker must check if it is possible to prove (R s t) using the antecedents, symmetry and transitivity. That is, if there is a path from s to t, if we view every antecedent (R a b) as an edge between a and b.
Z3_OP_PR_MONOTONICITY: Monotonicity proof object.
T1: (R t_1 s_1) ... Tn: (R t_n s_n)
Remark: if t_i == s_i, then the antecedent Ti is suppressed. That is, reflexivity proofs are supressed to save space.
Z3_OP_PR_QUANT_INTRO: Given a proof for (~ p q), produces a proof for (~ (forall (x) p) (forall (x) q)).
T1: (~ p q)
Z3_OP_PR_DISTRIBUTIVITY: Distributivity proof object. Given that f (= or) distributes over g (= and), produces a proof for
(= (f a (g c d)) (g (f a c) (f a d)))
If f and g are associative, this proof also justifies the following equality:
(= (f (g a b) (g c d)) (g (f a c) (f a d) (f b c) (f b d)))
where each f and g can have arbitrary number of arguments.
This proof object has no antecedents. Remark. This rule is used by the CNF conversion pass and instantiated by f = or, and g = and.
Z3_OP_PR_AND_ELIM: Given a proof for (and l_1 ... l_n), produces a proof for l_i
T1: (and l_1 ... l_n)
Z3_OP_PR_NOT_OR_ELIM: Given a proof for (not (or l_1 ... l_n)), produces a proof for (not l_i).
T1: (not (or l_1 ... l_n)) [not-or-elim T1]: (not l_i)
Z3_OP_PR_REWRITE: A proof for a local rewriting step (= t s). The head function symbol of t is interpreted.
This proof object has no antecedents. The conclusion of a rewrite rule is either an equality (= t s), an equivalence (iff t s), or equi-satisfiability (~ t s). Remark: if f is bool, then = is iff.
Examples: <div class="fragment"><pre class="fragment"> (= (+ x 0) x) (= (+ x 1 2) (+ 3 x)) (iff (or x false) x) </pre></div>
Z3_OP_PR_PUSH_QUANT: A proof for:
(iff (forall (x_1 ... x_m) (and p_1[x_1 ... x_m] ... p_n[x_1 ... x_m])) (and (forall (x_1 ... x_m) p_1[x_1 ... x_m]) ... (forall (x_1 ... x_m) p_n[x_1 ... x_m])))
This proof object has no antecedents.
Z3_OP_PR_ELIM_UNUSED_VARS: A proof for (iff (forall (x_1 ... x_n y_1 ... y_m) p[x_1 ... x_n]) (forall (x_1 ... x_n) p[x_1 ... x_n]))
It is used to justify the elimination of unused variables. This proof object has no antecedents.
Z3_OP_PR_DER: A proof for destructive equality resolution: (iff (forall (x) (or (not (= x t)) P[x])) P[t]) if x does not occur in t.
This proof object has no antecedents.
Several variables can be eliminated simultaneously.
Z3_OP_PR_LEMMA:
T1: false
This proof object has one antecedent: a hypothetical proof for false. It converts the proof in a proof for (or (not l_1) ... (not l_n)), when T1 contains the open hypotheses: l_1, ..., l_n. The hypotheses are closed after an application of a lemma. Furthermore, there are no other open hypotheses in the subtree covered by the lemma.
T1: (or l_1 ... l_n l_1' ... l_m') T2: (not l_1) ... T(n+1): (not l_n) [unit-resolution T1 ... T(n+1)]: (or l_1' ... l_m')
T1: p [iff-true T1]: (iff p true)
T1: (not p) [iff-false T1]: (iff p false)
[comm]: (= (f a b) (f b a)) f is a commutative operator. This proof object has no antecedents. Remark: if f is bool, then = is iff.
<div class="fragment"><pre class="fragment"> (or (not (and p q)) p) (or (not (and p q)) q) (or (not (and p q r)) p) (or (not (and p q r)) q) (or (not (and p q r)) r) ... (or (and p q) (not p) (not q)) (or (not (or p q)) p q) (or (or p q) (not p)) (or (or p q) (not q)) (or (not (iff p q)) (not p) q) (or (not (iff p q)) p (not q)) (or (iff p q) (not p) (not q)) (or (iff p q) p q) (or (not (ite a b c)) (not a) b) (or (not (ite a b c)) a c) (or (ite a b c) (not a) (not b)) (or (ite a b c) a (not c)) (or (not (not a)) (not a)) (or (not a) a) </pre></div> This proof object has no antecedents. Note: all axioms are propositional tautologies. Note also that 'and' and 'or' can take multiple arguments. You can recover the propositional tautologies by unfolding the Boolean connectives in the axioms a small bounded number of steps (=3).
Z3_OP_PR_DEF_INTRO: Introduces a name for a formula/term. Suppose e is an expression with free variables x, and def-intro introduces the name n(x). The possible cases are:
When e is of Boolean type:
or:
when e only occurs positively.
When e is of the form (ite cond th el):
Otherwise: [def-intro]: (= n e)
Z3_OP_PR_NNF_POS: Proof for a (positive) NNF step. Example:
T1: (not s_1) ~ r_1 T2: (not s_2) ~ r_2 T3: s_1 ~ r_1' T4: s_2 ~ r_2'
(and (or r_1 r_2') (or r_1' r_2)))
The negation normal form steps NNF_POS and NNF_NEG are used in the following cases: (a) When creating the NNF of a positive force quantifier. The quantifier is retained (unless the bound variables are eliminated). Example
T1: q ~ q_new
(b) When recursively creating NNF over Boolean formulas, where the top-level connective is changed during NNF conversion. The relevant Boolean connectives for NNF_POS are 'implies', 'iff', 'xor', 'ite'. NNF_NEG furthermore handles the case where negation is pushed over Boolean connectives 'and' and 'or'.
Z3_OP_PR_NNF_NEG: Proof for a (negative) NNF step. Examples:
T1: (not s_1) ~ r_1 ... Tn: (not s_n) ~ r_n
and T1: (not s_1) ~ r_1 ... Tn: (not s_n) ~ r_n
and T1: (not s_1) ~ r_1 T2: (not s_2) ~ r_2 T3: s_1 ~ r_1' T4: s_2 ~ r_2'
(and (or r_1 r_2) (or r_1' r_2')))
Z3_OP_PR_NNF_STAR: A proof for (~ P Q) where Q is in negation normal form.
This proof object is only used if the parameter PROOF_MODE is 1.
This proof object may have n antecedents. Each antecedent is a PR_DEF_INTRO.
<div class="fragment"><pre class="fragment"> [sk]: (~ (not (forall x (p x y))) (not (p (sk y) y))) [sk]: (~ (exists x (p x y)) (p (sk y) y)) </pre></div> This proof object has no antecedents.
Z3_OP_PR_MODUS_PONENS_OEQ: Modus ponens style rule for equi-satisfiability.
T1: p T2: (~ p q)
Z3_OP_PR_TH_LEMMA: Generic proof for theory lemmas.
The theory lemma function comes with one or more parameters. The first parameter indicates the name of the theory. For the theory of arithmetic, additional parameters provide hints for checking the theory lemma. The hints for arithmetic are:
(iff (= t1 t2) (and (<= t1 t2) (<= t2 t1)))
Z3_OP_PR_HYPER_RESOLVE: Hyper-resolution rule.
The premises of the rules is a sequence of clauses. The first clause argument is the main clause of the rule. with a literal from the first (main) clause.
Premises of the rules are of the form
(or l0 l1 l2 .. ln)
or
(=> (and l1 l2 .. ln) l0)
or in the most general (ground) form:
(=> (and ln+1 ln+2 .. ln+m) (or l0 l1 .. ln))
In other words we use the following (Prolog style) convention for Horn implications: The head of a Horn implication is position 0, the first conjunct in the body of an implication is position 1 the second conjunct in the body of an implication is position 2
For general implications where the head is a disjunction, the first n positions correspond to the n disjuncts in the head. The next m positions correspond to the m conjuncts in the body.
The premises can be universally quantified so that the most general non-ground form is:
(forall (vars) (=> (and ln+1 ln+2 .. ln+m) (or l0 l1 .. ln)))
The hyper-resolution rule takes a sequence of parameters. The parameters are substitutions of bound variables separated by pairs of literal positions from the main clause and side clause.
n+1
arguments, where the first argument is the relation and the remaining n
elements correspond to the n
columns of the relation.Z3_OP_RA_NEGATION_FILTER: Intersect the first relation with respect to negation of the second relation (the function takes two arguments). Logically, the specification can be described by a function
target = filter_by_negation(pos, neg, columns)
where columns are pairs c1, d1, .., cN, dN of columns from pos and neg, such that target are elements in x in pos, such that there is no y in neg that agrees with x on the columns c1, d1, .., cN, dN.
n+1
arguments, where the first argument is a relation, and the remaining n
arguments correspond to a record.Definition at line 988 of file z3_api.h.
enum Z3_error_code |
Z3 error codes (See Z3_get_error_code).
Definition at line 1311 of file z3_api.h.
enum Z3_goal_prec |
A Goal is essentially a set of formulas. Z3 provide APIs for building strategies/tactics for solving and transforming Goals. Some of these transformations apply under/over approximations.
Enumerator | |
---|---|
Z3_GOAL_PRECISE | |
Z3_GOAL_UNDER | |
Z3_GOAL_OVER | |
Z3_GOAL_UNDER_OVER |
Definition at line 1385 of file z3_api.h.
enum Z3_lbool |
Lifted Boolean type: false
, undefined
, true
.
Enumerator | |
---|---|
Z3_L_FALSE | |
Z3_L_UNDEF | |
Z3_L_TRUE |
enum Z3_param_kind |
The different kinds of parameters that can be associated with parameter sets. (see Z3_mk_params).
Enumerator | |
---|---|
Z3_PK_UINT | |
Z3_PK_BOOL | |
Z3_PK_DOUBLE | |
Z3_PK_SYMBOL | |
Z3_PK_STRING | |
Z3_PK_OTHER | |
Z3_PK_INVALID |
Definition at line 1239 of file z3_api.h.
enum Z3_parameter_kind |
The different kinds of parameters that can be associated with function symbols.
Enumerator | |
---|---|
Z3_PARAMETER_INT | |
Z3_PARAMETER_DOUBLE | |
Z3_PARAMETER_RATIONAL | |
Z3_PARAMETER_SYMBOL | |
Z3_PARAMETER_SORT | |
Z3_PARAMETER_AST | |
Z3_PARAMETER_FUNC_DECL |
Definition at line 179 of file z3_api.h.
enum Z3_search_failure |
The different kinds of search failure types.
Enumerator | |
---|---|
Z3_NO_FAILURE | |
Z3_UNKNOWN | |
Z3_TIMEOUT | |
Z3_MEMOUT_WATERMARK | |
Z3_CANCELED | |
Z3_NUM_CONFLICTS | |
Z3_THEORY | |
Z3_QUANTIFIERS |
Definition at line 1263 of file z3_api.h.
enum Z3_sort_kind |
The different kinds of Z3 types (See Z3_get_sort_kind).
Definition at line 194 of file z3_api.h.
enum Z3_symbol_kind |
The different kinds of symbol. In Z3, a symbol can be represented using integers and strings (See Z3_get_symbol_kind).
Enumerator | |
---|---|
Z3_INT_SYMBOL | |
Z3_STRING_SYMBOL |
Definition at line 158 of file z3_api.h.
Z3_ast Z3_API Z3_algebraic_add | ( | Z3_context | c, |
Z3_ast | a, | ||
Z3_ast | b | ||
) |
Return the value a + b.
Z3_ast Z3_API Z3_algebraic_div | ( | Z3_context | c, |
Z3_ast | a, | ||
Z3_ast | b | ||
) |
Return the value a / b.
Z3_bool Z3_API Z3_algebraic_eq | ( | Z3_context | c, |
Z3_ast | a, | ||
Z3_ast | b | ||
) |
Return Z3_TRUE if a == b, and Z3_FALSE otherwise.
int Z3_API Z3_algebraic_eval | ( | Z3_context | c, |
Z3_ast | p, | ||
unsigned | n, | ||
Z3_ast | a[] | ||
) |
Given a multivariate polynomial p(x_0, ..., x_{n-1}), return the sign of p(a[0], ..., a[n-1]).
Z3_bool Z3_API Z3_algebraic_ge | ( | Z3_context | c, |
Z3_ast | a, | ||
Z3_ast | b | ||
) |
Return Z3_TRUE if a >= b, and Z3_FALSE otherwise.
Z3_bool Z3_API Z3_algebraic_gt | ( | Z3_context | c, |
Z3_ast | a, | ||
Z3_ast | b | ||
) |
Return Z3_TRUE if a > b, and Z3_FALSE otherwise.
Z3_bool Z3_API Z3_algebraic_is_neg | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Return the Z3_TRUE if a
is negative, and Z3_FALSE otherwise.
Z3_bool Z3_API Z3_algebraic_is_pos | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Return the Z3_TRUE if a
is positive, and Z3_FALSE otherwise.
Z3_bool Z3_API Z3_algebraic_is_value | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Return Z3_TRUE if can
be used as value in the Z3 real algebraic number package.
Z3_bool Z3_API Z3_algebraic_is_zero | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Return the Z3_TRUE if a
is zero, and Z3_FALSE otherwise.
Z3_bool Z3_API Z3_algebraic_le | ( | Z3_context | c, |
Z3_ast | a, | ||
Z3_ast | b | ||
) |
Return Z3_TRUE if a <= b, and Z3_FALSE otherwise.
Z3_bool Z3_API Z3_algebraic_lt | ( | Z3_context | c, |
Z3_ast | a, | ||
Z3_ast | b | ||
) |
Return Z3_TRUE if a < b, and Z3_FALSE otherwise.
Z3_ast Z3_API Z3_algebraic_mul | ( | Z3_context | c, |
Z3_ast | a, | ||
Z3_ast | b | ||
) |
Return the value a * b.
Z3_bool Z3_API Z3_algebraic_neq | ( | Z3_context | c, |
Z3_ast | a, | ||
Z3_ast | b | ||
) |
Return Z3_TRUE if a != b, and Z3_FALSE otherwise.
Z3_ast Z3_API Z3_algebraic_power | ( | Z3_context | c, |
Z3_ast | a, | ||
unsigned | k | ||
) |
Return the a^k.
Z3_ast Z3_API Z3_algebraic_root | ( | Z3_context | c, |
Z3_ast | a, | ||
unsigned | k | ||
) |
Return the a^(1/k)
Z3_ast_vector Z3_API Z3_algebraic_roots | ( | Z3_context | c, |
Z3_ast | p, | ||
unsigned | n, | ||
Z3_ast | a[] | ||
) |
Given a multivariate polynomial p(x_0, ..., x_{n-1}, x_n), returns the roots of the univariate polynomial p(a[0], ..., a[n-1], x_n).
int Z3_API Z3_algebraic_sign | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Return 1 if a
is positive, 0 if a
is zero, and -1 if a
is negative.
Z3_ast Z3_API Z3_algebraic_sub | ( | Z3_context | c, |
Z3_ast | a, | ||
Z3_ast | b | ||
) |
Return the value a - b.
Z3_ast Z3_API Z3_app_to_ast | ( | Z3_context | c, |
Z3_app | a | ||
) |
Convert a Z3_app
into Z3_ast
. This is just type casting.
void Z3_API Z3_append_log | ( | Z3_string | string | ) |
Append user-defined string to interaction log.
The interaction log is opened using Z3_open_log. It contains the formulas that are checked using Z3. You can use this command to append comments, for instance.
Referenced by z3py::append_log().
Z3_model Z3_API Z3_apply_result_convert_model | ( | Z3_context | c, |
Z3_apply_result | r, | ||
unsigned | i, | ||
Z3_model | m | ||
) |
Convert a model for the subgoal Z3_apply_result_get_subgoal(c, r, i)
into a model for the original goal g
. Where g
is the goal used to create r
using Z3_tactic_apply(c, t, g)
.
Referenced by apply_result::convert_model(), and ApplyResult::convert_model().
void Z3_API Z3_apply_result_dec_ref | ( | Z3_context | c, |
Z3_apply_result | r | ||
) |
Decrement the reference counter of the given Z3_apply_result
object.
Referenced by ApplyResult::__del__(), apply_result::operator=(), and apply_result::~apply_result().
unsigned Z3_API Z3_apply_result_get_num_subgoals | ( | Z3_context | c, |
Z3_apply_result | r | ||
) |
Return the number of subgoals in the Z3_apply_result
object returned by Z3_tactic_apply.
Referenced by ApplyResult::__len__(), and apply_result::size().
Z3_goal Z3_API Z3_apply_result_get_subgoal | ( | Z3_context | c, |
Z3_apply_result | r, | ||
unsigned | i | ||
) |
Return one of the subgoals in the Z3_apply_result
object returned by Z3_tactic_apply.
Referenced by ApplyResult::__getitem__(), and apply_result::operator[]().
void Z3_API Z3_apply_result_inc_ref | ( | Z3_context | c, |
Z3_apply_result | r | ||
) |
Increment the reference counter of the given Z3_apply_result
object.
Referenced by apply_result::operator=().
Z3_string Z3_API Z3_apply_result_to_string | ( | Z3_context | c, |
Z3_apply_result | r | ||
) |
Convert the Z3_apply_result
object returned by Z3_tactic_apply into a string.
Referenced by ApplyResult::sexpr().
void Z3_API Z3_assert_cnstr | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Assert a constraint into the logical context.
After one assertion, the logical context may become inconsistent.
The functions Z3_check or Z3_check_and_get_model should be used to check whether the logical context is consistent or not.
Z3_bool Z3_API Z3_ast_map_contains | ( | Z3_context | c, |
Z3_ast_map | m, | ||
Z3_ast | k | ||
) |
Return true if the map m
contains the AST key k
.
void Z3_API Z3_ast_map_dec_ref | ( | Z3_context | c, |
Z3_ast_map | m | ||
) |
Decrement the reference counter of the given AST map.
void Z3_API Z3_ast_map_erase | ( | Z3_context | c, |
Z3_ast_map | m, | ||
Z3_ast | k | ||
) |
Erase a key from the map.
Z3_ast Z3_API Z3_ast_map_find | ( | Z3_context | c, |
Z3_ast_map | m, | ||
Z3_ast | k | ||
) |
Return the value associated with the key k
.
The procedure invokes the error handler if k
is not in the map.
void Z3_API Z3_ast_map_inc_ref | ( | Z3_context | c, |
Z3_ast_map | m | ||
) |
Increment the reference counter of the given AST map.
void Z3_API Z3_ast_map_insert | ( | Z3_context | c, |
Z3_ast_map | m, | ||
Z3_ast | k, | ||
Z3_ast | v | ||
) |
Store/Replace a new key, value pair in the given map.
Z3_ast_vector Z3_API Z3_ast_map_keys | ( | Z3_context | c, |
Z3_ast_map | m | ||
) |
Return the keys stored in the given map.
void Z3_API Z3_ast_map_reset | ( | Z3_context | c, |
Z3_ast_map | m | ||
) |
Remove all keys from the given map.
unsigned Z3_API Z3_ast_map_size | ( | Z3_context | c, |
Z3_ast_map | m | ||
) |
Return the size of the given map.
Z3_string Z3_API Z3_ast_map_to_string | ( | Z3_context | c, |
Z3_ast_map | m | ||
) |
Convert the given map into a string.
Z3_string Z3_API Z3_ast_to_string | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Convert the given AST node into a string.
Z3_ast_to_string
. Referenced by AstRef::sexpr().
void Z3_API Z3_ast_vector_dec_ref | ( | Z3_context | c, |
Z3_ast_vector | v | ||
) |
Decrement the reference counter of the given AST vector.
Referenced by ast_vector_tpl< T >::operator=(), and ast_vector_tpl< T >::~ast_vector_tpl().
Z3_ast Z3_API Z3_ast_vector_get | ( | Z3_context | c, |
Z3_ast_vector | v, | ||
unsigned | i | ||
) |
Return the AST at position i
in the AST vector v
.
Referenced by ast_vector_tpl< T >::operator[]().
void Z3_API Z3_ast_vector_inc_ref | ( | Z3_context | c, |
Z3_ast_vector | v | ||
) |
Increment the reference counter of the given AST vector.
Referenced by ast_vector_tpl< T >::ast_vector_tpl(), cast_ast< func_decl >::operator()(), and ast_vector_tpl< T >::operator=().
void Z3_API Z3_ast_vector_push | ( | Z3_context | c, |
Z3_ast_vector | v, | ||
Z3_ast | a | ||
) |
Add the AST a
in the end of the AST vector v
. The size of v
is increased by one.
Referenced by ast_vector_tpl< T >::push_back().
void Z3_API Z3_ast_vector_resize | ( | Z3_context | c, |
Z3_ast_vector | v, | ||
unsigned | n | ||
) |
Resize the AST vector v
.
Referenced by ast_vector_tpl< T >::resize().
void Z3_API Z3_ast_vector_set | ( | Z3_context | c, |
Z3_ast_vector | v, | ||
unsigned | i, | ||
Z3_ast | a | ||
) |
Update position i
of the AST vector v
with the AST a
.
unsigned Z3_API Z3_ast_vector_size | ( | Z3_context | c, |
Z3_ast_vector | v | ||
) |
Return the size of the given AST vector.
Referenced by ast_vector_tpl< T >::size().
Z3_string Z3_API Z3_ast_vector_to_string | ( | Z3_context | c, |
Z3_ast_vector | v | ||
) |
Convert AST vector into a string.
Z3_ast_vector Z3_API Z3_ast_vector_translate | ( | Z3_context | s, |
Z3_ast_vector | v, | ||
Z3_context | t | ||
) |
Translate the AST vector v
from context s
into an AST vector in context t
.
Z3_string Z3_API Z3_benchmark_to_smtlib_string | ( | Z3_context | c, |
Z3_string | name, | ||
Z3_string | logic, | ||
Z3_string | status, | ||
Z3_string | attributes, | ||
unsigned | num_assumptions, | ||
Z3_ast const | assumptions[], | ||
Z3_ast | formula | ||
) |
Convert the given benchmark into SMT-LIB formatted string.
Z3_benchmark_to_smtlib_string
.c | - context. |
name | - name of benchmark. The argument is optional. |
logic | - the benchmark logic. |
status | - the status string (sat, unsat, or unknown) |
attributes | - other attributes, such as source, difficulty or category. |
num_assumptions | - number of assumptions. |
assumptions | - auxiliary assumptions. |
formula | - formula to be checked for consistency in conjunction with assumptions. |
Referenced by solver::to_smt2(), and Solver::to_smt2().
void Z3_API Z3_block_literals | ( | Z3_context | c, |
Z3_literals | lbls | ||
) |
Block subsequent checks using the remaining enabled labels.
Z3_lbool Z3_API Z3_check | ( | Z3_context | c | ) |
Check whether the given logical context is consistent or not.
The function Z3_check_and_get_model should be used when models are needed.
Z3_lbool Z3_API Z3_check_and_get_model | ( | Z3_context | c, |
Z3_model * | m | ||
) |
Check whether the given logical context is consistent or not.
If the logical context is not unsatisfiable (i.e., the return value is different from Z3_L_FALSE
) and model construction is enabled (see Z3_mk_config), then a model is stored in m
. Otherwise, the value NULL
is stored in m
. The caller is responsible for deleting the model using the function Z3_del_model.
Z3_lbool Z3_API Z3_check_assumptions | ( | Z3_context | c, |
unsigned | num_assumptions, | ||
Z3_ast const | assumptions[], | ||
Z3_model * | m, | ||
Z3_ast * | proof, | ||
unsigned * | core_size, | ||
Z3_ast | core[] | ||
) |
Check whether the given logical context and optional assumptions is consistent or not.
If the logical context is not unsatisfiable (i.e., the return value is different from Z3_L_FALSE
), a non-NULL model argument is passed in, and model construction is enabled (see Z3_mk_config), then a model is stored in m
. Otherwise, m
is left unchanged. The caller is responsible for deleting the model using the function Z3_del_model.
c | logical context. |
num_assumptions | number of auxiliary assumptions. |
assumptions | array of auxiliary assumptions |
m | optional pointer to a model. |
proof | optional pointer to a proof term. |
core_size | size of unsatisfiable core. |
core | pointer to an array receiving unsatisfiable core. The unsatisfiable core is a subset of the assumptions, so the array has the same size as the assumptions. The core array is not populated if core_size is set to 0. |
int Z3_API Z3_check_interpolant | ( | Z3_context | ctx, |
unsigned | num, | ||
Z3_ast | cnsts[], | ||
unsigned | parents[], | ||
Z3_ast * | interps, | ||
Z3_string_ptr | error, | ||
unsigned | num_theory, | ||
Z3_ast | theory[] | ||
) |
Check the correctness of an interpolant. The Z3 context must have no constraints asserted when this call is made. That means that after interpolating, you must first fully pop the Z3 context before calling this. See Z3_interpolate for meaning of parameters.
ctx | The Z3 context. Must be generated by Z3_mk_interpolation_context |
num | The number of constraints in the sequence |
cnsts | Array of constraints (AST's in context ctx) |
parents | The parents vector (or NULL for sequence) |
interps | The interpolant to check |
error | Returns an error message if interpolant incorrect (do not free the string) |
num_theory | Number of theory terms |
theory | Theory terms |
Return value is Z3_L_TRUE if interpolant is verified, Z3_L_FALSE if incorrect, and Z3_L_UNDEF if unknown.
void Z3_API Z3_close_log | ( | void | ) |
Close interaction log.
Z3_lbool Z3_API Z3_compute_interpolant | ( | Z3_context | c, |
Z3_ast | pat, | ||
Z3_params | p, | ||
Z3_ast_vector * | interp, | ||
Z3_model * | model | ||
) |
Z3_string Z3_API Z3_context_to_string | ( | Z3_context | c | ) |
Convert the given logical context into a string.
This function is mainly used for debugging purposes. It displays the internal structure of a logical context.
Z3_context_to_string
.Z3_ast Z3_API Z3_datatype_update_field | ( | Z3_context | c, |
Z3_func_decl | field_access, | ||
Z3_ast | t, | ||
Z3_ast | value | ||
) |
Update record field with a value.
This corresponds to the 'with' construct in OCaml. It has the effect of updating a record field with a given value. The remaining fields are left unchanged. It is the record equivalent of an array store (see
void Z3_API Z3_dec_ref | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Decrement the reference counter of the given AST. The context c
should have been created using Z3_mk_context_rc. This function is a NOOP if c
was created using Z3_mk_context.
Referenced by AstRef::__del__(), ast::operator=(), and ast::~ast().
void Z3_API Z3_del_config | ( | Z3_config | c | ) |
void Z3_API Z3_del_constructor | ( | Z3_context | c, |
Z3_constructor | constr | ||
) |
Reclaim memory allocated to constructor.
c | logical context. |
constr | constructor. |
void Z3_API Z3_del_constructor_list | ( | Z3_context | c, |
Z3_constructor_list | clist | ||
) |
Reclaim memory allocated for constructor list.
Each constructor inside the constructor list must be independently reclaimed using Z3_del_constructor.
c | logical context. |
clist | constructor list container. |
void Z3_API Z3_del_context | ( | Z3_context | c | ) |
void Z3_API Z3_del_literals | ( | Z3_context | c, |
Z3_literals | lbls | ||
) |
Delete a labels context.
void Z3_API Z3_del_model | ( | Z3_context | c, |
Z3_model | m | ||
) |
Delete a model object.
void Z3_API Z3_disable_literal | ( | Z3_context | c, |
Z3_literals | lbls, | ||
unsigned | idx | ||
) |
Disable label.
The disabled label is not going to be used when blocking the subsequent search.
void Z3_API Z3_disable_trace | ( | Z3_string | tag | ) |
Disable tracing messages tagged as tag
when Z3 is compiled in debug mode. It is a NOOP otherwise.
Referenced by z3py::disable_trace().
void Z3_API Z3_enable_trace | ( | Z3_string | tag | ) |
Enable tracing messages tagged as tag
when Z3 is compiled in debug mode. It is a NOOP otherwise.
Referenced by z3py::enable_trace().
Z3_bool Z3_API Z3_eval | ( | Z3_context | c, |
Z3_model | m, | ||
Z3_ast | t, | ||
Z3_ast * | v | ||
) |
Evaluate the AST node t
in the given model. Return Z3_TRUE
if succeeded, and store the result in v
.The evaluation may fail for the following reasons:
t
contains a quantifier.m
is partial, that is, it doesn't have a complete interpretation for uninterpreted functions. That is, the option MODEL_PARTIAL=true
was used.t
is type incorrect.Z3_bool Z3_API Z3_eval_decl | ( | Z3_context | c, |
Z3_model | m, | ||
Z3_func_decl | d, | ||
unsigned | num_args, | ||
Z3_ast const | args[], | ||
Z3_ast * | v | ||
) |
Evaluate declaration given values.
Provides direct way to evaluate declarations without going over terms.
Z3_bool Z3_API Z3_eval_func_decl | ( | Z3_context | c, |
Z3_model | m, | ||
Z3_func_decl | decl, | ||
Z3_ast * | v | ||
) |
Return the value of the given constant or function in the given model.
void Z3_API Z3_finalize_memory | ( | void | ) |
Destroy all allocated resources.
Any pointers previously returned by the API become invalid. Can be used for memory leak detection.
void Z3_API Z3_fixedpoint_add_cover | ( | Z3_context | c, |
Z3_fixedpoint | d, | ||
int | level, | ||
Z3_func_decl | pred, | ||
Z3_ast | property | ||
) |
Add property about the predicate pred
. Add a property of predicate pred
at level
. It gets pushed forward when possible.
Note: level = -1 is treated as the fixedpoint. So passing -1 for the level
means that the property is true of the fixed-point unfolding with respect to pred
.
Note: this functionality is PDR specific.
Referenced by Fixedpoint::add_cover().
void Z3_API Z3_fixedpoint_add_fact | ( | Z3_context | c, |
Z3_fixedpoint | d, | ||
Z3_func_decl | r, | ||
unsigned | num_args, | ||
unsigned | args[] | ||
) |
Add a Database fact.
c | - context |
d | - fixed point context |
r | - relation signature for the row. |
num_args | - number of columns for the given row. |
args | - array of the row elements. |
The number of arguments num_args
should be equal to the number of sorts in the domain of r
. Each sort in the domain should be an integral (bit-vector, Boolean or or finite domain sort).
The call has the same effect as adding a rule where r
is applied to the arguments.
void Z3_API Z3_fixedpoint_add_rule | ( | Z3_context | c, |
Z3_fixedpoint | d, | ||
Z3_ast | rule, | ||
Z3_symbol | name | ||
) |
Add a universal Horn clause as a named rule. The horn_rule
should be of the form:
Referenced by Fixedpoint::add_rule().
void Z3_API Z3_fixedpoint_assert | ( | Z3_context | c, |
Z3_fixedpoint | d, | ||
Z3_ast | axiom | ||
) |
Assert a constraint to the fixedpoint context.
The constraints are used as background axioms when the fixedpoint engine uses the PDR mode. They are ignored for standard Datalog mode.
Referenced by Fixedpoint::assert_exprs().
void Z3_API Z3_fixedpoint_dec_ref | ( | Z3_context | c, |
Z3_fixedpoint | d | ||
) |
Decrement the reference counter of the given fixedpoint context.
Referenced by Fixedpoint::__del__().
Z3_ast_vector Z3_API Z3_fixedpoint_from_file | ( | Z3_context | c, |
Z3_fixedpoint | f, | ||
Z3_string | s | ||
) |
Parse an SMT-LIB2 file with fixedpoint rules. Add the rules to the current fixedpoint context. Return the set of queries in the file.
c | - context. |
f | - fixedpoint context. |
s | - string containing SMT2 specification. |
Referenced by Fixedpoint::parse_file().
Z3_ast_vector Z3_API Z3_fixedpoint_from_string | ( | Z3_context | c, |
Z3_fixedpoint | f, | ||
Z3_string | s | ||
) |
Parse an SMT-LIB2 string with fixedpoint rules. Add the rules to the current fixedpoint context. Return the set of queries in the string.
c | - context. |
f | - fixedpoint context. |
s | - string containing SMT2 specification. |
Referenced by Fixedpoint::parse_string().
Z3_ast Z3_API Z3_fixedpoint_get_answer | ( | Z3_context | c, |
Z3_fixedpoint | d | ||
) |
Retrieve a formula that encodes satisfying answers to the query.
When used in Datalog mode, the returned answer is a disjunction of conjuncts. Each conjunct encodes values of the bound variables of the query that are satisfied. In PDR mode, the returned answer is a single conjunction.
When used in Datalog mode the previous call to Z3_fixedpoint_query must have returned Z3_L_TRUE. When used with the PDR engine, the previous call must have been either Z3_L_TRUE or Z3_L_FALSE.
Referenced by Fixedpoint::get_answer().
Z3_ast_vector Z3_API Z3_fixedpoint_get_assertions | ( | Z3_context | c, |
Z3_fixedpoint | f | ||
) |
Retrieve set of background assertions from fixedpoint context.
Referenced by Fixedpoint::get_assertions().
Z3_ast Z3_API Z3_fixedpoint_get_cover_delta | ( | Z3_context | c, |
Z3_fixedpoint | d, | ||
int | level, | ||
Z3_func_decl | pred | ||
) |
Retrieve the current cover of pred
up to level
unfoldings. Return just the delta that is known at level
. To obtain the full set of properties of pred
one should query at level+1
, level+2
etc, and include level=-1
.
Note: this functionality is PDR specific.
Referenced by Fixedpoint::get_cover_delta().
Z3_string Z3_API Z3_fixedpoint_get_help | ( | Z3_context | c, |
Z3_fixedpoint | f | ||
) |
Return a string describing all fixedpoint available parameters.
Referenced by Fixedpoint::help().
unsigned Z3_API Z3_fixedpoint_get_num_levels | ( | Z3_context | c, |
Z3_fixedpoint | d, | ||
Z3_func_decl | pred | ||
) |
Query the PDR engine for the maximal levels properties are known about predicate.
This call retrieves the maximal number of relevant unfoldings of pred
with respect to the current exploration state. Note: this functionality is PDR specific.
Referenced by Fixedpoint::get_num_levels().
Z3_param_descrs Z3_API Z3_fixedpoint_get_param_descrs | ( | Z3_context | c, |
Z3_fixedpoint | f | ||
) |
Return the parameter description set for the given fixedpoint object.
Referenced by Fixedpoint::param_descrs().
Z3_string Z3_API Z3_fixedpoint_get_reason_unknown | ( | Z3_context | c, |
Z3_fixedpoint | d | ||
) |
Retrieve a string that describes the last status returned by Z3_fixedpoint_query.
Use this method when Z3_fixedpoint_query returns Z3_L_UNDEF.
Referenced by Fixedpoint::reason_unknown().
Z3_ast_vector Z3_API Z3_fixedpoint_get_rules | ( | Z3_context | c, |
Z3_fixedpoint | f | ||
) |
Retrieve set of rules from fixedpoint context.
Referenced by Fixedpoint::get_rules().
Z3_stats Z3_API Z3_fixedpoint_get_statistics | ( | Z3_context | c, |
Z3_fixedpoint | d | ||
) |
Retrieve statistics information from the last call to Z3_fixedpoint_query.
Referenced by Fixedpoint::statistics().
void Z3_API Z3_fixedpoint_inc_ref | ( | Z3_context | c, |
Z3_fixedpoint | d | ||
) |
Increment the reference counter of the given fixedpoint context.
void Z3_API Z3_fixedpoint_init | ( | Z3_context | c, |
Z3_fixedpoint | d, | ||
void * | state | ||
) |
Initialize the context with a user-defined state.
void Z3_API Z3_fixedpoint_pop | ( | Z3_context | c, |
Z3_fixedpoint | d | ||
) |
Backtrack one backtracking point.
Referenced by Fixedpoint::pop().
void Z3_API Z3_fixedpoint_push | ( | Z3_context | c, |
Z3_fixedpoint | d | ||
) |
Create a backtracking point.
The fixedpoint solver contains a set of rules, added facts and assertions. The set of rules, facts and assertions are restored upon calling Z3_fixedpoint_pop.
Referenced by Fixedpoint::push().
Z3_lbool Z3_API Z3_fixedpoint_query | ( | Z3_context | c, |
Z3_fixedpoint | d, | ||
Z3_ast | query | ||
) |
Pose a query against the asserted rules.
query returns
Referenced by Fixedpoint::query().
Z3_lbool Z3_API Z3_fixedpoint_query_relations | ( | Z3_context | c, |
Z3_fixedpoint | d, | ||
unsigned | num_relations, | ||
Z3_func_decl const | relations[] | ||
) |
Pose multiple queries against the asserted rules.
The queries are encoded as relations (function declarations).
query returns
Referenced by Fixedpoint::query().
void Z3_API Z3_fixedpoint_register_relation | ( | Z3_context | c, |
Z3_fixedpoint | d, | ||
Z3_func_decl | f | ||
) |
Register relation as Fixedpoint defined. Fixedpoint defined relations have least-fixedpoint semantics. For example, the relation is empty if it does not occur in a head or a fact.
Referenced by Fixedpoint::register_relation().
void Z3_API Z3_fixedpoint_set_params | ( | Z3_context | c, |
Z3_fixedpoint | f, | ||
Z3_params | p | ||
) |
Set parameters on fixedpoint context.
Referenced by Fixedpoint::set().
void Z3_API Z3_fixedpoint_set_predicate_representation | ( | Z3_context | c, |
Z3_fixedpoint | d, | ||
Z3_func_decl | f, | ||
unsigned | num_relations, | ||
Z3_symbol const | relation_kinds[] | ||
) |
Configure the predicate representation.
It sets the predicate to use a set of domains given by the list of symbols. The domains given by the list of symbols must belong to a set of built-in domains.
Referenced by Fixedpoint::set_predicate_representation().
void Z3_API Z3_fixedpoint_set_reduce_app_callback | ( | Z3_context | c, |
Z3_fixedpoint | d, | ||
Z3_fixedpoint_reduce_app_callback_fptr | cb | ||
) |
Register a callback for buildling terms based on the relational operators.
void Z3_API Z3_fixedpoint_set_reduce_assign_callback | ( | Z3_context | c, |
Z3_fixedpoint | d, | ||
Z3_fixedpoint_reduce_assign_callback_fptr | cb | ||
) |
Register a callback to destructive updates.
Registers are identified with terms encoded as fresh constants,
Z3_string Z3_API Z3_fixedpoint_to_string | ( | Z3_context | c, |
Z3_fixedpoint | f, | ||
unsigned | num_queries, | ||
Z3_ast | queries[] | ||
) |
Print the current rules and background axioms as a string.
c | - context. |
f | - fixedpoint context. |
num_queries | - number of additional queries to print. |
queries | - additional queries. |
Referenced by Fixedpoint::sexpr(), and Fixedpoint::to_string().
void Z3_API Z3_fixedpoint_update_rule | ( | Z3_context | c, |
Z3_fixedpoint | d, | ||
Z3_ast | a, | ||
Z3_symbol | name | ||
) |
Update a named rule. A rule with the same name must have been previously created.
Referenced by Fixedpoint::update_rule().
unsigned Z3_API Z3_fpa_get_ebits | ( | Z3_context | c, |
Z3_sort | s | ||
) |
Retrieves the number of bits reserved for the exponent in a FloatingPoint sort.
c | logical context |
s | FloatingPoint sort |
Return the exponent value of a floating-point numeral as a signed 64-bit integer.
c | logical context |
t | a floating-point numeral |
n | exponent |
Z3_string Z3_API Z3_fpa_get_numeral_exponent_string | ( | Z3_context | c, |
Z3_ast | t | ||
) |
Return the exponent value of a floating-point numeral as a string.
c | logical context |
t | a floating-point numeral |
Z3_bool Z3_API Z3_fpa_get_numeral_sign | ( | Z3_context | c, |
Z3_ast | t, | ||
int * | sgn | ||
) |
Retrieves the sign of a floating-point literal.
c | logical context |
t | a floating-point numeral |
sgn | sign |
Remarks: sets sgn
to 0 if the literal is NaN or positive and to 1 otherwise.
Z3_string Z3_API Z3_fpa_get_numeral_significand_string | ( | Z3_context | c, |
Z3_ast | t | ||
) |
Return the significand value of a floating-point numeral as a string.
c | logical context |
t | a floating-point numeral |
Remarks: The significand s is always 0 < s < 2.0; the resulting string is long enough to represent the real significand precisely.
Return the significand value of a floating-point numeral as a uint64.
c | logical context |
t | a floating-point numeral |
Remarks: This function extracts the significand bits in t
, without the hidden bit or normalization. Sets the Z3_INVALID_ARG error code if the significand does not fit into a uint64.
unsigned Z3_API Z3_fpa_get_sbits | ( | Z3_context | c, |
Z3_sort | s | ||
) |
Retrieves the number of bits reserved for the significand in a FloatingPoint sort.
c | logical context |
s | FloatingPoint sort |
Z3_ast Z3_API Z3_func_decl_to_ast | ( | Z3_context | c, |
Z3_func_decl | f | ||
) |
Convert a Z3_func_decl
into Z3_ast
. This is just type casting.
Referenced by FuncDeclRef::as_ast().
Z3_string Z3_API Z3_func_decl_to_string | ( | Z3_context | c, |
Z3_func_decl | d | ||
) |
void Z3_API Z3_func_entry_dec_ref | ( | Z3_context | c, |
Z3_func_entry | e | ||
) |
Decrement the reference counter of the given Z3_func_entry object.
Referenced by func_entry::operator=(), and func_entry::~func_entry().
Z3_ast Z3_API Z3_func_entry_get_arg | ( | Z3_context | c, |
Z3_func_entry | e, | ||
unsigned | i | ||
) |
Return an argument of a Z3_func_entry object.
Referenced by func_entry::arg().
unsigned Z3_API Z3_func_entry_get_num_args | ( | Z3_context | c, |
Z3_func_entry | e | ||
) |
Return the number of arguments in a Z3_func_entry object.
Referenced by func_entry::num_args().
Z3_ast Z3_API Z3_func_entry_get_value | ( | Z3_context | c, |
Z3_func_entry | e | ||
) |
Return the value of this point.
A Z3_func_entry object represents an element in the finite map used to encode a function interpretation.
Referenced by func_entry::value().
void Z3_API Z3_func_entry_inc_ref | ( | Z3_context | c, |
Z3_func_entry | e | ||
) |
Increment the reference counter of the given Z3_func_entry object.
Referenced by func_entry::operator=().
void Z3_API Z3_func_interp_dec_ref | ( | Z3_context | c, |
Z3_func_interp | f | ||
) |
Decrement the reference counter of the given Z3_func_interp object.
Referenced by func_interp::operator=(), and func_interp::~func_interp().
unsigned Z3_API Z3_func_interp_get_arity | ( | Z3_context | c, |
Z3_func_interp | f | ||
) |
Return the arity (number of arguments) of the given function interpretation.
Z3_ast Z3_API Z3_func_interp_get_else | ( | Z3_context | c, |
Z3_func_interp | f | ||
) |
Return the 'else' value of the given function interpretation.
A function interpretation is represented as a finite map and an 'else' value. This procedure returns the 'else' value.
Referenced by func_interp::else_value().
Z3_func_entry Z3_API Z3_func_interp_get_entry | ( | Z3_context | c, |
Z3_func_interp | f, | ||
unsigned | i | ||
) |
Return a "point" of the given function intepretation. It represents the value of f
in a particular point.
Referenced by func_interp::entry().
unsigned Z3_API Z3_func_interp_get_num_entries | ( | Z3_context | c, |
Z3_func_interp | f | ||
) |
Return the number of entries in the given function interpretation.
A function interpretation is represented as a finite map and an 'else' value. Each entry in the finite map represents the value of a function given a set of arguments. This procedure return the number of element in the finite map of f
.
Referenced by func_interp::num_entries().
void Z3_API Z3_func_interp_inc_ref | ( | Z3_context | c, |
Z3_func_interp | f | ||
) |
Increment the reference counter of the given Z3_func_interp object.
Referenced by func_interp::operator=().
Z3_ast Z3_API Z3_get_algebraic_number_lower | ( | Z3_context | c, |
Z3_ast | a, | ||
unsigned | precision | ||
) |
Return a lower bound for the given real algebraic number. The interval isolating the number is smaller than 1/10^precision. The result is a numeral AST of sort Real.
Z3_ast Z3_API Z3_get_algebraic_number_upper | ( | Z3_context | c, |
Z3_ast | a, | ||
unsigned | precision | ||
) |
Return a upper bound for the given real algebraic number. The interval isolating the number is smaller than 1/10^precision. The result is a numeral AST of sort Real.
Z3_ast Z3_API Z3_get_app_arg | ( | Z3_context | c, |
Z3_app | a, | ||
unsigned | i | ||
) |
Return the i-th argument of the given application.
Referenced by expr::arg(), and ExprRef::arg().
Z3_func_decl Z3_API Z3_get_app_decl | ( | Z3_context | c, |
Z3_app | a | ||
) |
Return the declaration of a constant or function application.
Referenced by expr::decl(), and ExprRef::decl().
unsigned Z3_API Z3_get_app_num_args | ( | Z3_context | c, |
Z3_app | a | ||
) |
Return the number of argument of an application. If t
is an constant, then the number of arguments is 0.
Referenced by expr::num_args(), and ExprRef::num_args().
unsigned Z3_API Z3_get_arity | ( | Z3_context | c, |
Z3_func_decl | d | ||
) |
Alias for Z3_get_domain_size
.
Referenced by func_decl::arity(), and FuncDeclRef::arity().
Z3_sort Z3_API Z3_get_array_sort_domain | ( | Z3_context | c, |
Z3_sort | t | ||
) |
Return the domain of the given array sort.
Referenced by sort::array_domain().
Z3_sort Z3_API Z3_get_array_sort_range | ( | Z3_context | c, |
Z3_sort | t | ||
) |
Return the range of the given array sort.
Referenced by sort::array_range().
void Z3_API Z3_get_array_value | ( | Z3_context | c, |
Z3_model | m, | ||
Z3_ast | v, | ||
unsigned | num_entries, | ||
Z3_ast | indices[], | ||
Z3_ast | values[], | ||
Z3_ast * | else_value | ||
) |
An array values is represented as a dictionary plus a default (else) value. This function returns the array graph.
Z3_func_decl Z3_API Z3_get_as_array_func_decl | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Return the function declaration f
associated with a (_ as_array f)
node.
unsigned Z3_API Z3_get_ast_hash | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Return a hash code for the given AST. The hash code is structural. You can use Z3_get_ast_id interchangably with this function.
Referenced by ast::hash(), and AstRef::hash().
unsigned Z3_API Z3_get_ast_id | ( | Z3_context | c, |
Z3_ast | t | ||
) |
Return a unique identifier for t
. The identifier is unique up to structural equality. Thus, two ast nodes created by the same context and having the same children and same function symbols have the same identifiers. Ast nodes created in the same context, but having different children or different functions have different identifiers. Variables and quantifiers are also assigned different identifiers according to their structure.
Referenced by AstRef::get_id(), SortRef::get_id(), FuncDeclRef::get_id(), and ExprRef::get_id().
Z3_ast_kind Z3_API Z3_get_ast_kind | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Return the kind of the given AST.
Referenced by ExprRef::children(), z3py::eq(), ast::kind(), cast_ast< expr >::operator()(), cast_ast< sort >::operator()(), cast_ast< func_decl >::operator()(), and z3::to_expr().
Z3_lbool Z3_API Z3_get_bool_value | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Return Z3_L_TRUE if a
is true, Z3_L_FALSE if it is false, and Z3_L_UNDEF otherwise.
unsigned Z3_API Z3_get_bv_sort_size | ( | Z3_context | c, |
Z3_sort | t | ||
) |
Return the size of the given bit-vector sort.
Referenced by sort::bv_size().
Z3_ast Z3_API Z3_get_context_assignment | ( | Z3_context | c | ) |
Extract satisfying assignment from context as a conjunction.
This function can be used for debugging purposes. It returns a conjunction of formulas that are assigned to true in the current context. This conjunction will contain not only the assertions that are set to true under the current assignment, but will also include additional literals if there has been a call to Z3_check or Z3_check_and_get_model.
Z3_func_decl Z3_API Z3_get_datatype_sort_constructor | ( | Z3_context | c, |
Z3_sort | t, | ||
unsigned | idx | ||
) |
Return idx'th constructor.
Z3_func_decl Z3_API Z3_get_datatype_sort_constructor_accessor | ( | Z3_context | c, |
Z3_sort | t, | ||
unsigned | idx_c, | ||
unsigned | idx_a | ||
) |
Return idx_a'th accessor for the idx_c'th constructor.
unsigned Z3_API Z3_get_datatype_sort_num_constructors | ( | Z3_context | c, |
Z3_sort | t | ||
) |
Return number of constructors for datatype.
Z3_func_decl Z3_API Z3_get_datatype_sort_recognizer | ( | Z3_context | c, |
Z3_sort | t, | ||
unsigned | idx | ||
) |
Return idx'th recognizer.
Z3_ast Z3_API Z3_get_decl_ast_parameter | ( | Z3_context | c, |
Z3_func_decl | d, | ||
unsigned | idx | ||
) |
Return the expresson value associated with an expression parameter.
double Z3_API Z3_get_decl_double_parameter | ( | Z3_context | c, |
Z3_func_decl | d, | ||
unsigned | idx | ||
) |
Return the double value associated with an double parameter.
Z3_func_decl Z3_API Z3_get_decl_func_decl_parameter | ( | Z3_context | c, |
Z3_func_decl | d, | ||
unsigned | idx | ||
) |
Return the expresson value associated with an expression parameter.
int Z3_API Z3_get_decl_int_parameter | ( | Z3_context | c, |
Z3_func_decl | d, | ||
unsigned | idx | ||
) |
Return the integer value associated with an integer parameter.
Referenced by expr::hi(), and expr::lo().
Z3_decl_kind Z3_API Z3_get_decl_kind | ( | Z3_context | c, |
Z3_func_decl | d | ||
) |
Return declaration kind corresponding to declaration.
Referenced by func_decl::decl_kind(), and FuncDeclRef::kind().
Z3_symbol Z3_API Z3_get_decl_name | ( | Z3_context | c, |
Z3_func_decl | d | ||
) |
Return the constant declaration name as a symbol.
Referenced by func_decl::name(), and FuncDeclRef::name().
unsigned Z3_API Z3_get_decl_num_parameters | ( | Z3_context | c, |
Z3_func_decl | d | ||
) |
Return the number of parameters associated with a declaration.
Referenced by expr::hi(), and expr::lo().
Z3_parameter_kind Z3_API Z3_get_decl_parameter_kind | ( | Z3_context | c, |
Z3_func_decl | d, | ||
unsigned | idx | ||
) |
Return the parameter type associated with a declaration.
c | the context |
d | the function declaration |
idx | is the index of the named parameter it should be between 0 and the number of parameters. |
Z3_string Z3_API Z3_get_decl_rational_parameter | ( | Z3_context | c, |
Z3_func_decl | d, | ||
unsigned | idx | ||
) |
Return the rational value, as a string, associated with a rational parameter.
Z3_sort Z3_API Z3_get_decl_sort_parameter | ( | Z3_context | c, |
Z3_func_decl | d, | ||
unsigned | idx | ||
) |
Return the sort value associated with a sort parameter.
Z3_symbol Z3_API Z3_get_decl_symbol_parameter | ( | Z3_context | c, |
Z3_func_decl | d, | ||
unsigned | idx | ||
) |
Return the double value associated with an double parameter.
Z3_ast Z3_API Z3_get_denominator | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Return the denominator (as a numeral AST) of a numeral AST of sort Real.
Z3_sort Z3_API Z3_get_domain | ( | Z3_context | c, |
Z3_func_decl | d, | ||
unsigned | i | ||
) |
Return the sort of the i-th parameter of the given function declaration.
Referenced by func_decl::domain(), and FuncDeclRef::domain().
unsigned Z3_API Z3_get_domain_size | ( | Z3_context | c, |
Z3_func_decl | d | ||
) |
Return the number of parameters of the given declaration.
Z3_error_code Z3_API Z3_get_error_code | ( | Z3_context | c | ) |
Return the error code for the last API call.
A call to a Z3 function may return a non Z3_OK error code, when it is not used correctly.
Referenced by context::check_error().
Z3_string Z3_API Z3_get_error_msg | ( | Z3_error_code | err | ) |
Return a string describing the given error code.
BEGIN_MLAPI_EXCLUDE Z3_string Z3_API Z3_get_error_msg_ex | ( | Z3_context | c, |
Z3_error_code | err | ||
) |
Return a string describing the given error code.
Referenced by context::check_error().
Store the size of the sort in r
. Return Z3_FALSE if the call failed. That is, Z3_get_sort_kind(s) == Z3_FINITE_DOMAIN_SORT.
Referenced by FiniteDomainSortRef::size().
unsigned Z3_API Z3_get_func_decl_id | ( | Z3_context | c, |
Z3_func_decl | f | ||
) |
Return a unique identifier for f
.
Z3_literals Z3_API Z3_get_guessed_literals | ( | Z3_context | c | ) |
Retrieve the set of literals that whose assignment were guess, but not propagated during the search.
Z3_lbool Z3_API Z3_get_implied_equalities | ( | Z3_context | c, |
Z3_solver | s, | ||
unsigned | num_terms, | ||
Z3_ast const | terms[], | ||
unsigned | class_ids[] | ||
) |
Retrieve congruence class representatives for terms.
The function can be used for relying on Z3 to identify equal terms under the current set of assumptions. The array of terms and array of class identifiers should have the same length. The class identifiers are numerals that are assigned to the same value for their corresponding terms if the current context forces the terms to be equal. You cannot deduce that terms corresponding to different numerals must be all different, (especially when using non-convex theories). All implied equalities are returned by this call. This means that two terms map to the same class identifier if and only if the current context implies that they are equal.
A side-effect of the function is a satisfiability check on the assertions on the solver that is passed in. The function return Z3_L_FALSE if the current assertions are not satisfiable.
unsigned Z3_API Z3_get_index_value | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Return index of de-Brujin bound variable.
Referenced by z3py::get_var_index().
Z3_ast_vector Z3_API Z3_get_interpolant | ( | Z3_context | c, |
Z3_ast | pf, | ||
Z3_ast | pat, | ||
Z3_params | p | ||
) |
Compute an interpolant from a refutation. This takes a proof of "false" from a set of formulas C, and an interpolation pattern. The pattern pat is a formula combining the formulas in C using logical conjunction and the "interp" operator (see Z3_mk_interpolant). This interp operator is logically the identity operator. It marks the sub-formulas of the pattern for which interpolants should be computed. The interpolant is a map sigma from marked subformulas to formulas, such that, for each marked subformula phi of pat (where phi sigma is phi with sigma(psi) substituted for each subformula psi of phi such that psi in dom(sigma)):
1) phi sigma implies sigma(phi), and
2) sigma(phi) is in the common uninterpreted vocabulary between the formulas of C occurring in phi and those not occurring in phi
and moreover pat sigma implies false. In the simplest case an interpolant for the pattern "(and (interp A) B)" maps A to an interpolant for A /\ B.
The return value is a vector of formulas representing sigma. The vector contains sigma(phi) for each marked subformula of pat, in pre-order traversal. This means that subformulas of phi occur before phi in the vector. Also, subformulas that occur multiply in pat will occur multiply in the result vector.
In particular, calling Z3_get_interpolant on a pattern of the form (interp ... (interp (and (interp A_1) A_2)) ... A_N) will result in a sequence interpolant for A_1, A_2,... A_N.
Neglecting interp markers, the pattern must be a conjunction of formulas in C, the set of premises of the proof. Otherwise an error is flagged.
Any premises of the proof not present in the pattern are treated as "background theory". Predicate and function symbols occurring in the background theory are treated as interpreted and thus always allowed in the interpolant.
Interpolant may not necessarily be computable from all proofs. To be sure an interpolant can be computed, the proof must be generated by an SMT solver for which interpoaltion is supported, and the premises must be expressed using only theories and operators for which interpolation is supported.
Currently, the only SMT solver that is supported is the legacy SMT solver. Such a solver is available as the default solver in #Z3_context objects produced by Z3_mk_interpolation_context. Currently, the theories supported are equality with uninterpreted functions, linear integer arithmetic, and the theory of arrays (in SMT-LIB terms, this is AUFLIA). Quantifiers are allowed. Use of any other operators (including "labels") may result in failure to compute an interpolant from a proof.
Parameters:
c | logical context. |
pf | a refutation from premises (assertions) C |
pat | an interpolation pattern over C |
p | parameters |
Z3_symbol Z3_API Z3_get_label_symbol | ( | Z3_context | c, |
Z3_literals | lbls, | ||
unsigned | idx | ||
) |
Retrieve label symbol at idx.
Z3_ast Z3_API Z3_get_literal | ( | Z3_context | c, |
Z3_literals | lbls, | ||
unsigned | idx | ||
) |
Retrieve literal expression at idx.
Z3_func_decl Z3_API Z3_get_model_constant | ( | Z3_context | c, |
Z3_model | m, | ||
unsigned | i | ||
) |
Return the i-th constant in the given model.
Z3_func_decl Z3_API Z3_get_model_func_decl | ( | Z3_context | c, |
Z3_model | m, | ||
unsigned | i | ||
) |
Return the declaration of the i-th function in the given model.
Z3_ast Z3_API Z3_get_model_func_else | ( | Z3_context | c, |
Z3_model | m, | ||
unsigned | i | ||
) |
Return the 'else' value of the i-th function interpretation in the given model.
A function interpretation is represented as a finite map and an 'else' value.
Z3_ast Z3_API Z3_get_model_func_entry_arg | ( | Z3_context | c, |
Z3_model | m, | ||
unsigned | i, | ||
unsigned | j, | ||
unsigned | k | ||
) |
Return the k-th argument of the j-th entry of the i-th function interpretation in the given model.
A function interpretation is represented as a finite map and an 'else' value. This function returns the j-th entry of this map.
An entry represents the value of a function given a set of arguments. That is: it has the following format f(args[0],...,args[num_args - 1]) = val
.
unsigned Z3_API Z3_get_model_func_entry_num_args | ( | Z3_context | c, |
Z3_model | m, | ||
unsigned | i, | ||
unsigned | j | ||
) |
Return the number of arguments of the j-th entry of the i-th function interpretation in the given model.
A function interpretation is represented as a finite map and an 'else' value. This function returns the j-th entry of this map.
An entry represents the value of a function given a set of arguments. That is: it has the following format f(args[0],...,args[num_args - 1]) = val
.
Z3_ast Z3_API Z3_get_model_func_entry_value | ( | Z3_context | c, |
Z3_model | m, | ||
unsigned | i, | ||
unsigned | j | ||
) |
Return the return value of the j-th entry of the i-th function interpretation in the given model.
A function interpretation is represented as a finite map and an 'else' value. This function returns the j-th entry of this map.
An entry represents the value of a function given a set of arguments. That is: it has the following format f(args[0],...,args[num_args - 1]) = val
.
unsigned Z3_API Z3_get_model_func_num_entries | ( | Z3_context | c, |
Z3_model | m, | ||
unsigned | i | ||
) |
Return the number of entries of the i-th function interpretation in the given model.
A function interpretation is represented as a finite map and an 'else' value.
unsigned Z3_API Z3_get_model_num_constants | ( | Z3_context | c, |
Z3_model | m | ||
) |
Return the number of constants assigned by the given model.
unsigned Z3_API Z3_get_model_num_funcs | ( | Z3_context | c, |
Z3_model | m | ||
) |
Return the number of function interpretations in the given model.
A function interpretation is represented as a finite map and an 'else' value. Each entry in the finite map represents the value of a function given a set of arguments.
unsigned Z3_API Z3_get_num_literals | ( | Z3_context | c, |
Z3_literals | lbls | ||
) |
Retrieve the number of label symbols that were returned.
unsigned Z3_API Z3_get_num_probes | ( | Z3_context | c | ) |
Return the number of builtin probes available in Z3.
Referenced by z3py::probes().
unsigned Z3_API Z3_get_num_scopes | ( | Z3_context | c | ) |
Retrieve the current scope level.
It retrieves the number of scopes that have been pushed, but not yet popped.
unsigned Z3_API Z3_get_num_tactics | ( | Z3_context | c | ) |
Return the number of builtin tactics available in Z3.
Referenced by z3py::tactics().
Z3_string Z3_API Z3_get_numeral_decimal_string | ( | Z3_context | c, |
Z3_ast | a, | ||
unsigned | precision | ||
) |
Return numeral as a string in decimal notation. The result has at most precision
decimal places.
Z3_bool Z3_API Z3_get_numeral_int | ( | Z3_context | c, |
Z3_ast | v, | ||
int * | i | ||
) |
Similar to Z3_get_numeral_string, but only succeeds if the value can fit in a machine int. Return Z3_TRUE if the call succeeded.
Similar to Z3_get_numeral_string, but only succeeds if the value can fit in a machine __int64 int. Return Z3_TRUE if the call succeeded.
Z3_bool Z3_API Z3_get_numeral_rational_int64 | ( | Z3_context | c, |
Z3_ast | v, | ||
__int64 * | num, | ||
__int64 * | den | ||
) |
Similar to Z3_get_numeral_string, but only succeeds if the value can fit as a rational number as machine __int64 int. Return Z3_TRUE if the call succeeded.
Return numeral value, as a pair of 64 bit numbers if the representation fits.
c | logical context. |
a | term. |
num | numerator. |
den | denominator. |
Return Z3_TRUE
if the numeral value fits in 64 bit numerals, Z3_FALSE
otherwise.
Z3_string Z3_API Z3_get_numeral_string | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Return numeral value, as a string of a numeric constant term.
Z3_bool Z3_API Z3_get_numeral_uint | ( | Z3_context | c, |
Z3_ast | v, | ||
unsigned * | u | ||
) |
Similar to Z3_get_numeral_string, but only succeeds if the value can fit in a machine unsigned int. Return Z3_TRUE if the call succeeded.
Similar to Z3_get_numeral_string, but only succeeds if the value can fit in a machine unsigned __int64 int. Return Z3_TRUE if the call succeeded.
Z3_ast Z3_API Z3_get_numerator | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Return the numerator (as a numeral AST) of a numeral AST of sort Real.
Z3_ast Z3_API Z3_get_pattern | ( | Z3_context | c, |
Z3_pattern | p, | ||
unsigned | idx | ||
) |
Return i'th ast in pattern.
unsigned Z3_API Z3_get_pattern_num_terms | ( | Z3_context | c, |
Z3_pattern | p | ||
) |
Return number of terms in pattern.
Z3_string Z3_API Z3_get_probe_name | ( | Z3_context | c, |
unsigned | i | ||
) |
Z3_ast Z3_API Z3_get_quantifier_body | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Return body of quantifier.
Referenced by expr::body().
Z3_symbol Z3_API Z3_get_quantifier_bound_name | ( | Z3_context | c, |
Z3_ast | a, | ||
unsigned | i | ||
) |
Return symbol of the i'th bound variable.
Z3_sort Z3_API Z3_get_quantifier_bound_sort | ( | Z3_context | c, |
Z3_ast | a, | ||
unsigned | i | ||
) |
Return sort of the i'th bound variable.
Z3_ast Z3_API Z3_get_quantifier_no_pattern_ast | ( | Z3_context | c, |
Z3_ast | a, | ||
unsigned | i | ||
) |
Return i'th no_pattern.
unsigned Z3_API Z3_get_quantifier_num_bound | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Return number of bound variables of quantifier.
unsigned Z3_API Z3_get_quantifier_num_no_patterns | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Return number of no_patterns used in quantifier.
unsigned Z3_API Z3_get_quantifier_num_patterns | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Return number of patterns used in quantifier.
Z3_pattern Z3_API Z3_get_quantifier_pattern_ast | ( | Z3_context | c, |
Z3_ast | a, | ||
unsigned | i | ||
) |
Return i'th pattern.
unsigned Z3_API Z3_get_quantifier_weight | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Obtain weight of quantifier.
Z3_sort Z3_API Z3_get_range | ( | Z3_context | c, |
Z3_func_decl | d | ||
) |
Return the range of the given declaration.
If d
is a constant (i.e., has zero arguments), then this function returns the sort of the constant.
Referenced by func_decl::range(), and FuncDeclRef::range().
unsigned Z3_API Z3_get_relation_arity | ( | Z3_context | c, |
Z3_sort | s | ||
) |
Return arity of relation.
Z3_sort Z3_API Z3_get_relation_column | ( | Z3_context | c, |
Z3_sort | s, | ||
unsigned | col | ||
) |
Return sort at i'th column of relation sort.
Z3_literals Z3_API Z3_get_relevant_labels | ( | Z3_context | c | ) |
Retrieve the set of labels that were relevant in the context of the current satisfied context.
Z3_literals Z3_API Z3_get_relevant_literals | ( | Z3_context | c | ) |
Retrieve the set of literals that satisfy the current context.
Z3_search_failure Z3_API Z3_get_search_failure | ( | Z3_context | c | ) |
Retrieve reason for search failure.
If a call to Z3_check or Z3_check_and_get_model returns Z3_L_UNDEF, use this facility to determine the more detailed cause of search failure.
Z3_ast Z3_API Z3_get_smtlib_assumption | ( | Z3_context | c, |
unsigned | i | ||
) |
Return the i-th assumption parsed by the last call to Z3_parse_smtlib_string or Z3_parse_smtlib_file.
Z3_func_decl Z3_API Z3_get_smtlib_decl | ( | Z3_context | c, |
unsigned | i | ||
) |
Return the i-th declaration parsed by the last call to Z3_parse_smtlib_string or Z3_parse_smtlib_file.
BEGIN_MLAPI_EXCLUDE Z3_string Z3_API Z3_get_smtlib_error | ( | Z3_context | c | ) |
Retrieve that last error message information generated from parsing.
Z3_ast Z3_API Z3_get_smtlib_formula | ( | Z3_context | c, |
unsigned | i | ||
) |
Return the i-th formula parsed by the last call to Z3_parse_smtlib_string or Z3_parse_smtlib_file.
unsigned Z3_API Z3_get_smtlib_num_assumptions | ( | Z3_context | c | ) |
Return the number of SMTLIB assumptions parsed by Z3_parse_smtlib_string or Z3_parse_smtlib_file.
unsigned Z3_API Z3_get_smtlib_num_decls | ( | Z3_context | c | ) |
Return the number of declarations parsed by Z3_parse_smtlib_string or Z3_parse_smtlib_file.
unsigned Z3_API Z3_get_smtlib_num_formulas | ( | Z3_context | c | ) |
Return the number of SMTLIB formulas parsed by the last call to Z3_parse_smtlib_string or Z3_parse_smtlib_file.
unsigned Z3_API Z3_get_smtlib_num_sorts | ( | Z3_context | c | ) |
Return the number of sorts parsed by Z3_parse_smtlib_string or Z3_parse_smtlib_file.
Z3_sort Z3_API Z3_get_smtlib_sort | ( | Z3_context | c, |
unsigned | i | ||
) |
Return the i-th sort parsed by the last call to Z3_parse_smtlib_string or Z3_parse_smtlib_file.
Z3_sort Z3_API Z3_get_sort | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Return the sort of an AST node.
The AST node must be a constant, application, numeral, bound variable, or quantifier.
Referenced by ExprRef::children(), expr::get_sort(), z3py::is_sort(), and BoolRef::sort().
unsigned Z3_API Z3_get_sort_id | ( | Z3_context | c, |
Z3_sort | s | ||
) |
Return a unique identifier for s
.
Z3_sort_kind Z3_API Z3_get_sort_kind | ( | Z3_context | c, |
Z3_sort | t | ||
) |
Return the sort kind (e.g., array, tuple, int, bool, etc).
Referenced by ExprRef::children(), z3py::eq(), and sort::sort_kind().
Z3_symbol Z3_API Z3_get_sort_name | ( | Z3_context | c, |
Z3_sort | d | ||
) |
Return the sort name as a symbol.
Referenced by SortRef::name().
int Z3_API Z3_get_symbol_int | ( | Z3_context | c, |
Z3_symbol | s | ||
) |
Return the symbol int value.
Referenced by symbol::to_int(), and z3py::to_symbol().
Z3_symbol_kind Z3_API Z3_get_symbol_kind | ( | Z3_context | c, |
Z3_symbol | s | ||
) |
Return Z3_INT_SYMBOL
if the symbol was constructed using Z3_mk_int_symbol, and Z3_STRING_SYMBOL
if the symbol was constructed using Z3_mk_string_symbol.
Referenced by symbol::kind(), and z3py::to_symbol().
Z3_string Z3_API Z3_get_symbol_string | ( | Z3_context | c, |
Z3_symbol | s | ||
) |
Return the symbol name.
Z3_get_symbol_string
.Referenced by symbol::str(), and z3py::to_symbol().
Z3_string Z3_API Z3_get_tactic_name | ( | Z3_context | c, |
unsigned | i | ||
) |
Return the name of the idx tactic.
Referenced by z3py::tactics().
Z3_func_decl Z3_API Z3_get_tuple_sort_field_decl | ( | Z3_context | c, |
Z3_sort | t, | ||
unsigned | i | ||
) |
Return the i-th field declaration (i.e., projection function declaration) of the given tuple sort.
Z3_func_decl Z3_API Z3_get_tuple_sort_mk_decl | ( | Z3_context | c, |
Z3_sort | t | ||
) |
Return the constructor declaration of the given tuple sort.
unsigned Z3_API Z3_get_tuple_sort_num_fields | ( | Z3_context | c, |
Z3_sort | t | ||
) |
Return the number of fields of the given tuple sort.
void Z3_API Z3_get_version | ( | unsigned * | major, |
unsigned * | minor, | ||
unsigned * | build_number, | ||
unsigned * | revision_number | ||
) |
Return Z3 version number information.
Referenced by z3py::get_version(), and z3py::get_version_string().
Z3_bool Z3_API Z3_global_param_get | ( | Z3_string | param_id, |
Z3_string_ptr | param_value | ||
) |
Get a global (or module) parameter.
Returns Z3_FALSE
if the parameter value does not exist.
Referenced by z3py::get_param().
void Z3_API Z3_global_param_reset_all | ( | void | ) |
Restore the value of all global (and module) parameters. This command will not affect already created objects (such as tactics and solvers).
Referenced by z3::reset_params(), and z3py::reset_params().
Set a global (or module) parameter. This setting is shared by all Z3 contexts.
When a Z3 module is initialized it will use the value of these parameters when Z3_params objects are not provided.
The name of parameter can be composed of characters [a-z][A-Z], digits [0-9], '-' and '_'. The character '.' is a delimiter (more later).
The parameter names are case-insensitive. The character '-' should be viewed as an "alias" for '_'. Thus, the following parameter names are considered equivalent: "pp.decimal-precision" and "PP.DECIMAL_PRECISION".
This function can be used to set parameters for a specific Z3 module. This can be done by using <module-name>.<parameter-name>. For example: Z3_global_param_set('pp.decimal', 'true') will set the parameter "decimal" in the module "pp" to true.
Referenced by z3::set_param(), and z3py::set_param().
void Z3_API Z3_goal_assert | ( | Z3_context | c, |
Z3_goal | g, | ||
Z3_ast | a | ||
) |
Add a new formula a
to the given goal.
Referenced by goal::add().
void Z3_API Z3_goal_dec_ref | ( | Z3_context | c, |
Z3_goal | g | ||
) |
Decrement the reference counter of the given goal.
Referenced by goal::operator=(), and goal::~goal().
unsigned Z3_API Z3_goal_depth | ( | Z3_context | c, |
Z3_goal | g | ||
) |
Return the depth of the given goal. It tracks how many transformations were applied to it.
Referenced by goal::depth().
Z3_ast Z3_API Z3_goal_formula | ( | Z3_context | c, |
Z3_goal | g, | ||
unsigned | idx | ||
) |
Return a formula from the given goal.
Referenced by goal::operator[]().
void Z3_API Z3_goal_inc_ref | ( | Z3_context | c, |
Z3_goal | g | ||
) |
Increment the reference counter of the given goal.
Referenced by goal::operator=().
Z3_bool Z3_API Z3_goal_inconsistent | ( | Z3_context | c, |
Z3_goal | g | ||
) |
Return true if the given goal contains the formula false
.
Referenced by goal::inconsistent().
Z3_bool Z3_API Z3_goal_is_decided_sat | ( | Z3_context | c, |
Z3_goal | g | ||
) |
Return true if the goal is empty, and it is precise or the product of a under approximation.
Referenced by goal::is_decided_sat().
Z3_bool Z3_API Z3_goal_is_decided_unsat | ( | Z3_context | c, |
Z3_goal | g | ||
) |
Return true if the goal contains false, and it is precise or the product of an over approximation.
Referenced by goal::is_decided_unsat().
unsigned Z3_API Z3_goal_num_exprs | ( | Z3_context | c, |
Z3_goal | g | ||
) |
Return the number of formulas, subformulas and terms in the given goal.
Referenced by goal::num_exprs().
Z3_goal_prec Z3_API Z3_goal_precision | ( | Z3_context | c, |
Z3_goal | g | ||
) |
Return the "precision" of the given goal. Goals can be transformed using over and under approximations. A under approximation is applied when the objective is to find a model for a given goal. An over approximation is applied when the objective is to find a proof for a given goal.
Referenced by goal::precision().
void Z3_API Z3_goal_reset | ( | Z3_context | c, |
Z3_goal | g | ||
) |
Erase all formulas from the given goal.
Referenced by goal::reset().
unsigned Z3_API Z3_goal_size | ( | Z3_context | c, |
Z3_goal | g | ||
) |
Return the number of formulas in the given goal.
Referenced by goal::size().
Z3_string Z3_API Z3_goal_to_string | ( | Z3_context | c, |
Z3_goal | g | ||
) |
Convert a goal into a string.
Z3_goal Z3_API Z3_goal_translate | ( | Z3_context | source, |
Z3_goal | g, | ||
Z3_context | target | ||
) |
Copy a goal g
from the context source
to a the context target
.
void Z3_API Z3_inc_ref | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Increment the reference counter of the given AST. The context c
should have been created using Z3_mk_context_rc. This function is a NOOP if c
was created using Z3_mk_context.
Referenced by ast::ast(), and ast::operator=().
Z3_string Z3_API Z3_interpolation_profile | ( | Z3_context | ctx | ) |
Return a string summarizing cumulative time used for interpolation. This string is purely for entertainment purposes and has no semantics.
ctx | The context (currently ignored) |
void Z3_API Z3_interrupt | ( | Z3_context | c | ) |
Interrupt the execution of a Z3 procedure. This procedure can be used to interrupt: solvers, simplifiers and tactics.
Referenced by context::interrupt(), and Context::interrupt().
Z3_bool Z3_API Z3_is_algebraic_number | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Return true if the give AST is a real algebraic number.
Z3_bool Z3_API Z3_is_app | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Z3_bool Z3_API Z3_is_array_value | ( | Z3_context | c, |
Z3_model | m, | ||
Z3_ast | v, | ||
unsigned * | num_entries | ||
) |
Determine whether the term encodes an array value. A term encodes an array value if it is a nested sequence of applications of store on top of a constant array. The indices to the stores have to be values (for example, integer constants) so that equality between the indices can be evaluated. Array values are useful for representing interpretations for arrays.
Return the number of entries mapping to non-default values of the array.
Z3_bool Z3_API Z3_is_as_array | ( | Z3_context | c, |
Z3_ast | a | ||
) |
The (_ as-array f)
AST node is a construct for assigning interpretations for arrays in Z3. It is the array such that forall indices i
we have that (select (_ as-array f) i)
is equal to (f i)
. This procedure returns Z3_TRUE if the a
is an as-array
AST node.
Z3 current solvers have minimal support for as_array
nodes.
Z3_bool Z3_API Z3_is_eq_ast | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
compare terms.
Referenced by AstRef::eq(), and z3::eq().
Z3_bool Z3_API Z3_is_eq_func_decl | ( | Z3_context | c, |
Z3_func_decl | f1, | ||
Z3_func_decl | f2 | ||
) |
compare terms.
Z3_bool Z3_API Z3_is_eq_sort | ( | Z3_context | c, |
Z3_sort | s1, | ||
Z3_sort | s2 | ||
) |
compare sorts.
Referenced by SortRef::__eq__(), and SortRef::__ne__().
Z3_bool Z3_API Z3_is_numeral_ast | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Z3_bool Z3_API Z3_is_quantifier_forall | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Determine if quantifier is universal.
Z3_bool Z3_API Z3_is_well_sorted | ( | Z3_context | c, |
Z3_ast | t | ||
) |
Return true if the given expression t
is well sorted.
Referenced by expr::is_well_sorted().
Z3_ast Z3_API Z3_mk_add | ( | Z3_context | c, |
unsigned | num_args, | ||
Z3_ast const | args[] | ||
) |
Create an AST node representing args[0] + ... + args[num_args-1]
.The array args
must have num_args
elements. All arguments must have int or real sort.
Referenced by z3py::Sum().
Z3_ast Z3_API Z3_mk_and | ( | Z3_context | c, |
unsigned | num_args, | ||
Z3_ast const | args[] | ||
) |
Create an AST node representing args[0] and ... and args[num_args-1]
.The array args
must have num_args
elements. All arguments must have Boolean sort.
Referenced by goal::as_expr().
Z3_ast Z3_API Z3_mk_app | ( | Z3_context | c, |
Z3_func_decl | d, | ||
unsigned | num_args, | ||
Z3_ast const | args[] | ||
) |
Create a constant or function application.
Referenced by FuncDeclRef::__call__(), and func_decl::operator()().
Z3_ast Z3_API Z3_mk_array_default | ( | Z3_context | c, |
Z3_ast | array | ||
) |
Access the array default value. Produces the default range value, for arrays that can be represented as finite maps with a default range value.
c | logical context. |
array | array value whose default range value is accessed. |
Z3_sort Z3_API Z3_mk_array_sort | ( | Z3_context | c, |
Z3_sort | domain, | ||
Z3_sort | range | ||
) |
Create an array type.
We usually represent the array type as: [domain -> range]
. Arrays are usually used to model the heap/memory in software verification.
Referenced by context::array_sort().
Z3_ast_map Z3_API Z3_mk_ast_map | ( | Z3_context | c | ) |
Return an empty mapping from AST to AST.
Z3_ast_vector Z3_API Z3_mk_ast_vector | ( | Z3_context | c | ) |
Return an empty AST vector.
Referenced by ast_vector_tpl< T >::ast_vector_tpl().
Z3_ast Z3_API Z3_mk_atmost | ( | Z3_context | c, |
unsigned | num_args, | ||
Z3_ast const | args[], | ||
unsigned | k | ||
) |
Pseudo-Boolean relations.
Encode p1 + p2 + ... + pn <= k
Z3_sort Z3_API Z3_mk_bool_sort | ( | Z3_context | c | ) |
Create the Boolean type.
This type is used to create propositional variables and predicates.
Referenced by context::bool_sort().
Z3_ast Z3_API Z3_mk_bound | ( | Z3_context | c, |
unsigned | index, | ||
Z3_sort | ty | ||
) |
Create a bound variable.
Bound variables are indexed by de-Bruijn indices. It is perhaps easiest to explain the meaning of de-Bruijn indices by indicating the compilation process from non-de-Bruijn formulas to de-Bruijn format.
abs(forall (x1) phi) = forall (x1) abs1(phi, x1, 0) abs(forall (x1, x2) phi) = abs(forall (x1) abs(forall (x2) phi)) abs1(x, x, n) = b_n abs1(y, x, n) = y abs1(f(t1,...,tn), x, n) = f(abs1(t1,x,n), ..., abs1(tn,x,n)) abs1(forall (x1) phi, x, n) = forall (x1) (abs1(phi, x, n+1))
The last line is significant: the index of a bound variable is different depending on the scope in which it appears. The deeper x appears, the higher is its index.
c | logical context |
index | de-Bruijn index |
ty | sort of the bound variable |
Referenced by z3py::Var().
Z3_ast Z3_API Z3_mk_bv2int | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_bool | is_signed | ||
) |
Create an integer from the bit-vector argument t1
. If is_signed
is false, then the bit-vector t1
is treated as unsigned. So the result is non-negative and in the range [0..2^N-1]
, where N are the number of bits in t1
. If is_signed
is true, t1
is treated as a signed bit-vector.
This function is essentially treated as uninterpreted. So you cannot expect Z3 to precisely reflect the semantics of this function when solving constraints with this function.
The node t1
must have a bit-vector sort.
Z3_sort Z3_API Z3_mk_bv_sort | ( | Z3_context | c, |
unsigned | sz | ||
) |
Create a bit-vector type of the given size.
This type can also be seen as a machine integer.
Referenced by context::bv_sort().
Z3_ast Z3_API Z3_mk_bvadd | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Standard two's complement addition.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvadd_no_overflow | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2, | ||
Z3_bool | is_signed | ||
) |
Create a predicate that checks that the bit-wise addition of t1
and t2
does not overflow.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvadd_no_underflow | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Create a predicate that checks that the bit-wise signed addition of t1
and t2
does not underflow.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvand | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Bitwise and.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvashr | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Arithmetic shift right.
It is like logical shift right except that the most significant bits of the result always copy the most significant bit of the second argument.
The semantics of shift operations varies between environments. This definition does not necessarily capture directly the semantics of the programming language or assembly architecture you are modeling.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvlshr | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Logical shift right.
It is equivalent to unsigned division by 2^x
where x
is the value of the third argument.
NB. The semantics of shift operations varies between environments. This definition does not necessarily capture directly the semantics of the programming language or assembly architecture you are modeling.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvmul | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Standard two's complement multiplication.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvmul_no_overflow | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2, | ||
Z3_bool | is_signed | ||
) |
Create a predicate that checks that the bit-wise multiplication of t1
and t2
does not overflow.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvmul_no_underflow | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Create a predicate that checks that the bit-wise signed multiplication of t1
and t2
does not underflow.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvnand | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Bitwise nand.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvneg | ( | Z3_context | c, |
Z3_ast | t1 | ||
) |
Standard two's complement unary minus.
The node t1
must have bit-vector sort.
Z3_ast Z3_API Z3_mk_bvneg_no_overflow | ( | Z3_context | c, |
Z3_ast | t1 | ||
) |
Check that bit-wise negation does not overflow when t1
is interpreted as a signed bit-vector.
The node t1
must have bit-vector sort.
Z3_ast Z3_API Z3_mk_bvnor | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Bitwise nor.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvnot | ( | Z3_context | c, |
Z3_ast | t1 | ||
) |
Bitwise negation.
The node t1
must have a bit-vector sort.
Z3_ast Z3_API Z3_mk_bvor | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Bitwise or.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvredand | ( | Z3_context | c, |
Z3_ast | t1 | ||
) |
Take conjunction of bits in vector, return vector of length 1.
The node t1
must have a bit-vector sort.
Z3_ast Z3_API Z3_mk_bvredor | ( | Z3_context | c, |
Z3_ast | t1 | ||
) |
Take disjunction of bits in vector, return vector of length 1.
The node t1
must have a bit-vector sort.
Z3_ast Z3_API Z3_mk_bvsdiv | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Two's complement signed division.
It is defined in the following way:
floor
of t1/t2
if t2
is different from zero, and t1*t2 >= 0
.ceiling
of t1/t2
if t2
is different from zero, and t1*t2 < 0
.If t2
is zero, then the result is undefined.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvsdiv_no_overflow | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Create a predicate that checks that the bit-wise signed division of t1
and t2
does not overflow.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvsge | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Two's complement signed greater than or equal to.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvsgt | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Two's complement signed greater than.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvshl | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Shift left.
It is equivalent to multiplication by 2^x
where x
is the value of the third argument.
NB. The semantics of shift operations varies between environments. This definition does not necessarily capture directly the semantics of the programming language or assembly architecture you are modeling.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvsle | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Two's complement signed less than or equal to.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvslt | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Z3_ast Z3_API Z3_mk_bvsmod | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Two's complement signed remainder (sign follows divisor).
If t2
is zero, then the result is undefined.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvsrem | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Two's complement signed remainder (sign follows dividend).
It is defined as t1 - (t1 /s t2) * t2
, where /s
represents signed division. The most significant bit (sign) of the result is equal to the most significant bit of t1
.
If t2
is zero, then the result is undefined.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvsub | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Standard two's complement subtraction.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvsub_no_overflow | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Create a predicate that checks that the bit-wise signed subtraction of t1
and t2
does not overflow.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvsub_no_underflow | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2, | ||
Z3_bool | is_signed | ||
) |
Create a predicate that checks that the bit-wise subtraction of t1
and t2
does not underflow.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvudiv | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Unsigned division.
It is defined as the floor
of t1/t2
if t2
is different from zero. If t2
is zero, then the result is undefined.
The nodes t1
and t2
must have the same bit-vector sort.
Referenced by z3::udiv().
Z3_ast Z3_API Z3_mk_bvuge | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Unsigned greater than or equal to.
The nodes t1
and t2
must have the same bit-vector sort.
Referenced by z3::uge().
Z3_ast Z3_API Z3_mk_bvugt | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Unsigned greater than.
The nodes t1
and t2
must have the same bit-vector sort.
Referenced by z3::ugt().
Z3_ast Z3_API Z3_mk_bvule | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Unsigned less than or equal to.
The nodes t1
and t2
must have the same bit-vector sort.
Referenced by z3::ule().
Z3_ast Z3_API Z3_mk_bvult | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Unsigned less than.
The nodes t1
and t2
must have the same bit-vector sort.
Referenced by z3::ult().
Z3_ast Z3_API Z3_mk_bvurem | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Unsigned remainder.
It is defined as t1 - (t1 /u t2) * t2
, where /u
represents unsigned division.
If t2
is zero, then the result is undefined.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvxnor | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Bitwise xnor.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_bvxor | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Bitwise exclusive-or.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_concat | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Concatenate the given bit-vectors.
The nodes t1
and t2
must have (possibly different) bit-vector sorts
The result is a bit-vector of size n1+n2
, where n1
(n2
) is the size of t1
(t2
).
Referenced by z3::concat().
Z3_config Z3_API Z3_mk_config | ( | void | ) |
Create a configuration object for the Z3 context object.
Configurations are created in order to assign parameters prior to creating contexts for Z3 interaction. For example, if the users wishes to use proof generation, then call:
Z3_set_param_value(cfg, "proof", "true")
Z3_config
was used to store global and module configurations. Now, we should use Z3_global_param_set
.The following parameters can be set:
Referenced by Context::__init__(), and config::config().
Z3_ast Z3_API Z3_mk_const | ( | Z3_context | c, |
Z3_symbol | s, | ||
Z3_sort | ty | ||
) |
Declare and create a constant.
This function is a shorthand for:
Referenced by z3py::Const(), and context::constant().
Z3_ast Z3_API Z3_mk_const_array | ( | Z3_context | c, |
Z3_sort | domain, | ||
Z3_ast | v | ||
) |
Create the constant array.
The resulting term is an array, such that a select
on an arbitrary index produces the value v
.
c | logical context. |
domain | domain sort for the array. |
v | value that the array maps to. |
Referenced by z3::const_array().
BEGIN_MLAPI_EXCLUDE Z3_constructor Z3_API Z3_mk_constructor | ( | Z3_context | c, |
Z3_symbol | name, | ||
Z3_symbol | recognizer, | ||
unsigned | num_fields, | ||
Z3_symbol const | field_names[], | ||
Z3_sort_opt const | sorts[], | ||
unsigned | sort_refs[] | ||
) |
Create a constructor.
c | logical context. |
name | constructor name. |
recognizer | name of recognizer function. |
num_fields | number of fields in constructor. |
field_names | names of the constructor fields. |
sorts | field sorts, 0 if the field sort refers to a recursive sort. |
sort_refs | reference to datatype sort that is an argument to the constructor; if the corresponding sort reference is 0, then the value in sort_refs should be an index referring to one of the recursive datatypes that is declared. |
Z3_constructor_list Z3_API Z3_mk_constructor_list | ( | Z3_context | c, |
unsigned | num_constructors, | ||
Z3_constructor const | constructors[] | ||
) |
Create list of constructors.
c | logical context. |
num_constructors | number of constructors in list. |
constructors | list of constructors. |
Z3_context Z3_API Z3_mk_context | ( | Z3_config | c | ) |
Create a context using the given configuration.
After a context is created, the configuration cannot be changed, although some parameters can be changed using Z3_update_param_value. All main interaction with Z3 happens in the context of a Z3_context
.
In contrast to Z3_mk_context_rc, the life time of Z3_ast objects are determined by the scope level of Z3_push and Z3_pop. In other words, a Z3_ast object remains valid until there is a call to Z3_pop that takes the current scope below the level where the object was created.
Note that all other reference counted objects, including Z3_model, Z3_solver, Z3_func_interp have to be managed by the caller. Their reference counts are not handled by the context.
Z3_context Z3_API Z3_mk_context_rc | ( | Z3_config | c | ) |
Create a context using the given configuration. This function is similar to Z3_mk_context. However, in the context returned by this function, the user is responsible for managing Z3_ast reference counters. Managing reference counters is a burden and error-prone, but allows the user to use the memory more efficiently. The user must invoke Z3_inc_ref for any Z3_ast returned by Z3, and Z3_dec_ref whenever the Z3_ast is not needed anymore. This idiom is similar to the one used in BDD (binary decision diagrams) packages such as CUDD.
Remark: Z3_sort, Z3_func_decl, Z3_app, Z3_pattern are Z3_ast's.
After a context is created, the configuration cannot be changed. All main interaction with Z3 happens in the context of a Z3_context
.
Z3_sort Z3_API Z3_mk_datatype | ( | Z3_context | c, |
Z3_symbol | name, | ||
unsigned | num_constructors, | ||
Z3_constructor | constructors[] | ||
) |
Create datatype, such as lists, trees, records, enumerations or unions of records. The datatype may be recursive. Return the datatype sort.
c | logical context. |
name | name of datatype. |
num_constructors | number of constructors passed in. |
constructors | array of constructor containers. |
void Z3_API Z3_mk_datatypes | ( | Z3_context | c, |
unsigned | num_sorts, | ||
Z3_symbol const | sort_names[], | ||
Z3_sort | sorts[], | ||
Z3_constructor_list | constructor_lists[] | ||
) |
Create mutually recursive datatypes.
c | logical context. |
num_sorts | number of datatype sorts. |
sort_names | names of datatype sorts. |
sorts | array of datatype sorts. |
constructor_lists | list of constructors, one list per sort. |
Z3_ast Z3_API Z3_mk_distinct | ( | Z3_context | c, |
unsigned | num_args, | ||
Z3_ast const | args[] | ||
) |
Create an AST node representing distinct(args[0], ..., args[num_args-1])
.The distinct
construct is used for declaring the arguments pairwise distinct. That is, Forall 0 <= i < j < num_args. not args[i] = args[j]
.
All arguments must have the same sort.
Referenced by ExprRef::__ne__(), z3::distinct(), and z3py::Distinct().
Z3_ast Z3_API Z3_mk_div | ( | Z3_context | c, |
Z3_ast | arg1, | ||
Z3_ast | arg2 | ||
) |
Create an AST node representing arg1 div arg2
.The arguments must either both have int type or both have real type. If the arguments have int type, then the result type is an int type, otherwise the the result type is real.
Z3_ast Z3_API Z3_mk_empty_set | ( | Z3_context | c, |
Z3_sort | domain | ||
) |
Create the empty set.
Z3_sort Z3_API Z3_mk_enumeration_sort | ( | Z3_context | c, |
Z3_symbol | name, | ||
unsigned | n, | ||
Z3_symbol const | enum_names[], | ||
Z3_func_decl | enum_consts[], | ||
Z3_func_decl | enum_testers[] | ||
) |
Create a enumeration sort.
An enumeration sort with n
elements. This function will also declare the functions corresponding to the enumerations.
c | logical context |
name | name of the enumeration sort. |
n | number of elemenets in enumeration sort. |
enum_names | names of the enumerated elements. |
enum_consts | constants corresponding to the enumerated elements. |
enum_testers | predicates testing if terms of the enumeration sort correspond to an enumeration. |
For example, if this function is called with three symbols A, B, C and the name S, then s
is a sort whose name is S, and the function returns three terms corresponding to A, B, C in enum_consts
. The array enum_testers
has three predicates of type (s -> Bool)
. The first predicate (corresponding to A) is true when applied to A, and false otherwise. Similarly for the other predicates.
Referenced by context::enumeration_sort().
Z3_ast Z3_API Z3_mk_eq | ( | Z3_context | c, |
Z3_ast | l, | ||
Z3_ast | r | ||
) |
Create an AST node representing l = r
.
The nodes l
and r
must have the same type.
Referenced by ExprRef::__eq__().
Z3_ast Z3_API Z3_mk_exists | ( | Z3_context | c, |
unsigned | weight, | ||
unsigned | num_patterns, | ||
Z3_pattern const | patterns[], | ||
unsigned | num_decls, | ||
Z3_sort const | sorts[], | ||
Z3_symbol const | decl_names[], | ||
Z3_ast | body | ||
) |
Create an exists formula. Similar to Z3_mk_forall.
Z3_ast Z3_API Z3_mk_exists_const | ( | Z3_context | c, |
unsigned | weight, | ||
unsigned | num_bound, | ||
Z3_app const | bound[], | ||
unsigned | num_patterns, | ||
Z3_pattern const | patterns[], | ||
Z3_ast | body | ||
) |
Similar to Z3_mk_forall_const.
Create an existential quantifier using a list of constants that will form the set of bound variables.
c | logical context. |
weight | quantifiers are associated with weights indicating the importance of using the quantifier during instantiation. By default, pass the weight 0. |
num_bound | number of constants to be abstracted into bound variables. |
bound | array of constants to be abstracted into bound variables. |
num_patterns | number of patterns. |
patterns | array containing the patterns created using Z3_mk_pattern. |
body | the body of the quantifier. |
Referenced by z3::exists().
Z3_ast Z3_API Z3_mk_ext_rotate_left | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Rotate bits of t1
to the left t2
times.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_ext_rotate_right | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Rotate bits of t1
to the right t2
times.
The nodes t1
and t2
must have the same bit-vector sort.
Z3_ast Z3_API Z3_mk_extract | ( | Z3_context | c, |
unsigned | high, | ||
unsigned | low, | ||
Z3_ast | t1 | ||
) |
Extract the bits high
down to low
from a bitvector of size m
to yield a new bitvector of size n
, where n = high - low + 1
.
The node t1
must have a bit-vector sort.
Referenced by expr::extract().
Z3_ast Z3_API Z3_mk_false | ( | Z3_context | c | ) |
Create an AST node representing false
.
Referenced by context::bool_val().
Z3_sort Z3_API Z3_mk_finite_domain_sort | ( | Z3_context | c, |
Z3_symbol | name, | ||
unsigned __int64 | size | ||
) |
Create a named finite domain sort.
To create constants that belong to the finite domain, use the APIs for creating numerals and pass a numeric constant together with the sort returned by this call. The numeric constant should be between 0 and the less than the size of the domain.
Referenced by z3py::FiniteDomainSort().
Z3_fixedpoint Z3_API Z3_mk_fixedpoint | ( | Z3_context | c | ) |
Create a new fixedpoint context.
Z3_ast Z3_API Z3_mk_forall | ( | Z3_context | c, |
unsigned | weight, | ||
unsigned | num_patterns, | ||
Z3_pattern const | patterns[], | ||
unsigned | num_decls, | ||
Z3_sort const | sorts[], | ||
Z3_symbol const | decl_names[], | ||
Z3_ast | body | ||
) |
Create a forall formula. It takes an expression body
that contains bound variables of the same sorts as the sorts listed in the array sorts
. The bound variables are de-Bruijn indices created using Z3_mk_bound. The array decl_names
contains the names that the quantified formula uses for the bound variables. Z3 applies the convention that the last element in the decl_names
and sorts
array refers to the variable with index 0, the second to last element of decl_names
and sorts
refers to the variable with index 1, etc.
c | logical context. |
weight | quantifiers are associated with weights indicating the importance of using the quantifier during instantiation. By default, pass the weight 0. |
num_patterns | number of patterns. |
patterns | array containing the patterns created using Z3_mk_pattern. |
num_decls | number of variables to be bound. |
sorts | the sorts of the bound variables. |
decl_names | names of the bound variables |
body | the body of the quantifier. |
Z3_ast Z3_API Z3_mk_forall_const | ( | Z3_context | c, |
unsigned | weight, | ||
unsigned | num_bound, | ||
Z3_app const | bound[], | ||
unsigned | num_patterns, | ||
Z3_pattern const | patterns[], | ||
Z3_ast | body | ||
) |
Create a universal quantifier using a list of constants that will form the set of bound variables.
c | logical context. |
weight | quantifiers are associated with weights indicating the importance of using the quantifier during instantiation. By default, pass the weight 0. |
num_bound | number of constants to be abstracted into bound variables. |
bound | array of constants to be abstracted into bound variables. |
num_patterns | number of patterns. |
patterns | array containing the patterns created using Z3_mk_pattern. |
body | the body of the quantifier. |
Referenced by z3::forall().
Z3_ast Z3_API Z3_mk_fpa_abs | ( | Z3_context | c, |
Z3_ast | t | ||
) |
Floating-point absolute value.
c | logical context |
t | term of FloatingPoint sort |
Z3_ast Z3_API Z3_mk_fpa_add | ( | Z3_context | c, |
Z3_ast | rm, | ||
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Floating-point addition.
c | logical context |
rm | term of RoundingMode sort |
t1 | term of FloatingPoint sort |
t2 | term of FloatingPoint sort |
rm must be of RoundingMode sort, t1 and t2 must have the same FloatingPoint sort.
Z3_ast Z3_API Z3_mk_fpa_div | ( | Z3_context | c, |
Z3_ast | rm, | ||
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Floating-point division.
c | logical context |
rm | term of RoundingMode sort |
t1 | term of FloatingPoint sort. |
t2 | term of FloatingPoint sort |
The nodes rm must be of RoundingMode sort t1 and t2 must have the same FloatingPoint sort.
Z3_ast Z3_API Z3_mk_fpa_eq | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Floating-point equality.
c | logical context |
t1 | term of FloatingPoint sort |
t2 | term of FloatingPoint sort |
Note that this is IEEE 754 equality (as opposed to SMT-LIB =).
t1 and t2 must have the same FloatingPoint sort.
Z3_ast Z3_API Z3_mk_fpa_fma | ( | Z3_context | c, |
Z3_ast | rm, | ||
Z3_ast | t1, | ||
Z3_ast | t2, | ||
Z3_ast | t3 | ||
) |
Floating-point fused multiply-add.
c | logical context |
rm | term of RoundingMode sort |
t1 | term of FloatingPoint sort |
t2 | term of FloatingPoint sor |
t3 | term of FloatingPoint sort |
The result is round((t1 * t2) + t3)
rm must be of RoundingMode sort, t1, t2, and t3 must have the same FloatingPoint sort.
Z3_ast Z3_API Z3_mk_fpa_fp | ( | Z3_context | c, |
Z3_ast | sgn, | ||
Z3_ast | exp, | ||
Z3_ast | sig | ||
) |
Create an expression of FloatingPoint sort from three bit-vector expressions.
This is the operator named `fp' in the SMT FP theory definition. Note that sign
is required to be a bit-vector of size 1. Significand and exponent are required to be greater than 1 and 2 respectively. The FloatingPoint sort of the resulting expression is automatically determined from the bit-vector sizes of the arguments.
c | logical context |
sgn | sign |
exp | exponent |
sig | significand |
Z3_ast Z3_API Z3_mk_fpa_geq | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Floating-point greater than or equal.
c | logical context |
t1 | term of FloatingPoint sort |
t2 | term of FloatingPoint sort |
t1 and t2 must have the same FloatingPoint sort.
Z3_ast Z3_API Z3_mk_fpa_gt | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Floating-point greater than.
c | logical context |
t1 | term of FloatingPoint sort |
t2 | term of FloatingPoint sort |
t1 and t2 must have the same FloatingPoint sort.
Z3_ast Z3_API Z3_mk_fpa_inf | ( | Z3_context | c, |
Z3_sort | s, | ||
Z3_bool | negative | ||
) |
Create a floating-point infinity of sort s.
c | logical context |
s | target sort |
negative | indicates whether the result should be negative |
When negative
is true, -oo will be generated instead of +oo.
Z3_ast Z3_API Z3_mk_fpa_is_infinite | ( | Z3_context | c, |
Z3_ast | t | ||
) |
Predicate indicating whether t is a floating-point number representing +oo or -oo.
c | logical context |
t | term of FloatingPoint sort |
t must have FloatingPoint sort.
Z3_ast Z3_API Z3_mk_fpa_is_nan | ( | Z3_context | c, |
Z3_ast | t | ||
) |
Predicate indicating whether t is a NaN.
c | logical context |
t | term of FloatingPoint sort |
t must have FloatingPoint sort.
Z3_ast Z3_API Z3_mk_fpa_is_negative | ( | Z3_context | c, |
Z3_ast | t | ||
) |
Predicate indicating whether t is a negative floating-point number.
c | logical context |
t | term of FloatingPoint sort |
t must have FloatingPoint sort.
Z3_ast Z3_API Z3_mk_fpa_is_normal | ( | Z3_context | c, |
Z3_ast | t | ||
) |
Predicate indicating whether t is a normal floating-point number.
c | logical context |
t | term of FloatingPoint sort |
t must have FloatingPoint sort.
Z3_ast Z3_API Z3_mk_fpa_is_positive | ( | Z3_context | c, |
Z3_ast | t | ||
) |
Predicate indicating whether t is a positive floating-point number.
c | logical context |
t | term of FloatingPoint sort |
t must have FloatingPoint sort.
Z3_ast Z3_API Z3_mk_fpa_is_subnormal | ( | Z3_context | c, |
Z3_ast | t | ||
) |
Predicate indicating whether t is a subnormal floating-point number.
c | logical context |
t | term of FloatingPoint sort |
t must have FloatingPoint sort.
Z3_ast Z3_API Z3_mk_fpa_is_zero | ( | Z3_context | c, |
Z3_ast | t | ||
) |
Predicate indicating whether t is a floating-point number with zero value, i.e., +zero or -zero.
c | logical context |
t | term of FloatingPoint sort |
t must have FloatingPoint sort.
Z3_ast Z3_API Z3_mk_fpa_leq | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Floating-point less than or equal.
c | logical context |
t1 | term of FloatingPoint sort |
t2 | term of FloatingPoint sort |
t1 and t2 must have the same FloatingPoint sort.
Z3_ast Z3_API Z3_mk_fpa_lt | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Floating-point less than.
c | logical context |
t1 | term of FloatingPoint sort |
t2 | term of FloatingPoint sort |
t1 and t2 must have the same FloatingPoint sort.
Z3_ast Z3_API Z3_mk_fpa_max | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Maximum of floating-point numbers.
c | logical context |
t1 | term of FloatingPoint sort |
t2 | term of FloatingPoint sort |
t1, t2 must have the same FloatingPoint sort.
Z3_ast Z3_API Z3_mk_fpa_min | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Minimum of floating-point numbers.
c | logical context |
t1 | term of FloatingPoint sort |
t2 | term of FloatingPoint sort |
t1, t2 must have the same FloatingPoint sort.
Z3_ast Z3_API Z3_mk_fpa_mul | ( | Z3_context | c, |
Z3_ast | rm, | ||
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Floating-point multiplication.
c | logical context |
rm | term of RoundingMode sort |
t1 | term of FloatingPoint sort |
t2 | term of FloatingPoint sort |
rm must be of RoundingMode sort, t1 and t2 must have the same FloatingPoint sort.
Z3_ast Z3_API Z3_mk_fpa_nan | ( | Z3_context | c, |
Z3_sort | s | ||
) |
Create a floating-point NaN of sort s.
c | logical context |
s | target sort |
Z3_ast Z3_API Z3_mk_fpa_neg | ( | Z3_context | c, |
Z3_ast | t | ||
) |
Floating-point negation.
c | logical context |
t | term of FloatingPoint sort |
Z3_ast Z3_API Z3_mk_fpa_numeral_double | ( | Z3_context | c, |
double | v, | ||
Z3_sort | ty | ||
) |
Create a numeral of FloatingPoint sort from a double.
This function is used to create numerals that fit in a double value. It is slightly faster than Z3_mk_numeral since it is not necessary to parse a string.
c | logical context |
v | value |
ty | sort |
ty must be a FloatingPoint sort
Z3_ast Z3_API Z3_mk_fpa_numeral_float | ( | Z3_context | c, |
float | v, | ||
Z3_sort | ty | ||
) |
Create a numeral of FloatingPoint sort from a float.
This function is used to create numerals that fit in a float value. It is slightly faster than Z3_mk_numeral since it is not necessary to parse a string.
c | logical context |
v | value |
ty | sort |
ty must be a FloatingPoint sort
Z3_ast Z3_API Z3_mk_fpa_numeral_int | ( | Z3_context | c, |
signed | v, | ||
Z3_sort | ty | ||
) |
Create a numeral of FloatingPoint sort from a signed integer.
c | logical context |
v | value |
ty | result sort |
ty must be a FloatingPoint sort
Z3_ast Z3_API Z3_mk_fpa_numeral_int64_uint64 | ( | Z3_context | c, |
Z3_bool | sgn, | ||
__int64 | exp, | ||
__uint64 | sig, | ||
Z3_sort | ty | ||
) |
Create a numeral of FloatingPoint sort from a sign bit and two 64-bit integers.
c | logical context |
sgn | sign bit (true == negative) |
sig | significand |
exp | exponent |
ty | result sort |
ty must be a FloatingPoint sort
Z3_ast Z3_API Z3_mk_fpa_numeral_int_uint | ( | Z3_context | c, |
Z3_bool | sgn, | ||
signed | exp, | ||
unsigned | sig, | ||
Z3_sort | ty | ||
) |
Create a numeral of FloatingPoint sort from a sign bit and two integers.
c | logical context |
sgn | sign bit (true == negative) |
sig | significand |
exp | exponent |
ty | result sort |
ty must be a FloatingPoint sort
Z3_ast Z3_API Z3_mk_fpa_rem | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Floating-point remainder.
c | logical context |
t1 | term of FloatingPoint sort |
t2 | term of FloatingPoint sort |
t1 and t2 must have the same FloatingPoint sort.
Z3_ast Z3_API Z3_mk_fpa_rna | ( | Z3_context | c | ) |
Create a numeral of RoundingMode sort which represents the NearestTiesToAway rounding mode.
c | logical context |
Z3_ast Z3_API Z3_mk_fpa_rne | ( | Z3_context | c | ) |
Create a numeral of RoundingMode sort which represents the NearestTiesToEven rounding mode.
c | logical context |
Z3_ast Z3_API Z3_mk_fpa_round_nearest_ties_to_away | ( | Z3_context | c | ) |
Create a numeral of RoundingMode sort which represents the NearestTiesToAway rounding mode.
c | logical context |
Z3_ast Z3_API Z3_mk_fpa_round_nearest_ties_to_even | ( | Z3_context | c | ) |
Create a numeral of RoundingMode sort which represents the NearestTiesToEven rounding mode.
c | logical context |
Z3_ast Z3_API Z3_mk_fpa_round_to_integral | ( | Z3_context | c, |
Z3_ast | rm, | ||
Z3_ast | t | ||
) |
Floating-point roundToIntegral. Rounds a floating-point number to the closest integer, again represented as a floating-point number.
c | logical context |
rm | term of RoundingMode sort |
t | term of FloatingPoint sort |
t must be of FloatingPoint sort.
Z3_ast Z3_API Z3_mk_fpa_round_toward_negative | ( | Z3_context | c | ) |
Create a numeral of RoundingMode sort which represents the TowardNegative rounding mode.
c | logical context |
Z3_ast Z3_API Z3_mk_fpa_round_toward_positive | ( | Z3_context | c | ) |
Create a numeral of RoundingMode sort which represents the TowardPositive rounding mode.
c | logical context |
Z3_ast Z3_API Z3_mk_fpa_round_toward_zero | ( | Z3_context | c | ) |
Create a numeral of RoundingMode sort which represents the TowardZero rounding mode.
c | logical context |
Z3_sort Z3_API Z3_mk_fpa_rounding_mode_sort | ( | Z3_context | c | ) |
Create the RoundingMode sort.
c | logical context |
Z3_ast Z3_API Z3_mk_fpa_rtn | ( | Z3_context | c | ) |
Create a numeral of RoundingMode sort which represents the TowardNegative rounding mode.
c | logical context |
Z3_ast Z3_API Z3_mk_fpa_rtp | ( | Z3_context | c | ) |
Create a numeral of RoundingMode sort which represents the TowardPositive rounding mode.
c | logical context |
Z3_ast Z3_API Z3_mk_fpa_rtz | ( | Z3_context | c | ) |
Create a numeral of RoundingMode sort which represents the TowardZero rounding mode.
c | logical context |
Z3_sort Z3_API Z3_mk_fpa_sort | ( | Z3_context | c, |
unsigned | ebits, | ||
unsigned | sbits | ||
) |
Create a FloatingPoint sort.
c | logical context |
ebits | number of exponent bits |
sbits | number of significand bits |
Z3_sort Z3_API Z3_mk_fpa_sort_128 | ( | Z3_context | c | ) |
Create the quadruple-precision (128-bit) FloatingPoint sort.
c | logical context |
Z3_sort Z3_API Z3_mk_fpa_sort_16 | ( | Z3_context | c | ) |
Create the half-precision (16-bit) FloatingPoint sort.
c | logical context |
Z3_sort Z3_API Z3_mk_fpa_sort_32 | ( | Z3_context | c | ) |
Create the single-precision (32-bit) FloatingPoint sort.
c | logical context |
Z3_sort Z3_API Z3_mk_fpa_sort_64 | ( | Z3_context | c | ) |
Create the double-precision (64-bit) FloatingPoint sort.
c | logical context |
Z3_sort Z3_API Z3_mk_fpa_sort_double | ( | Z3_context | c | ) |
Create the double-precision (64-bit) FloatingPoint sort.
c | logical context |
Z3_sort Z3_API Z3_mk_fpa_sort_half | ( | Z3_context | c | ) |
Create the half-precision (16-bit) FloatingPoint sort.
c | logical context |
Z3_sort Z3_API Z3_mk_fpa_sort_quadruple | ( | Z3_context | c | ) |
Create the quadruple-precision (128-bit) FloatingPoint sort.
c | logical context |
Z3_sort Z3_API Z3_mk_fpa_sort_single | ( | Z3_context | c | ) |
Create the single-precision (32-bit) FloatingPoint sort.
c | logical context. |
Z3_ast Z3_API Z3_mk_fpa_sqrt | ( | Z3_context | c, |
Z3_ast | rm, | ||
Z3_ast | t | ||
) |
Floating-point square root.
c | logical context |
rm | term of RoundingMode sort |
t | term of FloatingPoint sort |
rm must be of RoundingMode sort, t must have FloatingPoint sort.
Z3_ast Z3_API Z3_mk_fpa_sub | ( | Z3_context | c, |
Z3_ast | rm, | ||
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Floating-point subtraction.
c | logical context |
rm | term of RoundingMode sort |
t1 | term of FloatingPoint sort |
t2 | term of FloatingPoint sort |
rm must be of RoundingMode sort, t1 and t2 must have the same FloatingPoint sort.
Z3_ast Z3_API Z3_mk_fpa_to_fp_bv | ( | Z3_context | c, |
Z3_ast | bv, | ||
Z3_sort | s | ||
) |
Conversion of a single IEEE 754-2008 bit-vector into a floating-point number.
Produces a term that represents the conversion of a bit-vector term bv to a floating-point term of sort s.
c | logical context |
bv | a bit-vector term |
s | floating-point sort |
s must be a FloatingPoint sort, t must be of bit-vector sort, and the bit-vector size of bv must be equal to ebits+sbits of s. The format of the bit-vector is as defined by the IEEE 754-2008 interchange format.
Z3_ast Z3_API Z3_mk_fpa_to_fp_float | ( | Z3_context | c, |
Z3_ast | rm, | ||
Z3_ast | t, | ||
Z3_sort | s | ||
) |
Conversion of a FloatingPoint term into another term of different FloatingPoint sort.
Produces a term that represents the conversion of a floating-point term t to a floating-point term of sort s. If necessary, the result will be rounded according to rounding mode rm.
c | logical context |
rm | term of RoundingMode sort |
t | term of FloatingPoint sort |
s | floating-point sort |
s must be a FloatingPoint sort, rm must be of RoundingMode sort, t must be of floating-point sort.
Z3_ast Z3_API Z3_mk_fpa_to_fp_int_real | ( | Z3_context | c, |
Z3_ast | rm, | ||
Z3_ast | exp, | ||
Z3_ast | sig, | ||
Z3_sort | s | ||
) |
Conversion of a real-sorted significand and an integer-sorted exponent into a term of FloatingPoint sort.
Produces a term that represents the conversion of sig * 2^exp into a floating-point term of sort s. If necessary, the result will be rounded according to rounding mode rm.
c | logical context |
rm | term of RoundingMode sort |
exp | exponent term of Int sort |
sig | significand term of Real sort |
s | FloatingPoint sort |
s must be a FloatingPoint sort, rm must be of RoundingMode sort, exp must be of int sort, sig must be of real sort.
Z3_ast Z3_API Z3_mk_fpa_to_fp_real | ( | Z3_context | c, |
Z3_ast | rm, | ||
Z3_ast | t, | ||
Z3_sort | s | ||
) |
Conversion of a term of real sort into a term of FloatingPoint sort.
Produces a term that represents the conversion of term t of real sort into a floating-point term of sort s. If necessary, the result will be rounded according to rounding mode rm.
c | logical context |
rm | term of RoundingMode sort |
t | term of Real sort |
s | floating-point sort |
s must be a FloatingPoint sort, rm must be of RoundingMode sort, t must be of real sort.
Z3_ast Z3_API Z3_mk_fpa_to_fp_signed | ( | Z3_context | c, |
Z3_ast | rm, | ||
Z3_ast | t, | ||
Z3_sort | s | ||
) |
Conversion of a 2's complement signed bit-vector term into a term of FloatingPoint sort.
Produces a term that represents the conversion of the bit-vector term t into a floating-point term of sort s. The bit-vector t is taken to be in signed 2's complement format. If necessary, the result will be rounded according to rounding mode rm.
c | logical context |
rm | term of RoundingMode sort |
t | term of bit-vector sort |
s | floating-point sort |
s must be a FloatingPoint sort, rm must be of RoundingMode sort, t must be of bit-vector sort.
Z3_ast Z3_API Z3_mk_fpa_to_fp_unsigned | ( | Z3_context | c, |
Z3_ast | rm, | ||
Z3_ast | t, | ||
Z3_sort | s | ||
) |
Conversion of a 2's complement unsigned bit-vector term into a term of FloatingPoint sort.
Produces a term that represents the conversion of the bit-vector term t into a floating-point term of sort s. The bit-vector t is taken to be in unsigned 2's complement format. If necessary, the result will be rounded according to rounding mode rm.
c | logical context |
rm | term of RoundingMode sort |
t | term of bit-vector sort |
s | floating-point sort |
s must be a FloatingPoint sort, rm must be of RoundingMode sort, t must be of bit-vector sort.
Z3_ast Z3_API Z3_mk_fpa_to_ieee_bv | ( | Z3_context | c, |
Z3_ast | t | ||
) |
Conversion of a floating-point term into a bit-vector term in IEEE 754-2008 format.
c | logical context |
t | term of FloatingPoint sort |
t must have FloatingPoint sort. The size of the resulting bit-vector is automatically determined.
Note that IEEE 754-2008 allows multiple different representations of NaN. This conversion knows only one NaN and it will always produce the same bit-vector represenatation of that NaN.
Z3_ast Z3_API Z3_mk_fpa_to_real | ( | Z3_context | c, |
Z3_ast | t | ||
) |
Conversion of a floating-point term into a real-numbered term.
Produces a term that represents the conversion of the floating-poiunt term t into a real number. Note that this type of conversion will often result in non-linear constraints over real terms.
c | logical context |
t | term of FloatingPoint sort |
Z3_ast Z3_API Z3_mk_fpa_to_sbv | ( | Z3_context | c, |
Z3_ast | rm, | ||
Z3_ast | t, | ||
unsigned | sz | ||
) |
Conversion of a floating-point term into a signed bit-vector.
Produces a term that represents the conversion of the floating-poiunt term t into a bit-vector term of size sz in signed 2's complement format. If necessary, the result will be rounded according to rounding mode rm.
c | logical context |
rm | term of RoundingMode sort |
t | term of FloatingPoint sort |
sz | size of the resulting bit-vector |
Z3_ast Z3_API Z3_mk_fpa_to_ubv | ( | Z3_context | c, |
Z3_ast | rm, | ||
Z3_ast | t, | ||
unsigned | sz | ||
) |
Conversion of a floating-point term into an unsigned bit-vector.
Produces a term that represents the conversion of the floating-poiunt term t into a bit-vector term of size sz in unsigned 2's complement format. If necessary, the result will be rounded according to rounding mode rm.
c | logical context |
rm | term of RoundingMode sort |
t | term of FloatingPoint sort |
sz | size of the resulting bit-vector |
Z3_ast Z3_API Z3_mk_fpa_zero | ( | Z3_context | c, |
Z3_sort | s, | ||
Z3_bool | negative | ||
) |
Create a floating-point zero of sort s.
c | logical context |
s | target sort |
negative | indicates whether the result should be negative |
When negative
is true, -zero will be generated instead of +zero.
Z3_ast Z3_API Z3_mk_fresh_const | ( | Z3_context | c, |
Z3_string | prefix, | ||
Z3_sort | ty | ||
) |
Declare and create a fresh constant.
This function is a shorthand for:
prefix
is NULL
, then it is assumed to be the empty string.Z3_func_decl Z3_API Z3_mk_fresh_func_decl | ( | Z3_context | c, |
Z3_string | prefix, | ||
unsigned | domain_size, | ||
Z3_sort const | domain[], | ||
Z3_sort | range | ||
) |
Declare a fresh constant or function.
Z3 will generate an unique name for this function declaration. If prefix is different from NULL
, then the name generate by Z3 will start with prefix
.
prefix
is NULL
, then it is assumed to be the empty string.Z3_ast Z3_API Z3_mk_full_set | ( | Z3_context | c, |
Z3_sort | domain | ||
) |
Create the full set.
Z3_func_decl Z3_API Z3_mk_func_decl | ( | Z3_context | c, |
Z3_symbol | s, | ||
unsigned | domain_size, | ||
Z3_sort const | domain[], | ||
Z3_sort | range | ||
) |
Declare a constant or function.
c | logical context. |
s | name of the constant or function. |
domain_size | number of arguments. It is 0 when declaring a constant. |
domain | array containing the sort of each argument. The array must contain domain_size elements. It is 0 when declaring a constant. |
range | sort of the constant or the return sort of the function. |
After declaring a constant or function, the function Z3_mk_app can be used to create a constant or function application.
Referenced by context::function(), and z3py::Function().
Z3_ast Z3_API Z3_mk_ge | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Create greater than or equal to.
The nodes t1
and t2
must have the same sort, and must be int or real.
Create a goal (aka problem). A goal is essentially a set of formulas, that can be solved and/or transformed using tactics and solvers.
If models == true, then model generation is enabled for the new goal.
If unsat_cores == true, then unsat core generation is enabled for the new goal.
If proofs == true, then proof generation is enabled for the new goal. Remark, the Z3 context c must have been created with proof generation support.
Referenced by goal::goal().
Z3_ast Z3_API Z3_mk_gt | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Create greater than.
The nodes t1
and t2
must have the same sort, and must be int or real.
Z3_ast Z3_API Z3_mk_iff | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Create an AST node representing t1 iff t2
.
The nodes t1
and t2
must have Boolean sort.
Z3_ast Z3_API Z3_mk_implies | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Create an AST node representing t1 implies t2
.
The nodes t1
and t2
must have Boolean sort.
Z3_func_decl Z3_API Z3_mk_injective_function | ( | Z3_context | c, |
Z3_symbol | s, | ||
unsigned | domain_size, | ||
Z3_sort const | domain[], | ||
Z3_sort | range | ||
) |
Create injective function declaration.
Z3_ast Z3_API Z3_mk_int | ( | Z3_context | c, |
int | v, | ||
Z3_sort | ty | ||
) |
Create a numeral of an int, bit-vector, or finite-domain sort.
This function can be use to create numerals that fit in a machine integer. It is slightly faster than Z3_mk_numeral since it is not necessary to parse a string.
Referenced by context::bv_val(), context::int_val(), context::num_val(), and context::real_val().
Z3_ast Z3_API Z3_mk_int2bv | ( | Z3_context | c, |
unsigned | n, | ||
Z3_ast | t1 | ||
) |
Create an n
bit bit-vector from the integer argument t1
.
NB. This function is essentially treated as uninterpreted. So you cannot expect Z3 to precisely reflect the semantics of this function when solving constraints with this function.
The node t1
must have integer sort.
Z3_ast Z3_API Z3_mk_int2real | ( | Z3_context | c, |
Z3_ast | t1 | ||
) |
Coerce an integer to a real.
There is also a converse operation exposed. It follows the semantics prescribed by the SMT-LIB standard.
You can take the floor of a real by creating an auxiliary integer constant k
and and asserting mk_int2real(k) <= t1 < mk_int2real(k)+1
.
The node t1
must have sort integer.
Referenced by z3::to_real().
Z3_ast Z3_API Z3_mk_int64 | ( | Z3_context | c, |
__int64 | v, | ||
Z3_sort | ty | ||
) |
Create a numeral of a int, bit-vector, or finite-domain sort.
This function can be use to create numerals that fit in a machine __int64 integer. It is slightly faster than Z3_mk_numeral since it is not necessary to parse a string.
Referenced by context::bv_val(), context::int_val(), and context::real_val().
Z3_sort Z3_API Z3_mk_int_sort | ( | Z3_context | c | ) |
Create the integer type.
This type is not the int type found in programming languages. A machine integer can be represented using bit-vectors. The function Z3_mk_bv_sort creates a bit-vector type.
Referenced by context::int_sort().
Z3_symbol Z3_API Z3_mk_int_symbol | ( | Z3_context | c, |
int | i | ||
) |
Create a Z3 symbol using an integer.
Symbols are used to name several term and type constructors.
NB. Not all integers can be passed to this function. The legal range of unsigned integers is 0 to 2^30-1.
Referenced by context::int_symbol(), and z3py::to_symbol().
Z3_ast Z3_API Z3_mk_interpolant | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Create an AST node marking a formula position for interpolation.
The node a
must have Boolean sort.
Z3_context Z3_API Z3_mk_interpolation_context | ( | Z3_config | cfg | ) |
This function generates a Z3 context suitable for generation of interpolants. Formulas can be generated as abstract syntax trees in this context using the Z3 C API.
Interpolants are also generated as AST's in this context.
If cfg is non-null, it will be used as the base configuration for the Z3 context. This makes it possible to set Z3 options to be used during interpolation. This feature should be used with some caution however, as it may be that certain Z3 options are incompatible with interpolation.
Z3_ast Z3_API Z3_mk_is_int | ( | Z3_context | c, |
Z3_ast | t1 | ||
) |
Check if a real number is an integer.
Z3_ast Z3_API Z3_mk_ite | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2, | ||
Z3_ast | t3 | ||
) |
Create an AST node representing an if-then-else: ite(t1, t2, t3)
.
The node t1
must have Boolean sort, t2
and t3
must have the same sort. The sort of the new node is equal to the sort of t2
and t3
.
Referenced by z3py::If(), and z3::ite().
Z3_ast Z3_API Z3_mk_label | ( | Z3_context | c, |
Z3_symbol | s, | ||
Z3_bool | is_pos, | ||
Z3_ast | f | ||
) |
Create a labeled formula.
c | logical context. |
s | name of the label. |
is_pos | label polarity. |
f | formula being labeled. |
A label behaves as an identity function, so the truth value of the labeled formula is unchanged. Labels are used for identifying useful sub-formulas when generating counter-examples.
Z3_ast Z3_API Z3_mk_le | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Create less than or equal to.
The nodes t1
and t2
must have the same sort, and must be int or real.
Z3_sort Z3_API Z3_mk_list_sort | ( | Z3_context | c, |
Z3_symbol | name, | ||
Z3_sort | elem_sort, | ||
Z3_func_decl * | nil_decl, | ||
Z3_func_decl * | is_nil_decl, | ||
Z3_func_decl * | cons_decl, | ||
Z3_func_decl * | is_cons_decl, | ||
Z3_func_decl * | head_decl, | ||
Z3_func_decl * | tail_decl | ||
) |
Create a list sort.
A list sort over elem_sort
This function declares the corresponding constructors and testers for lists.
c | logical context |
name | name of the list sort. |
elem_sort | sort of list elements. |
nil_decl | declaration for the empty list. |
is_nil_decl | test for the empty list. |
cons_decl | declaration for a cons cell. |
is_cons_decl | cons cell test. |
head_decl | list head. |
tail_decl | list tail. |
Z3_ast Z3_API Z3_mk_lt | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Create less than.
The nodes t1
and t2
must have the same sort, and must be int or real.
Z3_ast Z3_API Z3_mk_map | ( | Z3_context | c, |
Z3_func_decl | f, | ||
unsigned | n, | ||
Z3_ast const * | args | ||
) |
map f on the the argument arrays.
The n
nodes args
must be of array sorts [domain_i -> range_i]
. The function declaration f
must have type range_1 .. range_n -> range
. v
must have sort range. The sort of the result is [domain_i -> range]
.
Z3_ast Z3_API Z3_mk_mod | ( | Z3_context | c, |
Z3_ast | arg1, | ||
Z3_ast | arg2 | ||
) |
Create an AST node representing arg1 mod arg2
.The arguments must have int type.
Z3_ast Z3_API Z3_mk_mul | ( | Z3_context | c, |
unsigned | num_args, | ||
Z3_ast const | args[] | ||
) |
Create an AST node representing args[0] * ... * args[num_args-1]
.The array args
must have num_args
elements. All arguments must have int or real sort.
Referenced by z3py::Product().
Z3_ast Z3_API Z3_mk_not | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Create an AST node representing not(a)
.
The node a
must have Boolean sort.
Z3_ast Z3_API Z3_mk_numeral | ( | Z3_context | c, |
Z3_string | numeral, | ||
Z3_sort | ty | ||
) |
Create a numeral of a given sort.
c | logical context. |
numeral | A string representing the numeral value in decimal notation. If the given sort is a real, then the numeral can be a rational, that is, a string of the form [num]* / [num]* . |
ty | The sort of the numeral. In the current implementation, the given sort can be an int, real, finite-domain, or bit-vectors of arbitrary size. |
Referenced by context::bv_val(), context::int_val(), and context::real_val().
Z3_optimize Z3_API Z3_mk_optimize | ( | Z3_context | c | ) |
Create a new optimize context.
Referenced by optimize::optimize().
Z3_ast Z3_API Z3_mk_or | ( | Z3_context | c, |
unsigned | num_args, | ||
Z3_ast const | args[] | ||
) |
Create an AST node representing args[0] or ... or args[num_args-1]
.The array args
must have num_args
elements. All arguments must have Boolean sort.
Z3_params Z3_API Z3_mk_params | ( | Z3_context | c | ) |
Create a Z3 (empty) parameter set. Starting at Z3 4.0, parameter sets are used to configure many components such as: simplifiers, tactics, solvers, etc.
Referenced by params::params().
Z3_pattern Z3_API Z3_mk_pattern | ( | Z3_context | c, |
unsigned | num_patterns, | ||
Z3_ast const | terms[] | ||
) |
Create a pattern for quantifier instantiation.
Z3 uses pattern matching to instantiate quantifiers. If a pattern is not provided for a quantifier, then Z3 will automatically compute a set of patterns for it. However, for optimal performance, the user should provide the patterns.
Patterns comprise a list of terms. The list should be non-empty. If the list comprises of more than one term, it is a called a multi-pattern.
In general, one can pass in a list of (multi-)patterns in the quantifier constructor.
Z3_ast Z3_API Z3_mk_pble | ( | Z3_context | c, |
unsigned | num_args, | ||
Z3_ast const | args[], | ||
int | coeffs[], | ||
int | k | ||
) |
Pseudo-Boolean relations.
Encode k1*p1 + k2*p2 + ... + kn*pn <= k
Z3_ast Z3_API Z3_mk_power | ( | Z3_context | c, |
Z3_ast | arg1, | ||
Z3_ast | arg2 | ||
) |
Create an AST node representing arg1^arg2
.
The arguments must have int or real type.
Referenced by z3::pw().
Z3_probe Z3_API Z3_mk_probe | ( | Z3_context | c, |
Z3_string | name | ||
) |
Return a probe associated with the given name. The complete list of probes may be obtained using the procedures Z3_get_num_probes and Z3_get_probe_name. It may also be obtained using the command (help-tactics)
in the SMT 2.0 front-end.
Probes are used to inspect a goal (aka problem) and collect information that may be used to decide which solver and/or preprocessing step will be used.
Referenced by probe::probe().
Z3_ast Z3_API Z3_mk_quantifier | ( | Z3_context | c, |
Z3_bool | is_forall, | ||
unsigned | weight, | ||
unsigned | num_patterns, | ||
Z3_pattern const | patterns[], | ||
unsigned | num_decls, | ||
Z3_sort const | sorts[], | ||
Z3_symbol const | decl_names[], | ||
Z3_ast | body | ||
) |
Create a quantifier - universal or existential, with pattern hints. See the documentation for Z3_mk_forall for an explanation of the parameters.
c | logical context. |
is_forall | flag to indicate if this is a universal or existential quantifier. |
weight | quantifiers are associated with weights indicating the importance of using the quantifier during instantiation. By default, pass the weight 0. |
num_patterns | number of patterns. |
patterns | array containing the patterns created using Z3_mk_pattern. |
num_decls | number of variables to be bound. |
sorts | array of sorts of the bound variables. |
decl_names | names of the bound variables. |
body | the body of the quantifier. |
Z3_ast Z3_API Z3_mk_quantifier_const | ( | Z3_context | c, |
Z3_bool | is_forall, | ||
unsigned | weight, | ||
unsigned | num_bound, | ||
Z3_app const | bound[], | ||
unsigned | num_patterns, | ||
Z3_pattern const | patterns[], | ||
Z3_ast | body | ||
) |
Create a universal or existential quantifier using a list of constants that will form the set of bound variables.
Z3_ast Z3_API Z3_mk_quantifier_const_ex | ( | Z3_context | c, |
Z3_bool | is_forall, | ||
unsigned | weight, | ||
Z3_symbol | quantifier_id, | ||
Z3_symbol | skolem_id, | ||
unsigned | num_bound, | ||
Z3_app const | bound[], | ||
unsigned | num_patterns, | ||
Z3_pattern const | patterns[], | ||
unsigned | num_no_patterns, | ||
Z3_ast const | no_patterns[], | ||
Z3_ast | body | ||
) |
Create a universal or existential quantifier using a list of constants that will form the set of bound variables.
Z3_ast Z3_API Z3_mk_quantifier_ex | ( | Z3_context | c, |
Z3_bool | is_forall, | ||
unsigned | weight, | ||
Z3_symbol | quantifier_id, | ||
Z3_symbol | skolem_id, | ||
unsigned | num_patterns, | ||
Z3_pattern const | patterns[], | ||
unsigned | num_no_patterns, | ||
Z3_ast const | no_patterns[], | ||
unsigned | num_decls, | ||
Z3_sort const | sorts[], | ||
Z3_symbol const | decl_names[], | ||
Z3_ast | body | ||
) |
Create a quantifier - universal or existential, with pattern hints, no patterns, and attributes.
c | logical context. |
is_forall | flag to indicate if this is a universal or existential quantifier. |
quantifier_id | identifier to identify quantifier |
skolem_id | identifier to identify skolem constants introduced by quantifier. |
weight | quantifiers are associated with weights indicating the importance of using the quantifier during instantiation. By default, pass the weight 0. |
num_patterns | number of patterns. |
patterns | array containing the patterns created using Z3_mk_pattern. |
num_no_patterns | number of no_patterns. |
no_patterns | array containing subexpressions to be excluded from inferred patterns. |
num_decls | number of variables to be bound. |
sorts | array of sorts of the bound variables. |
decl_names | names of the bound variables. |
body | the body of the quantifier. |
Z3_ast Z3_API Z3_mk_real | ( | Z3_context | c, |
int | num, | ||
int | den | ||
) |
Create a real from a fraction.
c | logical context. |
num | numerator of rational. |
den | denomerator of rational. |
Referenced by context::real_val().
Z3_ast Z3_API Z3_mk_real2int | ( | Z3_context | c, |
Z3_ast | t1 | ||
) |
Coerce a real to an integer.
The semantics of this function follows the SMT-LIB standard for the function to_int
Z3_sort Z3_API Z3_mk_real_sort | ( | Z3_context | c | ) |
Create the real type.
Note that this type is not a floating point number.
Referenced by context::real_sort().
Z3_ast Z3_API Z3_mk_rem | ( | Z3_context | c, |
Z3_ast | arg1, | ||
Z3_ast | arg2 | ||
) |
Create an AST node representing arg1 rem arg2
.The arguments must have int type.
Z3_ast Z3_API Z3_mk_repeat | ( | Z3_context | c, |
unsigned | i, | ||
Z3_ast | t1 | ||
) |
Repeat the given bit-vector up length i
.
The node t1
must have a bit-vector sort.
Z3_ast Z3_API Z3_mk_rotate_left | ( | Z3_context | c, |
unsigned | i, | ||
Z3_ast | t1 | ||
) |
Rotate bits of t1
to the left i
times.
The node t1
must have a bit-vector sort.
Z3_ast Z3_API Z3_mk_rotate_right | ( | Z3_context | c, |
unsigned | i, | ||
Z3_ast | t1 | ||
) |
Rotate bits of t1
to the right i
times.
The node t1
must have a bit-vector sort.
Z3_ast Z3_API Z3_mk_select | ( | Z3_context | c, |
Z3_ast | a, | ||
Z3_ast | i | ||
) |
Array read. The argument a
is the array and i
is the index of the array that gets read.
The node a
must have an array sort [domain -> range]
, and i
must have the sort domain
. The sort of the result is range
.
Referenced by z3::select().
Z3_ast Z3_API Z3_mk_set_add | ( | Z3_context | c, |
Z3_ast | set, | ||
Z3_ast | elem | ||
) |
Add an element to a set.
The first argument must be a set, the second an element.
Z3_ast Z3_API Z3_mk_set_complement | ( | Z3_context | c, |
Z3_ast | arg | ||
) |
Take the complement of a set.
Z3_ast Z3_API Z3_mk_set_del | ( | Z3_context | c, |
Z3_ast | set, | ||
Z3_ast | elem | ||
) |
Remove an element to a set.
The first argument must be a set, the second an element.
Z3_ast Z3_API Z3_mk_set_difference | ( | Z3_context | c, |
Z3_ast | arg1, | ||
Z3_ast | arg2 | ||
) |
Take the set difference between two sets.
Z3_ast Z3_API Z3_mk_set_intersect | ( | Z3_context | c, |
unsigned | num_args, | ||
Z3_ast const | args[] | ||
) |
Take the intersection of a list of sets.
Z3_ast Z3_API Z3_mk_set_member | ( | Z3_context | c, |
Z3_ast | elem, | ||
Z3_ast | set | ||
) |
Check for set membership.
The first argument should be an element type of the set.
Z3_sort Z3_API Z3_mk_set_sort | ( | Z3_context | c, |
Z3_sort | ty | ||
) |
Create Set type.
Z3_ast Z3_API Z3_mk_set_subset | ( | Z3_context | c, |
Z3_ast | arg1, | ||
Z3_ast | arg2 | ||
) |
Check for subsetness of sets.
Z3_ast Z3_API Z3_mk_set_union | ( | Z3_context | c, |
unsigned | num_args, | ||
Z3_ast const | args[] | ||
) |
Take the union of a list of sets.
Z3_ast Z3_API Z3_mk_sign_ext | ( | Z3_context | c, |
unsigned | i, | ||
Z3_ast | t1 | ||
) |
Sign-extend of the given bit-vector to the (signed) equivalent bitvector of size m+i
, where m
is the size of the given bit-vector.
The node t1
must have a bit-vector sort.
Z3_solver Z3_API Z3_mk_simple_solver | ( | Z3_context | c | ) |
Create a new (incremental) solver.
The function Z3_solver_get_model retrieves a model if the assertions is satisfiable (i.e., the result is Z3_L_TRUE
) and model construction is enabled. The function Z3_solver_get_model can also be used even if the result is Z3_L_UNDEF
, but the returned model is not guaranteed to satisfy quantified assertions.
Referenced by z3py::SimpleSolver().
Z3_solver Z3_API Z3_mk_solver | ( | Z3_context | c | ) |
Create a new (incremental) solver. This solver also uses a set of builtin tactics for handling the first check-sat command, and check-sat commands that take more than a given number of milliseconds to be solved.
Referenced by solver::solver().
Z3_solver Z3_API Z3_mk_solver_for_logic | ( | Z3_context | c, |
Z3_symbol | logic | ||
) |
Create a new solver customized for the given logic. It behaves like Z3_mk_solver if the logic is unknown or unsupported.
Referenced by solver::solver(), and z3py::SolverFor().
Z3_solver Z3_API Z3_mk_solver_from_tactic | ( | Z3_context | c, |
Z3_tactic | t | ||
) |
Create a new solver that is implemented using the given tactic. The solver supports the commands Z3_solver_push and Z3_solver_pop, but it will always solve each Z3_solver_check from scratch.
Referenced by tactic::mk_solver(), and Tactic::solver().
Z3_ast Z3_API Z3_mk_store | ( | Z3_context | c, |
Z3_ast | a, | ||
Z3_ast | i, | ||
Z3_ast | v | ||
) |
Array update.
The node a
must have an array sort [domain -> range]
, i
must have sort domain
, v
must have sort range. The sort of the result is [domain -> range]
. The semantics of this function is given by the theory of arrays described in the SMT-LIB standard. See http://smtlib.org for more details. The result of this function is an array that is equal to a
(with respect to select
) on all indices except for i
, where it maps to v
(and the select
of a
with respect to i
may be a different value).
Referenced by z3::store().
Z3_symbol Z3_API Z3_mk_string_symbol | ( | Z3_context | c, |
Z3_string | s | ||
) |
Create a Z3 symbol using a C string.
Symbols are used to name several term and type constructors.
Referenced by context::enumeration_sort(), context::str_symbol(), z3py::to_symbol(), and context::uninterpreted_sort().
Z3_ast Z3_API Z3_mk_sub | ( | Z3_context | c, |
unsigned | num_args, | ||
Z3_ast const | args[] | ||
) |
Create an AST node representing args[0] - ... - args[num_args - 1]
.The array args
must have num_args
elements. All arguments must have int or real sort.
Z3_tactic Z3_API Z3_mk_tactic | ( | Z3_context | c, |
Z3_string | name | ||
) |
Return a tactic associated with the given name. The complete list of tactics may be obtained using the procedures Z3_get_num_tactics and Z3_get_tactic_name. It may also be obtained using the command (help-tactics)
in the SMT 2.0 front-end.
Tactics are the basic building block for creating custom solvers for specific problem domains.
Referenced by tactic::tactic().
Z3_theory Z3_API Z3_mk_theory | ( | Z3_context | c, |
Z3_string | th_name, | ||
Z3_theory_data | data | ||
) |
Create a new user defined theory. The new theory will be identified by the name th_name
. A theory must be created before asserting any assertion to the given context. Return NULL
in case of failure.
data
is a pointer to an external data-structure that may be used to store theory specific additional data.
Z3_ast Z3_API Z3_mk_true | ( | Z3_context | c | ) |
Create an AST node representing true
.
Referenced by context::bool_val().
Z3_sort Z3_API Z3_mk_tuple_sort | ( | Z3_context | c, |
Z3_symbol | mk_tuple_name, | ||
unsigned | num_fields, | ||
Z3_symbol const | field_names[], | ||
Z3_sort const | field_sorts[], | ||
Z3_func_decl * | mk_tuple_decl, | ||
Z3_func_decl | proj_decl[] | ||
) |
Create a tuple type.
A tuple with n
fields has a constructor and n
projections. This function will also declare the constructor and projection functions.
c | logical context |
mk_tuple_name | name of the constructor function associated with the tuple type. |
num_fields | number of fields in the tuple type. |
field_names | name of the projection functions. |
field_sorts | type of the tuple fields. |
mk_tuple_decl | output parameter that will contain the constructor declaration. |
proj_decl | output parameter that will contain the projection function declarations. This field must be a buffer of size num_fields allocated by the user. |
Z3_ast Z3_API Z3_mk_unary_minus | ( | Z3_context | c, |
Z3_ast | arg | ||
) |
Create an AST node representing -arg
.The arguments must have int or real type.
Z3_sort Z3_API Z3_mk_uninterpreted_sort | ( | Z3_context | c, |
Z3_symbol | s | ||
) |
Create a free (uninterpreted) type using the given name (symbol).
Two free types are considered the same iff the have the same name.
Referenced by z3py::DeclareSort(), and context::uninterpreted_sort().
Z3_ast Z3_API Z3_mk_unsigned_int | ( | Z3_context | c, |
unsigned | v, | ||
Z3_sort | ty | ||
) |
Create a numeral of a int, bit-vector, or finite-domain sort.
This function can be use to create numerals that fit in a machine unsinged integer. It is slightly faster than Z3_mk_numeral since it is not necessary to parse a string.
Referenced by context::bv_val(), context::int_val(), and context::real_val().
Z3_ast Z3_API Z3_mk_unsigned_int64 | ( | Z3_context | c, |
unsigned __int64 | v, | ||
Z3_sort | ty | ||
) |
Create a numeral of a int, bit-vector, or finite-domain sort.
This function can be use to create numerals that fit in a machine unsigned __int64 integer. It is slightly faster than Z3_mk_numeral since it is not necessary to parse a string.
Referenced by context::bv_val(), context::int_val(), and context::real_val().
Z3_ast Z3_API Z3_mk_xor | ( | Z3_context | c, |
Z3_ast | t1, | ||
Z3_ast | t2 | ||
) |
Create an AST node representing t1 xor t2
.
The nodes t1
and t2
must have Boolean sort.
Z3_ast Z3_API Z3_mk_zero_ext | ( | Z3_context | c, |
unsigned | i, | ||
Z3_ast | t1 | ||
) |
Extend the given bit-vector with zeros to the (unsigned) equivalent bitvector of size m+i
, where m
is the size of the given bit-vector.
The node t1
must have a bit-vector sort.
void Z3_API Z3_model_dec_ref | ( | Z3_context | c, |
Z3_model | m | ||
) |
Decrement the reference counter of the given model.
Referenced by model::operator=(), and model::~model().
Z3_bool Z3_API Z3_model_eval | ( | Z3_context | c, |
Z3_model | m, | ||
Z3_ast | t, | ||
Z3_bool | model_completion, | ||
Z3_ast * | v | ||
) |
Evaluate the AST node t
in the given model. Return Z3_TRUE
if succeeded, and store the result in v
.If model_completion
is Z3_TRUE, then Z3 will assign an interpretation for any constant or function that does not have an interpretation in m
. These constants and functions were essentially don't cares.
The evaluation may fail for the following reasons:
t
contains a quantifier.m
is partial, that is, it doesn't have a complete interpretation for uninterpreted functions. That is, the option MODEL_PARTIAL=true
was used.t
is type incorrect. Referenced by model::eval().
Z3_func_decl Z3_API Z3_model_get_const_decl | ( | Z3_context | c, |
Z3_model | m, | ||
unsigned | i | ||
) |
Return the i-th constant in the given model.
Referenced by model::get_const_decl().
Z3_ast Z3_API Z3_model_get_const_interp | ( | Z3_context | c, |
Z3_model | m, | ||
Z3_func_decl | a | ||
) |
Return the interpretation (i.e., assignment) of constant a
in the model m
. Return NULL
, if the model does not assign an interpretation for a
. That should be interpreted as: the value of a
does not matter.
Referenced by model::get_const_interp().
Z3_func_decl Z3_API Z3_model_get_func_decl | ( | Z3_context | c, |
Z3_model | m, | ||
unsigned | i | ||
) |
Return the declaration of the i-th function in the given model.
Referenced by model::get_func_decl().
Z3_func_interp Z3_API Z3_model_get_func_interp | ( | Z3_context | c, |
Z3_model | m, | ||
Z3_func_decl | f | ||
) |
Return the interpretation of the function f
in the model m
. Return NULL
, if the model does not assign an interpretation for f
. That should be interpreted as: the f
does not matter.
Referenced by model::get_func_interp().
unsigned Z3_API Z3_model_get_num_consts | ( | Z3_context | c, |
Z3_model | m | ||
) |
Return the number of constants assigned by the given model.
Referenced by model::num_consts().
unsigned Z3_API Z3_model_get_num_funcs | ( | Z3_context | c, |
Z3_model | m | ||
) |
Return the number of function interpretations in the given model.
A function interpretation is represented as a finite map and an 'else' value. Each entry in the finite map represents the value of a function given a set of arguments.
Referenced by model::num_funcs().
unsigned Z3_API Z3_model_get_num_sorts | ( | Z3_context | c, |
Z3_model | m | ||
) |
Return the number of uninterpreted sorts that m
assigs an interpretation to.
Z3 also provides an intepretation for uninterpreted sorts used in a formua. The interpretation for a sort s
is a finite set of distinct values. We say this finite set is the "universe" of s
.
Z3_sort Z3_API Z3_model_get_sort | ( | Z3_context | c, |
Z3_model | m, | ||
unsigned | i | ||
) |
Return a uninterpreted sort that m
assigns an interpretation.
Z3_ast_vector Z3_API Z3_model_get_sort_universe | ( | Z3_context | c, |
Z3_model | m, | ||
Z3_sort | s | ||
) |
Return the finite set of distinct values that represent the interpretation for sort s
.
Z3_bool Z3_API Z3_model_has_interp | ( | Z3_context | c, |
Z3_model | m, | ||
Z3_func_decl | a | ||
) |
Test if there exists an interpretation (i.e., assignment) for a
in the model m
.
void Z3_API Z3_model_inc_ref | ( | Z3_context | c, |
Z3_model | m | ||
) |
Increment the reference counter of the given model.
Referenced by model::operator=().
Z3_string Z3_API Z3_model_to_string | ( | Z3_context | c, |
Z3_model | m | ||
) |
Convert the given model into a string.
Z3_model_to_string
. Log interaction to a file.
Referenced by z3py::open_log().
void Z3_API Z3_optimize_assert | ( | Z3_context | c, |
Z3_optimize | o, | ||
Z3_ast | a | ||
) |
Assert hard constraint to the optimization context.
Referenced by optimize::add(), and Optimize::assert_exprs().
unsigned Z3_API Z3_optimize_assert_soft | ( | Z3_context | c, |
Z3_optimize | o, | ||
Z3_ast | a, | ||
Z3_string | weight, | ||
Z3_symbol | id | ||
) |
Assert soft constraint to the optimization context.
c | - context |
o | - optimization context |
a | - formula |
weight | - a positive weight, penalty for violating soft constraint |
id | - optional identifier to group soft constraints |
Referenced by optimize::add(), and Optimize::add_soft().
Z3_lbool Z3_API Z3_optimize_check | ( | Z3_context | c, |
Z3_optimize | o | ||
) |
Check consistency and produce optimal values.
c | - context |
o | - optimization context |
Referenced by optimize::check(), and Optimize::check().
void Z3_API Z3_optimize_dec_ref | ( | Z3_context | c, |
Z3_optimize | d | ||
) |
Decrement the reference counter of the given optimize context.
Referenced by Optimize::__del__(), and optimize::~optimize().
Z3_string Z3_API Z3_optimize_get_help | ( | Z3_context | c, |
Z3_optimize | t | ||
) |
Return a string containing a description of parameters accepted by optimize.
Referenced by optimize::help(), and Optimize::help().
Z3_ast Z3_API Z3_optimize_get_lower | ( | Z3_context | c, |
Z3_optimize | o, | ||
unsigned | idx | ||
) |
Retrieve lower bound value or approximation for the i'th optimization objective.
c | - context |
o | - optimization context |
idx | - index of optimization objective |
Referenced by optimize::lower(), and OptimizeObjective::lower().
Z3_model Z3_API Z3_optimize_get_model | ( | Z3_context | c, |
Z3_optimize | o | ||
) |
Retrieve the model for the last Z3_optimize_check.
The error handler is invoked if a model is not available because the commands above were not invoked for the given optimization solver, or if the result was Z3_L_FALSE
.
Referenced by optimize::get_model(), and Optimize::model().
Z3_param_descrs Z3_API Z3_optimize_get_param_descrs | ( | Z3_context | c, |
Z3_optimize | o | ||
) |
Return the parameter description set for the given optimize object.
c | - context |
o | - optimization context |
Referenced by Optimize::param_descrs().
Z3_string Z3_API Z3_optimize_get_reason_unknown | ( | Z3_context | c, |
Z3_optimize | d | ||
) |
Retrieve a string that describes the last status returned by Z3_optimize_check.
Use this method when Z3_optimize_check returns Z3_L_UNDEF.
Referenced by Optimize::reason_unknown().
Z3_stats Z3_API Z3_optimize_get_statistics | ( | Z3_context | c, |
Z3_optimize | d | ||
) |
Retrieve statistics information from the last call to Z3_optimize_check.
Referenced by optimize::statistics(), and Optimize::statistics().
Z3_ast Z3_API Z3_optimize_get_upper | ( | Z3_context | c, |
Z3_optimize | o, | ||
unsigned | idx | ||
) |
Retrieve upper bound value or approximation for the i'th optimization objective.
c | - context |
o | - optimization context |
idx | - index of optimization objective |
Referenced by optimize::upper(), and OptimizeObjective::upper().
void Z3_API Z3_optimize_inc_ref | ( | Z3_context | c, |
Z3_optimize | d | ||
) |
Increment the reference counter of the given optimize context.
Referenced by optimize::optimize().
unsigned Z3_API Z3_optimize_maximize | ( | Z3_context | c, |
Z3_optimize | o, | ||
Z3_ast | t | ||
) |
Add a maximization constraint.
c | - context |
o | - optimization context |
a | - arithmetical term |
Referenced by optimize::maximize(), and Optimize::maximize().
unsigned Z3_API Z3_optimize_minimize | ( | Z3_context | c, |
Z3_optimize | o, | ||
Z3_ast | t | ||
) |
Add a minimization constraint.
c | - context |
o | - optimization context |
a | - arithmetical term |
Referenced by optimize::minimize(), and Optimize::minimize().
void Z3_API Z3_optimize_pop | ( | Z3_context | c, |
Z3_optimize | d | ||
) |
Backtrack one level.
Referenced by optimize::pop(), and Optimize::pop().
void Z3_API Z3_optimize_push | ( | Z3_context | c, |
Z3_optimize | d | ||
) |
Create a backtracking point.
The optimize solver contains a set of rules, added facts and assertions. The set of rules, facts and assertions are restored upon calling Z3_optimize_pop.
Referenced by optimize::push(), and Optimize::push().
void Z3_API Z3_optimize_set_params | ( | Z3_context | c, |
Z3_optimize | o, | ||
Z3_params | p | ||
) |
Set parameters on optimization context.
c | - context |
o | - optimization context |
p | - parameters |
Referenced by optimize::set(), and Optimize::set().
Z3_string Z3_API Z3_optimize_to_string | ( | Z3_context | c, |
Z3_optimize | o | ||
) |
Print the current context as a string.
c | - context. |
o | - optimization context. |
Referenced by Optimize::sexpr().
void Z3_API Z3_param_descrs_dec_ref | ( | Z3_context | c, |
Z3_param_descrs | p | ||
) |
Decrement the reference counter of the given parameter description set.
Z3_param_kind Z3_API Z3_param_descrs_get_kind | ( | Z3_context | c, |
Z3_param_descrs | p, | ||
Z3_symbol | n | ||
) |
Return the kind associated with the given parameter name n
.
Z3_symbol Z3_API Z3_param_descrs_get_name | ( | Z3_context | c, |
Z3_param_descrs | p, | ||
unsigned | i | ||
) |
Return the number of parameters in the given parameter description set.
void Z3_API Z3_param_descrs_inc_ref | ( | Z3_context | c, |
Z3_param_descrs | p | ||
) |
Increment the reference counter of the given parameter description set.
unsigned Z3_API Z3_param_descrs_size | ( | Z3_context | c, |
Z3_param_descrs | p | ||
) |
Return the number of parameters in the given parameter description set.
Z3_string Z3_API Z3_param_descrs_to_string | ( | Z3_context | c, |
Z3_param_descrs | p | ||
) |
Convert a parameter description set into a string. This function is mainly used for printing the contents of a parameter description set.
void Z3_API Z3_params_dec_ref | ( | Z3_context | c, |
Z3_params | p | ||
) |
Decrement the reference counter of the given parameter set.
Referenced by params::operator=(), and params::~params().
void Z3_API Z3_params_inc_ref | ( | Z3_context | c, |
Z3_params | p | ||
) |
Increment the reference counter of the given parameter set.
Referenced by params::operator=(), and params::params().
void Z3_API Z3_params_set_bool | ( | Z3_context | c, |
Z3_params | p, | ||
Z3_symbol | k, | ||
Z3_bool | v | ||
) |
Add a Boolean parameter k
with value v
to the parameter set p
.
Referenced by params::set().
void Z3_API Z3_params_set_double | ( | Z3_context | c, |
Z3_params | p, | ||
Z3_symbol | k, | ||
double | v | ||
) |
Add a double parameter k
with value v
to the parameter set p
.
Referenced by params::set().
void Z3_API Z3_params_set_symbol | ( | Z3_context | c, |
Z3_params | p, | ||
Z3_symbol | k, | ||
Z3_symbol | v | ||
) |
Add a symbol parameter k
with value v
to the parameter set p
.
Referenced by params::set().
void Z3_API Z3_params_set_uint | ( | Z3_context | c, |
Z3_params | p, | ||
Z3_symbol | k, | ||
unsigned | v | ||
) |
Add a unsigned parameter k
with value v
to the parameter set p
.
Referenced by params::set().
Z3_string Z3_API Z3_params_to_string | ( | Z3_context | c, |
Z3_params | p | ||
) |
Convert a parameter set into a string. This function is mainly used for printing the contents of a parameter set.
void Z3_API Z3_params_validate | ( | Z3_context | c, |
Z3_params | p, | ||
Z3_param_descrs | d | ||
) |
Validate the parameter set p
against the parameter description set d
.
The procedure invokes the error handler if p
is invalid.
Z3_ast Z3_API Z3_parse_smtlib2_file | ( | Z3_context | c, |
Z3_string | file_name, | ||
unsigned | num_sorts, | ||
Z3_symbol const | sort_names[], | ||
Z3_sort const | sorts[], | ||
unsigned | num_decls, | ||
Z3_symbol const | decl_names[], | ||
Z3_func_decl const | decls[] | ||
) |
Similar to Z3_parse_smtlib2_string, but reads the benchmark from a file.
Z3_ast Z3_API Z3_parse_smtlib2_string | ( | Z3_context | c, |
Z3_string | str, | ||
unsigned | num_sorts, | ||
Z3_symbol const | sort_names[], | ||
Z3_sort const | sorts[], | ||
unsigned | num_decls, | ||
Z3_symbol const | decl_names[], | ||
Z3_func_decl const | decls[] | ||
) |
Parse the given string using the SMT-LIB2 parser.
It returns a formula comprising of the conjunction of assertions in the scope (up to push/pop) at the end of the string.
void Z3_API Z3_parse_smtlib_file | ( | Z3_context | c, |
Z3_string | file_name, | ||
unsigned | num_sorts, | ||
Z3_symbol const | sort_names[], | ||
Z3_sort const | sorts[], | ||
unsigned | num_decls, | ||
Z3_symbol const | decl_names[], | ||
Z3_func_decl const | decls[] | ||
) |
Similar to Z3_parse_smtlib_string, but reads the benchmark from a file.
void Z3_API Z3_parse_smtlib_string | ( | Z3_context | c, |
Z3_string | str, | ||
unsigned | num_sorts, | ||
Z3_symbol const | sort_names[], | ||
Z3_sort const | sorts[], | ||
unsigned | num_decls, | ||
Z3_symbol const | decl_names[], | ||
Z3_func_decl const | decls[] | ||
) |
Parse the given string using the SMT-LIB parser.
The symbol table of the parser can be initialized using the given sorts and declarations. The symbols in the arrays sort_names
and decl_names
don't need to match the names of the sorts and declarations in the arrays sorts
and decls
. This is an useful feature since we can use arbitrary names to reference sorts and declarations defined using the C API.
The formulas, assumptions and declarations defined in str
can be extracted using the functions: Z3_get_smtlib_num_formulas, Z3_get_smtlib_formula, Z3_get_smtlib_num_assumptions, Z3_get_smtlib_assumption, Z3_get_smtlib_num_decls, and Z3_get_smtlib_decl.
Z3_ast Z3_API Z3_pattern_to_ast | ( | Z3_context | c, |
Z3_pattern | p | ||
) |
Convert a Z3_pattern into Z3_ast. This is just type casting.
Z3_string Z3_API Z3_pattern_to_string | ( | Z3_context | c, |
Z3_pattern | p | ||
) |
void Z3_API Z3_persist_ast | ( | Z3_context | c, |
Z3_ast | a, | ||
unsigned | num_scopes | ||
) |
Persist AST through num_scopes pops. This function is only relevant if c
was created using Z3_mk_context. If c
was created using Z3_mk_context_rc, this function is a NOOP.
Normally, for contexts created using Z3_mk_context, references to terms are no longer valid when popping scopes beyond the level where the terms are created. If you want to reference a term below the scope where it was created, use this method to specify how many pops the term should survive. The num_scopes should be at most equal to the number of calls to Z3_push subtracted with the calls to Z3_pop.
Z3_ast_vector Z3_API Z3_polynomial_subresultants | ( | Z3_context | c, |
Z3_ast | p, | ||
Z3_ast | q, | ||
Z3_ast | x | ||
) |
Return the nonzero subresultants of p
and q
with respect to the "variable" x
.
p
, q
and x
are Z3 expressions where p
and q
are arithmetic terms. Note that, any subterm that cannot be viewed as a polynomial is assumed to be a variable. Example: f(a) is a considered to be a variable in the polynomialf(a)*f(a) + 2*f(a) + 1
void Z3_API Z3_pop | ( | Z3_context | c, |
unsigned | num_scopes | ||
) |
Backtrack.
Restores the context from the top of the stack, and pops it off the stack. Any changes to the logical context (by Z3_assert_cnstr or other functions) between the matching Z3_push and Z3_pop
operators are flushed, and the context is completely restored to what it was right before the Z3_push.
Z3_probe Z3_API Z3_probe_and | ( | Z3_context | x, |
Z3_probe | p1, | ||
Z3_probe | p2 | ||
) |
Return a probe that evaluates to "true" when p1
and p2
evaluates to true.
double Z3_API Z3_probe_apply | ( | Z3_context | c, |
Z3_probe | p, | ||
Z3_goal | g | ||
) |
Execute the probe over the goal. The probe always produce a double value. "Boolean" probes return 0.0 for false, and a value different from 0.0 for true.
Referenced by Probe::__call__(), and probe::apply().
Z3_probe Z3_API Z3_probe_const | ( | Z3_context | x, |
double | val | ||
) |
Return a probe that always evaluates to val.
Referenced by probe::probe().
void Z3_API Z3_probe_dec_ref | ( | Z3_context | c, |
Z3_probe | p | ||
) |
Decrement the reference counter of the given probe.
Referenced by Probe::__del__(), probe::operator=(), and probe::~probe().
Z3_probe Z3_API Z3_probe_eq | ( | Z3_context | x, |
Z3_probe | p1, | ||
Z3_probe | p2 | ||
) |
Return a probe that evaluates to "true" when the value returned by p1
is equal to the value returned by p2
.
Referenced by Probe::__eq__().
Z3_probe Z3_API Z3_probe_ge | ( | Z3_context | x, |
Z3_probe | p1, | ||
Z3_probe | p2 | ||
) |
Return a probe that evaluates to "true" when the value returned by p1
is greater than or equal to the value returned by p2
.
Referenced by Probe::__ge__().
Return a string containing a description of the probe with the given name.
Referenced by z3py::probe_description().
Z3_probe Z3_API Z3_probe_gt | ( | Z3_context | x, |
Z3_probe | p1, | ||
Z3_probe | p2 | ||
) |
Return a probe that evaluates to "true" when the value returned by p1
is greater than the value returned by p2
.
Referenced by Probe::__gt__().
void Z3_API Z3_probe_inc_ref | ( | Z3_context | c, |
Z3_probe | p | ||
) |
Increment the reference counter of the given probe.
Referenced by probe::operator=().
Z3_probe Z3_API Z3_probe_le | ( | Z3_context | x, |
Z3_probe | p1, | ||
Z3_probe | p2 | ||
) |
Return a probe that evaluates to "true" when the value returned by p1
is less than or equal to the value returned by p2
.
Referenced by Probe::__le__().
Z3_probe Z3_API Z3_probe_lt | ( | Z3_context | x, |
Z3_probe | p1, | ||
Z3_probe | p2 | ||
) |
Return a probe that evaluates to "true" when the value returned by p1
is less than the value returned by p2
.
Referenced by Probe::__lt__().
Z3_probe Z3_API Z3_probe_not | ( | Z3_context | x, |
Z3_probe | p | ||
) |
Return a probe that evaluates to "true" when p
does not evaluate to true.
Referenced by Probe::__ne__().
Z3_probe Z3_API Z3_probe_or | ( | Z3_context | x, |
Z3_probe | p1, | ||
Z3_probe | p2 | ||
) |
Return a probe that evaluates to "true" when p1
or p2
evaluates to true.
void Z3_API Z3_push | ( | Z3_context | c | ) |
Create a backtracking point.
The logical context can be viewed as a stack of contexts. The scope level is the number of elements on this stack. The stack of contexts is simulated using trail (undo) stacks.
void Z3_API Z3_query_constructor | ( | Z3_context | c, |
Z3_constructor | constr, | ||
unsigned | num_fields, | ||
Z3_func_decl * | constructor, | ||
Z3_func_decl * | tester, | ||
Z3_func_decl | accessors[] | ||
) |
Query constructor for declared functions.
c | logical context. |
constr | constructor container. The container must have been passed in to a Z3_mk_datatype call. |
num_fields | number of accessor fields in the constructor. |
constructor | constructor function declaration. |
tester | constructor test function declaration. |
accessors | array of accessor function declarations. |
Z3_rcf_num Z3_API Z3_rcf_add | ( | Z3_context | c, |
Z3_rcf_num | a, | ||
Z3_rcf_num | b | ||
) |
Return the value a + b.
void Z3_API Z3_rcf_del | ( | Z3_context | c, |
Z3_rcf_num | a | ||
) |
Delete a RCF numeral created using the RCF API.
Z3_rcf_num Z3_API Z3_rcf_div | ( | Z3_context | c, |
Z3_rcf_num | a, | ||
Z3_rcf_num | b | ||
) |
Return the value a / b.
Z3_bool Z3_API Z3_rcf_eq | ( | Z3_context | c, |
Z3_rcf_num | a, | ||
Z3_rcf_num | b | ||
) |
Return Z3_TRUE if a == b.
Z3_bool Z3_API Z3_rcf_ge | ( | Z3_context | c, |
Z3_rcf_num | a, | ||
Z3_rcf_num | b | ||
) |
Return Z3_TRUE if a >= b.
void Z3_API Z3_rcf_get_numerator_denominator | ( | Z3_context | c, |
Z3_rcf_num | a, | ||
Z3_rcf_num * | n, | ||
Z3_rcf_num * | d | ||
) |
Extract the "numerator" and "denominator" of the given RCF numeral. We have that a = n/d, moreover n and d are not represented using rational functions.
Z3_bool Z3_API Z3_rcf_gt | ( | Z3_context | c, |
Z3_rcf_num | a, | ||
Z3_rcf_num | b | ||
) |
Return Z3_TRUE if a > b.
Z3_rcf_num Z3_API Z3_rcf_inv | ( | Z3_context | c, |
Z3_rcf_num | a | ||
) |
Return the value 1/a.
Z3_bool Z3_API Z3_rcf_le | ( | Z3_context | c, |
Z3_rcf_num | a, | ||
Z3_rcf_num | b | ||
) |
Return Z3_TRUE if a <= b.
Z3_bool Z3_API Z3_rcf_lt | ( | Z3_context | c, |
Z3_rcf_num | a, | ||
Z3_rcf_num | b | ||
) |
Return Z3_TRUE if a < b.
Z3_rcf_num Z3_API Z3_rcf_mk_e | ( | Z3_context | c | ) |
Return e (Euler's constant)
Z3_rcf_num Z3_API Z3_rcf_mk_infinitesimal | ( | Z3_context | c | ) |
Return a new infinitesimal that is smaller than all elements in the Z3 field.
Z3_rcf_num Z3_API Z3_rcf_mk_pi | ( | Z3_context | c | ) |
Return Pi.
Z3_rcf_num Z3_API Z3_rcf_mk_rational | ( | Z3_context | c, |
Z3_string | val | ||
) |
Return a RCF rational using the given string.
unsigned Z3_API Z3_rcf_mk_roots | ( | Z3_context | c, |
unsigned | n, | ||
Z3_rcf_num const | a[], | ||
Z3_rcf_num | roots[] | ||
) |
Store in roots the roots of the polynomial a[n-1]*x^{n-1} + ... + a[0]
. The output vector roots
must have size n
. It returns the number of roots of the polynomial.
Z3_rcf_num Z3_API Z3_rcf_mk_small_int | ( | Z3_context | c, |
int | val | ||
) |
Return a RCF small integer.
Z3_rcf_num Z3_API Z3_rcf_mul | ( | Z3_context | c, |
Z3_rcf_num | a, | ||
Z3_rcf_num | b | ||
) |
Return the value a * b.
Z3_rcf_num Z3_API Z3_rcf_neg | ( | Z3_context | c, |
Z3_rcf_num | a | ||
) |
Return the value -a.
Z3_bool Z3_API Z3_rcf_neq | ( | Z3_context | c, |
Z3_rcf_num | a, | ||
Z3_rcf_num | b | ||
) |
Return Z3_TRUE if a != b.
Z3_string Z3_API Z3_rcf_num_to_decimal_string | ( | Z3_context | c, |
Z3_rcf_num | a, | ||
unsigned | prec | ||
) |
Convert the RCF numeral into a string in decimal notation.
Convert the RCF numeral into a string.
Z3_rcf_num Z3_API Z3_rcf_power | ( | Z3_context | c, |
Z3_rcf_num | a, | ||
unsigned | k | ||
) |
Return the value a^k.
Z3_rcf_num Z3_API Z3_rcf_sub | ( | Z3_context | c, |
Z3_rcf_num | a, | ||
Z3_rcf_num | b | ||
) |
Return the value a - b.
int Z3_API Z3_read_interpolation_problem | ( | Z3_context | ctx, |
unsigned * | num, | ||
Z3_ast * | cnsts[], | ||
unsigned * | parents[], | ||
Z3_string | filename, | ||
Z3_string_ptr | error, | ||
unsigned * | num_theory, | ||
Z3_ast * | theory[] | ||
) |
Read an interpolation problem from file.
ctx | The Z3 context. This resets the error handler of ctx. |
filename | The file name to read. |
num | Returns length of sequence. |
cnsts | Returns sequence of formulas (do not free) |
parents | Returns the parents vector (or NULL for sequence) |
error | Returns an error message in case of failure (do not free the string) |
num_theory | Number of theory terms |
theory | Theory terms |
Returns true on success.
File formats: Currently two formats are supported, based on SMT-LIB2. For sequence interpolants, the sequence of constraints is represented by the sequence of "assert" commands in the file.
For tree interpolants, one symbol of type bool is associated to each vertex of the tree. For each vertex v there is an "assert" of the form:
(implies (and c1 ... cn f) v)
where c1 .. cn are the children of v (which must precede v in the file) and f is the formula assiciated to node v. The last formula in the file is the root vertex, and is represented by the predicate "false".
A solution to a tree interpolation problem can be thought of as a valuation of the vertices that makes all the implications true where each value is represented using the common symbols between the formulas in the subtree and the remainder of the formulas.
void Z3_API Z3_reset_memory | ( | void | ) |
Reset all allocated resources.
Use this facility on out-of memory errors. It allows discharging the previous state and resuming afresh. Any pointers previously returned by the API become invalid.
void Z3_API Z3_set_ast_print_mode | ( | Z3_context | c, |
Z3_ast_print_mode | mode | ||
) |
Select mode for the format used for pretty-printing AST nodes.
The default mode for pretty printing AST nodes is to produce SMT-LIB style output where common subexpressions are printed at each occurrence. The mode is called Z3_PRINT_SMTLIB_FULL. To print shared common subexpressions only once, use the Z3_PRINT_LOW_LEVEL mode. To print in way that conforms to SMT-LIB standards and uses let expressions to share common sub-expressions use Z3_PRINT_SMTLIB_COMPLIANT.
void Z3_API Z3_set_delete_callback | ( | Z3_theory | t, |
Z3_theory_callback_fptr | f | ||
) |
Set a callback that is invoked when theory t
is deleted. This callback should be used to delete external data-structures associated with the given theory.
The callback has the form f(t)
, where
t
is the given theoryvoid Z3_API Z3_set_error | ( | Z3_context | c, |
Z3_error_code | e | ||
) |
Set an error.
void Z3_API Z3_set_error_handler | ( | Z3_context | c, |
Z3_error_handler | h | ||
) |
Register a Z3 error handler.
A call to a Z3 function may return a non Z3_OK error code, when it is not used correctly. An error handler can be registered and will be called in this case. To disable the use of the error handler, simply register with h=NULL
.
void Z3_API Z3_set_final_check_callback | ( | Z3_theory | t, |
Z3_theory_final_check_callback_fptr | f | ||
) |
Set a callback that is invoked before Z3 starts building a model. A theory may use this callback to perform expensive operations.
The callback has the form f(t)
, where
t
is the given theoryIf the theory returns Z3_false
, Z3 will assume that theory is giving up, and it will assume that it was not possible to decide if the asserted constraints are satisfiable or not.
void Z3_API Z3_set_init_search_callback | ( | Z3_theory | t, |
Z3_theory_callback_fptr | f | ||
) |
Set a callback that is invoked when Z3 starts searching for a satisfying assignment.
The callback has the form f(t)
, where
t
is the given theory Set the SMTLIB logic to be used in the given logical context. It is incorrect to invoke this function after invoking Z3_check, Z3_check_and_get_model, Z3_check_assumptions and Z3_push. Return Z3_TRUE
if the logic was changed successfully, and Z3_FALSE
otherwise.
void Z3_API Z3_set_new_app_callback | ( | Z3_theory | t, |
Z3_theory_ast_callback_fptr | f | ||
) |
Set a callback that is invoked when a theory application is finally added into the logical context. Note that, not every application contained in an asserted expression is actually added into the logical context because it may be simplified during a preprocessing step.
The callback has the form f(t, n)
, where
t
is the given theoryn
is a theory application, that is, an expression of the form g(...)
where g
is a theory operator.n
added to the logical context at search level n
, will remain in the logical context until this level is backtracked. void Z3_API Z3_set_new_assignment_callback | ( | Z3_theory | t, |
Z3_theory_ast_bool_callback_fptr | f | ||
) |
Set a callback that is invoked when a theory predicate is assigned to true/false by Z3.
The callback has the form f(t, p, v)
, where:
t
is the given theoryp
is the assigned predicate.v
is the value (true/false) assigned to p
. void Z3_API Z3_set_new_diseq_callback | ( | Z3_theory | t, |
Z3_theory_ast_ast_callback_fptr | f | ||
) |
Set a callback that is invoked when a disequality s_1 != s_2
is found by the logical context.
The callback has the form f(t, s_1, s_2)
, where:
t
is the given theorys_1
is the left-hand-sides_2
is the right-hand-side void Z3_API Z3_set_new_elem_callback | ( | Z3_theory | t, |
Z3_theory_ast_callback_fptr | f | ||
) |
Set a callback that is invoked when an expression of sort s
, where s
is an interpreted sort of the theory t
, is finally added into the logical context. Note that, not every expression contained in an asserted expression is actually added into the logical context because it may be simplified during a preprocessing step.
The callback has the form f(t, n)
, where
t
is the given theoryn
is an expression of sort s
, where s
is an interpreted sort of t
.n
added to the logical context at search level n
, will remain in the logical context until this level is backtracked. void Z3_API Z3_set_new_eq_callback | ( | Z3_theory | t, |
Z3_theory_ast_ast_callback_fptr | f | ||
) |
Set a callback that is invoked when an equality s_1 = s_2
is found by the logical context.
The callback has the form f(t, s_1, s_2)
, where:
t
is the given theorys_1
is the left-hand-sides_2
is the right-hand-side void Z3_API Z3_set_new_relevant_callback | ( | Z3_theory | t, |
Z3_theory_ast_callback_fptr | f | ||
) |
Set a callback that is invoked when an expression is marked as relevant during the search. This callback is only invoked when relevancy propagation is enabled.
The callback has the form f(t, n)
, where:
t
is the given theoryn
is the relevant expression Set a configuration parameter.
The following parameters can be set for
Referenced by Context::__init__(), and config::set().
void Z3_API Z3_set_pop_callback | ( | Z3_theory | t, |
Z3_theory_callback_fptr | f | ||
) |
Set a callback that is invoked when Z3 backtracks a case-split.
When a case-split is backtracked we say the search level is decreased.
The callback has the form f(t)
, where
t
is the given theory void Z3_API Z3_set_push_callback | ( | Z3_theory | t, |
Z3_theory_callback_fptr | f | ||
) |
Set a callback that is invoked when Z3 creates a case-split (aka backtracking point).
When a case-split is created we say the search level is increased.
The callback has the form f(t)
, where
t
is the given theory void Z3_API Z3_set_reduce_app_callback | ( | Z3_theory | t, |
Z3_reduce_app_callback_fptr | f | ||
) |
Set a callback for simplifying operators of the given theory. The callback f
is invoked by Z3's simplifier.
It is of the form f(t, d, n, args, r)
, where:
t
is the given theoryd
is the declaration of the theory operatorn
is the number of arguments in the array args
args
are arguments for the theory operatorr
should contain the result: an expression equivalent to d(args[0], ..., args[n-1])
.If f(t, d, n, args, r)
returns false, then r
is ignored, and Z3 assumes that no simplification was performed.
void Z3_API Z3_set_reduce_distinct_callback | ( | Z3_theory | t, |
Z3_reduce_distinct_callback_fptr | f | ||
) |
Set a callback for simplifying the atom distinct(s_1, ..., s_n)
, when the sort of s_1
, ..., s_n
is an interpreted sort of the given theory. The callback f
is invoked by Z3's simplifier.
It has the form f(t, n, args, r)
, where:
t
is the given theoryn
is the number of arguments in the array args
args
are arguments for distinct.r
should contain the result: an expression equivalent to distinct(s_1, ..., s_n)
.If f(t, n, args, r)
returns false, then r
is ignored, and Z3 assumes that no simplification was performed.
void Z3_API Z3_set_reduce_eq_callback | ( | Z3_theory | t, |
Z3_reduce_eq_callback_fptr | f | ||
) |
Set a callback for simplifying the atom s_1 = s_2
, when the sort of s_1
and s_2
is an interpreted sort of the given theory. The callback f
is invoked by Z3's simplifier.
It has the form f(t, s_1, s_2, r)
, where:
t
is the given theorys_1
is the left-hand-sides_2
is the right-hand-sider
should contain the result: an expression equivalent to s_1 = s_2
.If f(t, s_1, s_2, r)
returns false, then r
is ignored, and Z3 assumes that no simplification was performed.
void Z3_API Z3_set_reset_callback | ( | Z3_theory | t, |
Z3_theory_callback_fptr | f | ||
) |
Set a callback that is invoked when the logical context is reset by the user. This callback is useful for reseting any data-structure maintained by the user theory solver.
The callback has the form f(t)
, where
t
is the given theory void Z3_API Z3_set_restart_callback | ( | Z3_theory | t, |
Z3_theory_callback_fptr | f | ||
) |
Set a callback that is invoked when Z3 restarts the search for a satisfying assignment.
The callback has the form f(t)
, where
t
is the given theory Z3_ast Z3_API Z3_simplify | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Interface to simplifier.
Provides an interface to the AST simplifier used by Z3.
Referenced by expr::simplify(), and z3py::simplify().
Z3_ast Z3_API Z3_simplify_ex | ( | Z3_context | c, |
Z3_ast | a, | ||
Z3_params | p | ||
) |
Interface to simplifier.
Provides an interface to the AST simplifier used by Z3. This procedure is similar to Z3_simplify, but the behavior of the simplifier can be configured using the given parameter set.
Referenced by expr::simplify(), and z3py::simplify().
Z3_string Z3_API Z3_simplify_get_help | ( | Z3_context | c | ) |
Return a string describing all available parameters.
Referenced by z3py::help_simplify().
Z3_param_descrs Z3_API Z3_simplify_get_param_descrs | ( | Z3_context | c | ) |
Return the parameter description set for the simplify procedure.
Referenced by z3py::simplify_param_descrs().
void Z3_API Z3_soft_check_cancel | ( | Z3_context | c | ) |
Cancel an ongoing check.
Notifies the current check to abort and return. This method should be called from a different thread than the one performing the check.
void Z3_API Z3_solver_assert | ( | Z3_context | c, |
Z3_solver | s, | ||
Z3_ast | a | ||
) |
Assert a constraint into the solver.
The functions Z3_solver_check and Z3_solver_check_assumptions should be used to check whether the logical context is consistent or not.
Referenced by solver::add().
void Z3_API Z3_solver_assert_and_track | ( | Z3_context | c, |
Z3_solver | s, | ||
Z3_ast | a, | ||
Z3_ast | p | ||
) |
Assert a constraint a
into the solver, and track it (in the unsat) core using the Boolean constant p
.
This API is an alternative to Z3_solver_check_assumptions for extracting unsat cores. Both APIs can be used in the same solver. The unsat core will contain a combination of the Boolean variables provided using Z3_solver_assert_and_track and the Boolean literals provided using Z3_solver_check_assumptions.
a
must be a Boolean expression p
must be a Boolean constant (aka variable). Referenced by solver::add().
Z3_lbool Z3_API Z3_solver_check | ( | Z3_context | c, |
Z3_solver | s | ||
) |
Check whether the assertions in a given solver are consistent or not.
The function Z3_solver_get_model retrieves a model if the assertions is satisfiable (i.e., the result is Z3_L_TRUE
) and model construction is enabled. Note that if the call returns Z3_L_UNDEF, Z3 does not ensure that calls to Z3_solver_get_model succeed and any models produced in this case are not guaranteed to satisfy the assertions.
The function Z3_solver_get_proof retrieves a proof if proof generation was enabled when the context was created, and the assertions are unsatisfiable (i.e., the result is Z3_L_FALSE
).
Referenced by solver::check().
Z3_lbool Z3_API Z3_solver_check_assumptions | ( | Z3_context | c, |
Z3_solver | s, | ||
unsigned | num_assumptions, | ||
Z3_ast const | assumptions[] | ||
) |
Check whether the assertions in the given solver and optional assumptions are consistent or not.
The function Z3_solver_get_unsat_core retrieves the subset of the assumptions used in the unsatisfiability proof produced by Z3.
Referenced by solver::check().
void Z3_API Z3_solver_dec_ref | ( | Z3_context | c, |
Z3_solver | s | ||
) |
Decrement the reference counter of the given solver.
Referenced by solver::operator=(), and solver::~solver().
Z3_ast_vector Z3_API Z3_solver_get_assertions | ( | Z3_context | c, |
Z3_solver | s | ||
) |
Return the set of asserted formulas as a goal object.
Referenced by solver::assertions().
Z3_string Z3_API Z3_solver_get_help | ( | Z3_context | c, |
Z3_solver | s | ||
) |
Return a string describing all solver available parameters.
Z3_model Z3_API Z3_solver_get_model | ( | Z3_context | c, |
Z3_solver | s | ||
) |
Retrieve the model for the last Z3_solver_check or Z3_solver_check_assumptions.
The error handler is invoked if a model is not available because the commands above were not invoked for the given solver, or if the result was Z3_L_FALSE
.
Referenced by solver::get_model().
unsigned Z3_API Z3_solver_get_num_scopes | ( | Z3_context | c, |
Z3_solver | s | ||
) |
Return the number of backtracking points.
Z3_param_descrs Z3_API Z3_solver_get_param_descrs | ( | Z3_context | c, |
Z3_solver | s | ||
) |
Return the parameter description set for the given solver object.
Z3_ast Z3_API Z3_solver_get_proof | ( | Z3_context | c, |
Z3_solver | s | ||
) |
Retrieve the proof for the last Z3_solver_check or Z3_solver_check_assumptions.
The error handler is invoked if proof generation is not enabled, or if the commands above were not invoked for the given solver, or if the result was different from Z3_L_FALSE
.
Referenced by solver::proof().
Z3_string Z3_API Z3_solver_get_reason_unknown | ( | Z3_context | c, |
Z3_solver | s | ||
) |
Return a brief justification for an "unknown" result (i.e., Z3_L_UNDEF) for the commands Z3_solver_check and Z3_solver_check_assumptions.
Referenced by solver::reason_unknown().
Z3_stats Z3_API Z3_solver_get_statistics | ( | Z3_context | c, |
Z3_solver | s | ||
) |
Return statistics for the given solver.
Referenced by solver::statistics().
Z3_ast_vector Z3_API Z3_solver_get_unsat_core | ( | Z3_context | c, |
Z3_solver | s | ||
) |
Retrieve the unsat core for the last Z3_solver_check_assumptions The unsat core is a subset of the assumptions a
.
Referenced by solver::unsat_core().
void Z3_API Z3_solver_inc_ref | ( | Z3_context | c, |
Z3_solver | s | ||
) |
Increment the reference counter of the given solver.
Referenced by solver::operator=().
void Z3_API Z3_solver_pop | ( | Z3_context | c, |
Z3_solver | s, | ||
unsigned | n | ||
) |
Backtrack n
backtracking points.
Referenced by solver::pop().
void Z3_API Z3_solver_push | ( | Z3_context | c, |
Z3_solver | s | ||
) |
Create a backtracking point.
The solver contains a stack of assertions.
Referenced by solver::push().
void Z3_API Z3_solver_reset | ( | Z3_context | c, |
Z3_solver | s | ||
) |
Remove all assertions from the solver.
Referenced by solver::reset().
void Z3_API Z3_solver_set_params | ( | Z3_context | c, |
Z3_solver | s, | ||
Z3_params | p | ||
) |
Set the given solver using the given parameters.
Referenced by solver::set().
Z3_string Z3_API Z3_solver_to_string | ( | Z3_context | c, |
Z3_solver | s | ||
) |
Convert a solver into a string.
Z3_ast Z3_API Z3_sort_to_ast | ( | Z3_context | c, |
Z3_sort | s | ||
) |
Convert a Z3_sort
into Z3_ast
. This is just type casting.
Referenced by SortRef::as_ast().
Z3_string Z3_API Z3_sort_to_string | ( | Z3_context | c, |
Z3_sort | s | ||
) |
Z3_string Z3_API Z3_statistics_to_string | ( | Z3_context | c | ) |
Return runtime statistics as a string.
This function is mainly used for debugging purposes. It displays statistics of the search activity.
Z3_context_to_string
.void Z3_API Z3_stats_dec_ref | ( | Z3_context | c, |
Z3_stats | s | ||
) |
Decrement the reference counter of the given statistics object.
Referenced by stats::operator=(), and stats::~stats().
double Z3_API Z3_stats_get_double_value | ( | Z3_context | c, |
Z3_stats | s, | ||
unsigned | idx | ||
) |
Return the double value of the given statistical data.
Referenced by stats::double_value().
Z3_string Z3_API Z3_stats_get_key | ( | Z3_context | c, |
Z3_stats | s, | ||
unsigned | idx | ||
) |
Return the key (a string) for a particular statistical data.
Referenced by stats::key().
unsigned Z3_API Z3_stats_get_uint_value | ( | Z3_context | c, |
Z3_stats | s, | ||
unsigned | idx | ||
) |
Return the unsigned value of the given statistical data.
Referenced by stats::uint_value().
void Z3_API Z3_stats_inc_ref | ( | Z3_context | c, |
Z3_stats | s | ||
) |
Increment the reference counter of the given statistics object.
Referenced by stats::operator=().
Z3_bool Z3_API Z3_stats_is_double | ( | Z3_context | c, |
Z3_stats | s, | ||
unsigned | idx | ||
) |
Return Z3_TRUE if the given statistical data is a double.
Referenced by stats::is_double().
Z3_bool Z3_API Z3_stats_is_uint | ( | Z3_context | c, |
Z3_stats | s, | ||
unsigned | idx | ||
) |
Return Z3_TRUE if the given statistical data is a unsigned integer.
Referenced by stats::is_uint().
unsigned Z3_API Z3_stats_size | ( | Z3_context | c, |
Z3_stats | s | ||
) |
Return the number of statistical data in s
.
Referenced by stats::size().
Z3_string Z3_API Z3_stats_to_string | ( | Z3_context | c, |
Z3_stats | s | ||
) |
Convert a statistics into a string.
Z3_ast Z3_API Z3_substitute | ( | Z3_context | c, |
Z3_ast | a, | ||
unsigned | num_exprs, | ||
Z3_ast const | from[], | ||
Z3_ast const | to[] | ||
) |
Substitute every occurrence of from[i]
in a
with to[i]
, for i
smaller than num_exprs
. The result is the new AST. The arrays from
and to
must have size num_exprs
. For every i
smaller than num_exprs
, we must have that sort of from[i]
must be equal to sort of to[i]
.
Referenced by expr::substitute(), and z3py::substitute().
Z3_ast Z3_API Z3_substitute_vars | ( | Z3_context | c, |
Z3_ast | a, | ||
unsigned | num_exprs, | ||
Z3_ast const | to[] | ||
) |
Substitute the free variables in a
with the expressions in to
. For every i
smaller than num_exprs
, the variable with de-Bruijn index i
is replaced with term to[i]
.
Referenced by expr::substitute(), and z3py::substitute_vars().
Z3_tactic Z3_API Z3_tactic_and_then | ( | Z3_context | c, |
Z3_tactic | t1, | ||
Z3_tactic | t2 | ||
) |
Return a tactic that applies t1
to a given goal and t2
to every subgoal produced by t1.
Referenced by Tactic::param_descrs().
Z3_apply_result Z3_API Z3_tactic_apply | ( | Z3_context | c, |
Z3_tactic | t, | ||
Z3_goal | g | ||
) |
Apply tactic t
to the goal g
.
Referenced by tactic::apply(), and Tactic::apply().
Z3_apply_result Z3_API Z3_tactic_apply_ex | ( | Z3_context | c, |
Z3_tactic | t, | ||
Z3_goal | g, | ||
Z3_params | p | ||
) |
Apply tactic t
to the goal g
using the parameter set p
.
Referenced by Tactic::apply().
Z3_tactic Z3_API Z3_tactic_cond | ( | Z3_context | c, |
Z3_probe | p, | ||
Z3_tactic | t1, | ||
Z3_tactic | t2 | ||
) |
Return a tactic that applies t1
to a given goal if the probe p
evaluates to true, and t2
if p
evaluates to false.
Referenced by z3::cond(), and z3py::Cond().
void Z3_API Z3_tactic_dec_ref | ( | Z3_context | c, |
Z3_tactic | g | ||
) |
Decrement the reference counter of the given tactic.
Referenced by Tactic::__del__(), tactic::operator=(), and tactic::~tactic().
Z3_tactic Z3_API Z3_tactic_fail | ( | Z3_context | c | ) |
Return a tactic that always fails.
Z3_tactic Z3_API Z3_tactic_fail_if | ( | Z3_context | c, |
Z3_probe | p | ||
) |
Return a tactic that fails if the probe p
evaluates to false.
Referenced by z3::fail_if(), and z3py::FailIf().
Z3_tactic Z3_API Z3_tactic_fail_if_not_decided | ( | Z3_context | c | ) |
Return a tactic that fails if the goal is not trivially satisfiable (i.e., empty) or trivially unsatisfiable (i.e., contains false).
Return a string containing a description of the tactic with the given name.
Referenced by z3py::tactic_description().
Z3_string Z3_API Z3_tactic_get_help | ( | Z3_context | c, |
Z3_tactic | t | ||
) |
Return a string containing a description of parameters accepted by the given tactic.
Referenced by tactic::help(), and Tactic::help().
Z3_param_descrs Z3_API Z3_tactic_get_param_descrs | ( | Z3_context | c, |
Z3_tactic | t | ||
) |
Return the parameter description set for the given tactic object.
Referenced by Tactic::param_descrs().
void Z3_API Z3_tactic_inc_ref | ( | Z3_context | c, |
Z3_tactic | t | ||
) |
Increment the reference counter of the given tactic.
Referenced by tactic::operator=().
Z3_tactic Z3_API Z3_tactic_or_else | ( | Z3_context | c, |
Z3_tactic | t1, | ||
Z3_tactic | t2 | ||
) |
Return a tactic that first applies t1
to a given goal, if it fails then returns the result of t2
applied to the given goal.
Referenced by Tactic::param_descrs().
Z3_tactic Z3_API Z3_tactic_par_and_then | ( | Z3_context | c, |
Z3_tactic | t1, | ||
Z3_tactic | t2 | ||
) |
Return a tactic that applies t1
to a given goal and then t2
to every subgoal produced by t1. The subgoals are processed in parallel.
Referenced by z3py::ParThen().
Z3_tactic Z3_API Z3_tactic_par_or | ( | Z3_context | c, |
unsigned | num, | ||
Z3_tactic const | ts[] | ||
) |
Return a tactic that applies the given tactics in parallel.
Referenced by z3py::ParOr().
Z3_tactic Z3_API Z3_tactic_repeat | ( | Z3_context | c, |
Z3_tactic | t, | ||
unsigned | max | ||
) |
Return a tactic that keeps applying t
until the goal is not modified anymore or the maximum number of iterations max
is reached.
Referenced by z3::repeat(), and z3py::Repeat().
Z3_tactic Z3_API Z3_tactic_skip | ( | Z3_context | c | ) |
Return a tactic that just return the given goal.
Z3_tactic Z3_API Z3_tactic_try_for | ( | Z3_context | c, |
Z3_tactic | t, | ||
unsigned | ms | ||
) |
Return a tactic that applies t
to a given goal for ms
milliseconds. If t
does not terminate in ms
milliseconds, then it fails.
Referenced by z3::try_for(), and z3py::TryFor().
Z3_tactic Z3_API Z3_tactic_using_params | ( | Z3_context | c, |
Z3_tactic | t, | ||
Z3_params | p | ||
) |
Return a tactic that applies t
using the given set of parameters.
Referenced by z3::with(), and z3py::With().
Z3_tactic Z3_API Z3_tactic_when | ( | Z3_context | c, |
Z3_probe | p, | ||
Z3_tactic | t | ||
) |
Return a tactic that applies t
to a given goal is the probe p
evaluates to true. If p
evaluates to false, then the new tactic behaves like the skip tactic.
Referenced by z3::when(), and z3py::When().
void Z3_API Z3_theory_assert_axiom | ( | Z3_theory | t, |
Z3_ast | ax | ||
) |
Assert a theory axiom/lemmas during the search.
An axiom added at search level n
will remain in the logical context until level n
is backtracked.
The callbacks for push (Z3_set_push_callback) and pop (Z3_set_pop_callback) can be used to track when the search level is increased (i.e., new case-split) and decreased (i.e., case-split is backtracked).
Z3 tracks the theory axioms asserted. So, multiple assertions of the same axiom are ignored.
void Z3_API Z3_theory_assume_eq | ( | Z3_theory | t, |
Z3_ast | lhs, | ||
Z3_ast | rhs | ||
) |
Inform to the logical context that lhs
and rhs
have the same interpretation in the model being built by theory t
. If lhs = rhs is inconsistent with other theories, then the logical context will backtrack.
For more information, see the paper "Model-Based Theory Combination" in the Z3 website.
void Z3_API Z3_theory_enable_axiom_simplification | ( | Z3_theory | t, |
Z3_bool | flag | ||
) |
Enable/disable the simplification of theory axioms asserted using Z3_theory_assert_axiom. By default, the simplification of theory specific operators is disabled. That is, the reduce theory callbacks are not invoked for theory axioms. The default behavior is useful when asserting axioms stating properties of theory operators.
Z3_ast Z3_API Z3_theory_get_app | ( | Z3_theory | t, |
unsigned | i | ||
) |
Return the i-th application of the given theory in the logical context.
Z3_context Z3_API Z3_theory_get_context | ( | Z3_theory | t | ) |
Return the context where the given theory is installed.
Z3_ast Z3_API Z3_theory_get_elem | ( | Z3_theory | t, |
unsigned | i | ||
) |
Return the i-th elem of the given theory in the logical context.
Z3_ast Z3_API Z3_theory_get_eqc_next | ( | Z3_theory | t, |
Z3_ast | n | ||
) |
Return the next element in the equivalence class containing n
.
The elements in an equivalence class are organized in a circular list. You can traverse the list by calling this function multiple times using the result from the previous call. This is illustrated in the code snippet below.
Z3_ast Z3_API Z3_theory_get_eqc_root | ( | Z3_theory | t, |
Z3_ast | n | ||
) |
Return the root of the equivalence class containing n
.
Z3_theory_data Z3_API Z3_theory_get_ext_data | ( | Z3_theory | t | ) |
Return a pointer to the external data-structure supplied to the function Z3_mk_theory.
unsigned Z3_API Z3_theory_get_num_apps | ( | Z3_theory | t | ) |
Return the number of theory applications in the logical context. These are the expressions notified using the callback Z3_set_new_app_callback.
unsigned Z3_API Z3_theory_get_num_elems | ( | Z3_theory | t | ) |
Return the number of expressions of the given theory in the logical context. These are the expressions notified using the callback Z3_set_new_elem_callback.
unsigned Z3_API Z3_theory_get_num_parents | ( | Z3_theory | t, |
Z3_ast | n | ||
) |
Return the number of parents of n
that are operators of the given theory.
Z3_ast Z3_API Z3_theory_get_parent | ( | Z3_theory | t, |
Z3_ast | n, | ||
unsigned | i | ||
) |
Return the i-th parent of n
. See Z3_theory_get_num_parents.
Z3_bool Z3_API Z3_theory_is_decl | ( | Z3_theory | t, |
Z3_func_decl | d | ||
) |
Return Z3_TRUE
if d
is an interpreted theory declaration.
Z3_bool Z3_API Z3_theory_is_value | ( | Z3_theory | t, |
Z3_ast | n | ||
) |
Return Z3_TRUE
if n
is an interpreted theory value.
Z3_ast Z3_API Z3_theory_mk_constant | ( | Z3_context | c, |
Z3_theory | t, | ||
Z3_symbol | n, | ||
Z3_sort | s | ||
) |
Create an interpreted constant for the given theory.
Z3_func_decl Z3_API Z3_theory_mk_func_decl | ( | Z3_context | c, |
Z3_theory | t, | ||
Z3_symbol | n, | ||
unsigned | domain_size, | ||
Z3_sort const | domain[], | ||
Z3_sort | range | ||
) |
Create an interpreted function declaration for the given theory.
Z3_sort Z3_API Z3_theory_mk_sort | ( | Z3_context | c, |
Z3_theory | t, | ||
Z3_symbol | s | ||
) |
Create an interpreted theory sort.
Z3_ast Z3_API Z3_theory_mk_value | ( | Z3_context | c, |
Z3_theory | t, | ||
Z3_symbol | n, | ||
Z3_sort | s | ||
) |
Create an interpreted theory constant value. Values are assumed to be different from each other.
Z3_app Z3_API Z3_to_app | ( | Z3_context | c, |
Z3_ast | a | ||
) |
Z3_func_decl Z3_API Z3_to_func_decl | ( | Z3_context | c, |
Z3_ast | a | ||
) |
void Z3_API Z3_toggle_warning_messages | ( | Z3_bool | enabled | ) |
Enable/disable printing warning messages to the console.
Warnings are printed after passing true
, warning messages are suppressed after calling this method with false
.
Z3_ast Z3_API Z3_translate | ( | Z3_context | source, |
Z3_ast | a, | ||
Z3_context | target | ||
) |
Translate/Copy the AST a
from context source
to context target
. AST a
must have been created using context source
.
Referenced by AstRef::translate().
Z3_ast Z3_API Z3_update_term | ( | Z3_context | c, |
Z3_ast | a, | ||
unsigned | num_args, | ||
Z3_ast const | args[] | ||
) |
Update the arguments of term a
using the arguments args
. The number of arguments num_args
should coincide with the number of arguments to a
. If a
is a quantifier, then num_args has to be 1.
void Z3_API Z3_write_interpolation_problem | ( | Z3_context | ctx, |
unsigned | num, | ||
Z3_ast | cnsts[], | ||
unsigned | parents[], | ||
Z3_string | filename, | ||
unsigned | num_theory, | ||
Z3_ast | theory[] | ||
) |
Write an interpolation problem to file suitable for reading with Z3_read_interpolation_problem. The output file is a sequence of SMT-LIB2 format commands, suitable for reading with command-line Z3 or other interpolating solvers.
ctx | The Z3 context. Must be generated by z3_mk_interpolation_context |
num | The number of constraints in the sequence |
cnsts | Array of constraints |
parents | The parents vector (or NULL for sequence) |
filename | The file name to write |
num_theory | Number of theory terms |
theory | Theory terms |