Z3
C API

Algebraic Numbers

bool Z3_API Z3_algebraic_is_value (Z3_context c, Z3_ast a)
Return `true` if `a` can be used as value in the Z3 real algebraic number package. More...

bool Z3_API Z3_algebraic_is_pos (Z3_context c, Z3_ast a)
Return `true` if `a` is positive, and `false` otherwise. More...

bool Z3_API Z3_algebraic_is_neg (Z3_context c, Z3_ast a)
Return `true` if `a` is negative, and `false` otherwise. More...

bool Z3_API Z3_algebraic_is_zero (Z3_context c, Z3_ast a)
Return `true` if `a` is zero, and `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...

bool Z3_API Z3_algebraic_lt (Z3_context c, Z3_ast a, Z3_ast b)
Return `true` if a < b, and `false` otherwise. More...

bool Z3_API Z3_algebraic_gt (Z3_context c, Z3_ast a, Z3_ast b)
Return `true` if a > b, and `false` otherwise. More...

bool Z3_API Z3_algebraic_le (Z3_context c, Z3_ast a, Z3_ast b)
Return `true` if a <= b, and `false` otherwise. More...

bool Z3_API Z3_algebraic_ge (Z3_context c, Z3_ast a, Z3_ast b)
Return `true` if a >= b, and `false` otherwise. More...

bool Z3_API Z3_algebraic_eq (Z3_context c, Z3_ast a, Z3_ast b)
Return `true` if a == b, and `false` otherwise. More...

bool Z3_API Z3_algebraic_neq (Z3_context c, Z3_ast a, Z3_ast b)
Return `true` if a != b, and `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...

Z3_ast_vector Z3_API Z3_algebraic_get_poly (Z3_context c, Z3_ast a)
Return the coefficients of the defining polynomial. More...

unsigned Z3_API Z3_algebraic_get_i (Z3_context c, Z3_ast a)
Return which root of the polynomial the algebraic number represents. More...

Types

enum  Z3_lbool { Z3_L_FALSE = -1, Z3_L_UNDEF, Z3_L_TRUE }
Lifted Boolean type: `false`, `undefined`, `true`. More...

enum  Z3_symbol_kind { Z3_INT_SYMBOL, Z3_STRING_SYMBOL }
The different kinds of symbol. In Z3, a symbol can be represented using integers and strings (See Z3_get_symbol_kind). More...

enum  Z3_parameter_kind {
Z3_PARAMETER_INT, Z3_PARAMETER_DOUBLE, Z3_PARAMETER_RATIONAL, Z3_PARAMETER_SYMBOL,
Z3_PARAMETER_SORT, Z3_PARAMETER_AST, Z3_PARAMETER_FUNC_DECL
}
The different kinds of parameters that can be associated with function symbols. More...

enum  Z3_sort_kind {
Z3_UNINTERPRETED_SORT, Z3_BOOL_SORT, Z3_INT_SORT, Z3_REAL_SORT,
Z3_BV_SORT, Z3_ARRAY_SORT, Z3_DATATYPE_SORT, Z3_RELATION_SORT,
Z3_FINITE_DOMAIN_SORT, Z3_FLOATING_POINT_SORT, Z3_ROUNDING_MODE_SORT, Z3_SEQ_SORT,
Z3_RE_SORT, Z3_UNKNOWN_SORT = 1000
}
The different kinds of Z3 types (See Z3_get_sort_kind). More...

enum  Z3_ast_kind {
Z3_NUMERAL_AST, Z3_APP_AST, Z3_VAR_AST, Z3_QUANTIFIER_AST,
Z3_SORT_AST, Z3_FUNC_DECL_AST, Z3_UNKNOWN_AST = 1000
}
The different kinds of Z3 AST (abstract syntax trees). That is, terms, formulas and types. More...

enum  Z3_decl_kind {
Z3_OP_TRUE = 0x100, Z3_OP_FALSE, Z3_OP_EQ, Z3_OP_DISTINCT,
Z3_OP_ITE, Z3_OP_AND, Z3_OP_OR, Z3_OP_IFF,
Z3_OP_XOR, Z3_OP_NOT, Z3_OP_IMPLIES, Z3_OP_OEQ,
Z3_OP_ANUM = 0x200, Z3_OP_AGNUM, Z3_OP_LE, Z3_OP_GE,
Z3_OP_LT, Z3_OP_GT, Z3_OP_ADD, Z3_OP_SUB,
Z3_OP_UMINUS, Z3_OP_MUL, Z3_OP_DIV, Z3_OP_IDIV,
Z3_OP_REM, Z3_OP_MOD, Z3_OP_TO_REAL, Z3_OP_TO_INT,
Z3_OP_IS_INT, Z3_OP_POWER, Z3_OP_STORE = 0x300, Z3_OP_SELECT,
Z3_OP_CONST_ARRAY, Z3_OP_ARRAY_MAP, Z3_OP_ARRAY_DEFAULT, Z3_OP_SET_UNION,
Z3_OP_SET_INTERSECT, Z3_OP_SET_DIFFERENCE, Z3_OP_SET_COMPLEMENT, Z3_OP_SET_SUBSET,
Z3_OP_AS_ARRAY, Z3_OP_ARRAY_EXT, Z3_OP_SET_HAS_SIZE, Z3_OP_SET_CARD,
Z3_OP_BNUM = 0x400, Z3_OP_BIT1, Z3_OP_BIT0, Z3_OP_BNEG,
Z3_OP_BADD, Z3_OP_BSUB, Z3_OP_BMUL, Z3_OP_BSDIV,
Z3_OP_BUDIV, Z3_OP_BSREM, Z3_OP_BUREM, Z3_OP_BSMOD,
Z3_OP_BSDIV0, Z3_OP_BUDIV0, Z3_OP_BSREM0, Z3_OP_BUREM0,
Z3_OP_BSMOD0, Z3_OP_ULEQ, Z3_OP_SLEQ, Z3_OP_UGEQ,
Z3_OP_SGEQ, Z3_OP_ULT, Z3_OP_SLT, Z3_OP_UGT,
Z3_OP_SGT, Z3_OP_BAND, Z3_OP_BOR, Z3_OP_BNOT,
Z3_OP_BXOR, Z3_OP_BNAND, Z3_OP_BNOR, Z3_OP_BXNOR,
Z3_OP_CONCAT, Z3_OP_SIGN_EXT, Z3_OP_ZERO_EXT, Z3_OP_EXTRACT,
Z3_OP_REPEAT, Z3_OP_BREDOR, Z3_OP_BREDAND, Z3_OP_BCOMP,
Z3_OP_BSHL, Z3_OP_BLSHR, Z3_OP_BASHR, Z3_OP_ROTATE_LEFT,
Z3_OP_ROTATE_RIGHT, Z3_OP_EXT_ROTATE_LEFT, Z3_OP_EXT_ROTATE_RIGHT, Z3_OP_BIT2BOOL,
Z3_OP_INT2BV, Z3_OP_BV2INT, Z3_OP_CARRY, Z3_OP_XOR3,
Z3_OP_BSMUL_NO_OVFL, Z3_OP_BUMUL_NO_OVFL, Z3_OP_BSMUL_NO_UDFL, Z3_OP_BSDIV_I,
Z3_OP_BUDIV_I, Z3_OP_BSREM_I, Z3_OP_BUREM_I, Z3_OP_BSMOD_I,
Z3_OP_PR_UNDEF = 0x500, Z3_OP_PR_TRUE, Z3_OP_PR_ASSERTED, Z3_OP_PR_GOAL,
Z3_OP_PR_MODUS_PONENS, Z3_OP_PR_REFLEXIVITY, Z3_OP_PR_SYMMETRY, Z3_OP_PR_TRANSITIVITY,
Z3_OP_PR_TRANSITIVITY_STAR, Z3_OP_PR_MONOTONICITY, Z3_OP_PR_QUANT_INTRO, Z3_OP_PR_BIND,
Z3_OP_PR_DISTRIBUTIVITY, Z3_OP_PR_AND_ELIM, Z3_OP_PR_NOT_OR_ELIM, Z3_OP_PR_REWRITE,
Z3_OP_PR_REWRITE_STAR, Z3_OP_PR_PULL_QUANT, Z3_OP_PR_PUSH_QUANT, Z3_OP_PR_ELIM_UNUSED_VARS,
Z3_OP_PR_DER, Z3_OP_PR_QUANT_INST, Z3_OP_PR_HYPOTHESIS, Z3_OP_PR_LEMMA,
Z3_OP_PR_UNIT_RESOLUTION, Z3_OP_PR_IFF_TRUE, Z3_OP_PR_IFF_FALSE, Z3_OP_PR_COMMUTATIVITY,
Z3_OP_PR_DEF_AXIOM, Z3_OP_PR_ASSUMPTION_ADD, Z3_OP_PR_LEMMA_ADD, Z3_OP_PR_REDUNDANT_DEL,
Z3_OP_PR_CLAUSE_TRAIL, Z3_OP_PR_DEF_INTRO, Z3_OP_PR_APPLY_DEF, Z3_OP_PR_IFF_OEQ,
Z3_OP_PR_NNF_POS, Z3_OP_PR_NNF_NEG, Z3_OP_PR_SKOLEMIZE, Z3_OP_PR_MODUS_PONENS_OEQ,
Z3_OP_PR_TH_LEMMA, Z3_OP_PR_HYPER_RESOLVE, Z3_OP_RA_STORE = 0x600, Z3_OP_RA_EMPTY,
Z3_OP_RA_IS_EMPTY, Z3_OP_RA_JOIN, Z3_OP_RA_UNION, Z3_OP_RA_WIDEN,
Z3_OP_RA_PROJECT, Z3_OP_RA_FILTER, Z3_OP_RA_NEGATION_FILTER, Z3_OP_RA_RENAME,
Z3_OP_RA_COMPLEMENT, Z3_OP_RA_SELECT, Z3_OP_RA_CLONE, Z3_OP_FD_CONSTANT,
Z3_OP_FD_LT, Z3_OP_SEQ_UNIT, Z3_OP_SEQ_EMPTY, Z3_OP_SEQ_CONCAT,
Z3_OP_SEQ_PREFIX, Z3_OP_SEQ_SUFFIX, Z3_OP_SEQ_CONTAINS, Z3_OP_SEQ_EXTRACT,
Z3_OP_SEQ_REPLACE, Z3_OP_SEQ_AT, Z3_OP_SEQ_NTH, Z3_OP_SEQ_LENGTH,
Z3_OP_SEQ_INDEX, Z3_OP_SEQ_LAST_INDEX, Z3_OP_SEQ_TO_RE, Z3_OP_SEQ_IN_RE,
Z3_OP_STR_TO_INT, Z3_OP_INT_TO_STR, Z3_OP_STRING_LT, Z3_OP_STRING_LE,
Z3_OP_RE_PLUS, Z3_OP_RE_STAR, Z3_OP_RE_OPTION, Z3_OP_RE_CONCAT,
Z3_OP_RE_UNION, Z3_OP_RE_RANGE, Z3_OP_RE_LOOP, Z3_OP_RE_INTERSECT,
Z3_OP_RE_EMPTY_SET, Z3_OP_RE_FULL_SET, Z3_OP_RE_COMPLEMENT, Z3_OP_LABEL = 0x700,
Z3_OP_LABEL_LIT, Z3_OP_DT_CONSTRUCTOR =0x800, Z3_OP_DT_RECOGNISER, Z3_OP_DT_IS,
Z3_OP_DT_ACCESSOR, Z3_OP_DT_UPDATE_FIELD, Z3_OP_PB_AT_MOST =0x900, Z3_OP_PB_AT_LEAST,
Z3_OP_PB_LE, Z3_OP_PB_GE, Z3_OP_PB_EQ, Z3_OP_SPECIAL_RELATION_LO = 0xa000,
Z3_OP_SPECIAL_RELATION_PO, Z3_OP_SPECIAL_RELATION_PLO, Z3_OP_SPECIAL_RELATION_TO, Z3_OP_SPECIAL_RELATION_TC,
Z3_OP_SPECIAL_RELATION_TRC, Z3_OP_FPA_RM_NEAREST_TIES_TO_EVEN = 0xb000, Z3_OP_FPA_RM_NEAREST_TIES_TO_AWAY, Z3_OP_FPA_RM_TOWARD_POSITIVE,
Z3_OP_FPA_RM_TOWARD_NEGATIVE, Z3_OP_FPA_RM_TOWARD_ZERO, Z3_OP_FPA_NUM, Z3_OP_FPA_PLUS_INF,
Z3_OP_FPA_MINUS_INF, Z3_OP_FPA_NAN, Z3_OP_FPA_PLUS_ZERO, Z3_OP_FPA_MINUS_ZERO,
Z3_OP_FPA_ADD, Z3_OP_FPA_SUB, Z3_OP_FPA_NEG, Z3_OP_FPA_MUL,
Z3_OP_FPA_DIV, Z3_OP_FPA_REM, Z3_OP_FPA_ABS, Z3_OP_FPA_MIN,
Z3_OP_FPA_MAX, Z3_OP_FPA_FMA, Z3_OP_FPA_SQRT, Z3_OP_FPA_ROUND_TO_INTEGRAL,
Z3_OP_FPA_EQ, Z3_OP_FPA_LT, Z3_OP_FPA_GT, Z3_OP_FPA_LE,
Z3_OP_FPA_GE, Z3_OP_FPA_IS_NAN, Z3_OP_FPA_IS_INF, Z3_OP_FPA_IS_ZERO,
Z3_OP_FPA_IS_NORMAL, Z3_OP_FPA_IS_SUBNORMAL, Z3_OP_FPA_IS_NEGATIVE, Z3_OP_FPA_IS_POSITIVE,
Z3_OP_FPA_FP, Z3_OP_FPA_TO_FP, Z3_OP_FPA_TO_FP_UNSIGNED, Z3_OP_FPA_TO_UBV,
Z3_OP_FPA_TO_SBV, Z3_OP_FPA_TO_REAL, Z3_OP_FPA_TO_IEEE_BV, Z3_OP_FPA_BVWRAP,
Z3_OP_FPA_BV2RM, Z3_OP_INTERNAL, Z3_OP_UNINTERPRETED
}
The different kinds of interpreted function kinds. More...

enum  Z3_param_kind {
Z3_PK_UINT, Z3_PK_BOOL, Z3_PK_DOUBLE, Z3_PK_SYMBOL,
Z3_PK_STRING, Z3_PK_OTHER, Z3_PK_INVALID
}
The different kinds of parameters that can be associated with parameter sets. (see Z3_mk_params). More...

enum  Z3_ast_print_mode { Z3_PRINT_SMTLIB_FULL, Z3_PRINT_LOW_LEVEL, Z3_PRINT_SMTLIB2_COMPLIANT }
Z3 pretty printing modes (See Z3_set_ast_print_mode). More...

enum  Z3_error_code {
Z3_OK, Z3_SORT_ERROR, Z3_IOB, Z3_INVALID_ARG,
Z3_PARSER_ERROR, Z3_NO_PARSER, Z3_INVALID_PATTERN, Z3_MEMOUT_FAIL,
Z3_FILE_ACCESS_ERROR, Z3_INTERNAL_FATAL, Z3_INVALID_USAGE, Z3_DEC_REF_ERROR,
Z3_EXCEPTION
}
Z3 error codes (See Z3_get_error_code). More...

enum  Z3_goal_prec { Z3_GOAL_PRECISE, Z3_GOAL_UNDER, Z3_GOAL_OVER, Z3_GOAL_UNDER_OVER }
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. More...

typedef bool Z3_bool
Z3 Boolean type. It is just an alias for `bool`. More...

typedef const char * Z3_string
Z3 string type. It is just an alias for `const char *`. More...

typedef char const * Z3_char_ptr

typedef Z3_stringZ3_string_ptr

typedef void Z3_error_handler(Z3_context c, Z3_error_code e)
Z3 custom error handler (See Z3_set_error_handler). More...

typedef void Z3_push_eh(void *ctx)
callback functions for user propagator. More...

typedef void Z3_pop_eh(void *ctx, unsigned num_scopes)

typedef void * Z3_fresh_eh(void *ctx, Z3_context new_context)

typedef void Z3_fixed_eh(void *ctx, Z3_solver_callback cb, unsigned id, Z3_ast value)

typedef void Z3_eq_eh(void *ctx, Z3_solver_callback cb, unsigned x, unsigned y)

typedef void Z3_final_eh(void *ctx, Z3_solver_callback cb)

#define Z3_TRUE   true
True value. It is just an alias for `true`. More...

#define Z3_FALSE   false
False value. It is just an alias for `false`. More...

Global Parameters

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...

Context and AST Reference Counting

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, 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 name of the parameter at given index `i`. More...

Z3_string Z3_API Z3_param_descrs_get_documentation (Z3_context c, Z3_param_descrs p, Z3_symbol s)
Retrieve documentation string corresponding to parameter name `s`. 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, uint64_t 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_array_sort_n (Z3_context c, unsigned n, Z3_sort const *domain, Z3_sort range)
Create an array type with N arguments. 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...

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...

Z3_func_decl Z3_API Z3_mk_rec_func_decl (Z3_context c, Z3_symbol s, unsigned domain_size, Z3_sort const domain[], Z3_sort range)
Declare a recursive function. More...

void Z3_API Z3_add_rec_def (Z3_context c, Z3_func_decl f, unsigned n, Z3_ast args[], Z3_ast body)
Define the body of a recursive function. 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])`. 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]`. 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]`. More...

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]`. 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]`. 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]`. More...

Z3_ast Z3_API Z3_mk_unary_minus (Z3_context c, Z3_ast arg)
Create an AST node representing `- arg`. 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`. 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`. 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`. 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_divides (Z3_context c, Z3_ast t1, Z3_ast t2)
Create division predicate. 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 bit-vector of size `m` to yield a new bit-vector 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 bit-vector 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 bit-vector 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, 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, 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, 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, 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_select_n (Z3_context c, Z3_ast a, unsigned n, Z3_ast const *idxs)
n-ary Array read. The argument `a` is the array and `idxs` are the indices 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_store_n (Z3_context c, Z3_ast a, unsigned n, Z3_ast const *idxs, Z3_ast v)
n-ary 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 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...

Z3_ast Z3_API Z3_mk_as_array (Z3_context c, Z3_func_decl f)
Create array with the same interpretation as a function. The array satisfies the property (f x) = (select (_ as-array f) x) for every argument x. More...

Z3_ast Z3_API Z3_mk_set_has_size (Z3_context c, Z3_ast set, Z3_ast k)
Create predicate that holds if Boolean array `set` has `k` elements set to true. 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...

Z3_ast Z3_API Z3_mk_array_ext (Z3_context c, Z3_ast arg1, Z3_ast arg2)
Create array extensionality index given two arrays with the same sort. The meaning is given by the axiom: (=> (= (select A (array-ext A B)) (select B (array-ext A B))) (= A B)) 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_t 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, uint64_t v, Z3_sort ty)
Create a numeral of a int, bit-vector, or finite-domain sort. More...

Z3_ast Z3_API Z3_mk_bv_numeral (Z3_context c, unsigned sz, bool const *bits)
create a bit-vector numeral from a vector of Booleans. More...

Sequences and regular expressions

Z3_sort Z3_API Z3_mk_seq_sort (Z3_context c, Z3_sort s)
Create a sequence sort out of the sort for the elements. More...

bool Z3_API Z3_is_seq_sort (Z3_context c, Z3_sort s)
Check if `s` is a sequence sort. More...

Z3_sort Z3_API Z3_get_seq_sort_basis (Z3_context c, Z3_sort s)
Retrieve basis sort for sequence sort. More...

Z3_sort Z3_API Z3_mk_re_sort (Z3_context c, Z3_sort seq)
Create a regular expression sort out of a sequence sort. More...

bool Z3_API Z3_is_re_sort (Z3_context c, Z3_sort s)
Check if `s` is a regular expression sort. More...

Z3_sort Z3_API Z3_get_re_sort_basis (Z3_context c, Z3_sort s)
Retrieve basis sort for regex sort. More...

Z3_sort Z3_API Z3_mk_string_sort (Z3_context c)
Create a sort for 8 bit strings. More...

bool Z3_API Z3_is_string_sort (Z3_context c, Z3_sort s)
Check if `s` is a string sort. More...

Z3_ast Z3_API Z3_mk_string (Z3_context c, Z3_string s)
Create a string constant out of the string that is passed in. More...

Z3_ast Z3_API Z3_mk_lstring (Z3_context c, unsigned len, Z3_string s)
Create a string constant out of the string that is passed in It takes the length of the string as well to take into account 0 characters. The string is unescaped. More...

bool Z3_API Z3_is_string (Z3_context c, Z3_ast s)
Determine if `s` is a string constant. More...

Z3_string Z3_API Z3_get_string (Z3_context c, Z3_ast s)
Retrieve the string constant stored in `s`. More...

Z3_char_ptr Z3_API Z3_get_lstring (Z3_context c, Z3_ast s, unsigned *length)
Retrieve the unescaped string constant stored in `s`. More...

Z3_ast Z3_API Z3_mk_seq_empty (Z3_context c, Z3_sort seq)
Create an empty sequence of the sequence sort `seq`. More...

Z3_ast Z3_API Z3_mk_seq_unit (Z3_context c, Z3_ast a)
Create a unit sequence of `a`. More...

Z3_ast Z3_API Z3_mk_seq_concat (Z3_context c, unsigned n, Z3_ast const args[])
Concatenate sequences. More...

Z3_ast Z3_API Z3_mk_seq_prefix (Z3_context c, Z3_ast prefix, Z3_ast s)
Check if `prefix` is a prefix of `s`. More...

Z3_ast Z3_API Z3_mk_seq_suffix (Z3_context c, Z3_ast suffix, Z3_ast s)
Check if `suffix` is a suffix of `s`. More...

Z3_ast Z3_API Z3_mk_seq_contains (Z3_context c, Z3_ast container, Z3_ast containee)
Check if `container` contains `containee`. More...

Z3_ast Z3_API Z3_mk_str_lt (Z3_context c, Z3_ast prefix, Z3_ast s)
Check if `s1` is lexicographically strictly less than `s2`. More...

Z3_ast Z3_API Z3_mk_str_le (Z3_context c, Z3_ast prefix, Z3_ast s)
Check if `s1` is equal or lexicographically strictly less than `s2`. More...

Z3_ast Z3_API Z3_mk_seq_extract (Z3_context c, Z3_ast s, Z3_ast offset, Z3_ast length)
Extract subsequence starting at `offset` of `length`. More...

Z3_ast Z3_API Z3_mk_seq_replace (Z3_context c, Z3_ast s, Z3_ast src, Z3_ast dst)
Replace the first occurrence of `src` with `dst` in `s`. More...

Z3_ast Z3_API Z3_mk_seq_at (Z3_context c, Z3_ast s, Z3_ast index)
Retrieve from `s` the unit sequence positioned at position `index`. The sequence is empty if the index is out of bounds. More...

Z3_ast Z3_API Z3_mk_seq_nth (Z3_context c, Z3_ast s, Z3_ast index)
Retrieve from `s` the element positioned at position `index`. The function is under-specified if the index is out of bounds. More...

Z3_ast Z3_API Z3_mk_seq_length (Z3_context c, Z3_ast s)
Return the length of the sequence `s`. More...

Z3_ast Z3_API Z3_mk_seq_index (Z3_context c, Z3_ast s, Z3_ast substr, Z3_ast offset)
Return index of first occurrence of `substr` in `s` starting from offset `offset`. If `s` does not contain `substr`, then the value is -1, if `offset` is the length of `s`, then the value is -1 as well. The value is -1 if `offset` is negative or larger than the length of `s`. More...

Z3_ast Z3_API Z3_mk_seq_last_index (Z3_context c, Z3_ast, Z3_ast substr)
Return the last occurrence of `substr` in `s`. If `s` does not contain `substr`, then the value is -1,. More...

Z3_ast Z3_API Z3_mk_str_to_int (Z3_context c, Z3_ast s)
Convert string to integer. More...

Z3_ast Z3_API Z3_mk_int_to_str (Z3_context c, Z3_ast s)
Integer to string conversion. More...

Z3_ast Z3_API Z3_mk_seq_to_re (Z3_context c, Z3_ast seq)
Create a regular expression that accepts the sequence `seq`. More...

Z3_ast Z3_API Z3_mk_seq_in_re (Z3_context c, Z3_ast seq, Z3_ast re)
Check if `seq` is in the language generated by the regular expression `re`. More...

Z3_ast Z3_API Z3_mk_re_plus (Z3_context c, Z3_ast re)
Create the regular language `re+`. More...

Z3_ast Z3_API Z3_mk_re_star (Z3_context c, Z3_ast re)
Create the regular language `re*`. More...

Z3_ast Z3_API Z3_mk_re_option (Z3_context c, Z3_ast re)
Create the regular language [re]. More...

Z3_ast Z3_API Z3_mk_re_union (Z3_context c, unsigned n, Z3_ast const args[])
Create the union of the regular languages. More...

Z3_ast Z3_API Z3_mk_re_concat (Z3_context c, unsigned n, Z3_ast const args[])
Create the concatenation of the regular languages. More...

Z3_ast Z3_API Z3_mk_re_range (Z3_context c, Z3_ast lo, Z3_ast hi)
Create the range regular expression over two sequences of length 1. More...

Z3_ast Z3_API Z3_mk_re_loop (Z3_context c, Z3_ast r, unsigned lo, unsigned hi)
Create a regular expression loop. The supplied regular expression `r` is repeated between `lo` and `hi` times. The `lo` should be below `hi` with one exception: when supplying the value `hi` as 0, the meaning is to repeat the argument `r` at least `lo` number of times, and with an unbounded upper bound. More...

Z3_ast Z3_API Z3_mk_re_intersect (Z3_context c, unsigned n, Z3_ast const args[])
Create the intersection of the regular languages. More...

Z3_ast Z3_API Z3_mk_re_complement (Z3_context c, Z3_ast re)
Create the complement of the regular language `re`. More...

Z3_ast Z3_API Z3_mk_re_empty (Z3_context c, Z3_sort re)
Create an empty regular expression of sort `re`. More...

Z3_ast Z3_API Z3_mk_re_full (Z3_context c, Z3_sort re)
Create an universal regular expression of sort `re`. More...

Special relations

Z3_func_decl Z3_API Z3_mk_linear_order (Z3_context c, Z3_sort a, unsigned id)
create a linear ordering relation over signature `a`. The relation is identified by the index `id`. More...

Z3_func_decl Z3_API Z3_mk_partial_order (Z3_context c, Z3_sort a, unsigned id)
create a partial ordering relation over signature `a` and index `id`. More...

Z3_func_decl Z3_API Z3_mk_piecewise_linear_order (Z3_context c, Z3_sort a, unsigned id)
create a piecewise linear ordering relation over signature `a` and index `id`. More...

Z3_func_decl Z3_API Z3_mk_tree_order (Z3_context c, Z3_sort a, unsigned id)
create a tree ordering relation over signature `a` identified using index `id`. More...

Z3_func_decl Z3_API Z3_mk_transitive_closure (Z3_context c, Z3_func_decl f)
create transitive closure of binary relation. 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, 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, 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, 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, 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...

Z3_ast Z3_API Z3_mk_lambda (Z3_context c, unsigned num_decls, Z3_sort const sorts[], Z3_symbol const decl_names[], Z3_ast body)
Create a lambda expression. 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. The sort of the resulting expression is (Array sorts range) where `range` is the sort of `body`. For example, if the lambda binds two variables of sort `Int` and `Bool`, and the `body` has sort `Real`, the sort of the expression is (Array Int Bool Real). More...

Z3_ast Z3_API Z3_mk_lambda_const (Z3_context c, unsigned num_bound, Z3_app const bound[], Z3_ast body)
Create a lambda expression using a list of constants that 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...

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, uint64_t *r)
Store the size of the sort in `r`. Return `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. In the case of a multi-dimensional array, this function returns the sort of the first dimension. 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_atleast (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 const coeffs[], int k)
Pseudo-Boolean relations. More...

Z3_ast Z3_API Z3_mk_pbge (Z3_context c, unsigned num_args, Z3_ast const args[], int const coeffs[], int k)
Pseudo-Boolean relations. More...

Z3_ast Z3_API Z3_mk_pbeq (Z3_context c, unsigned num_args, Z3_ast const args[], int const 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...

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 expression 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 expression 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...

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 interchangeably 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...

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...

bool Z3_API Z3_is_app (Z3_context c, Z3_ast a)

bool Z3_API Z3_is_numeral_ast (Z3_context c, Z3_ast a)

bool Z3_API Z3_is_algebraic_number (Z3_context c, Z3_ast a)
Return `true` if the given 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 decimal string of a numeric constant term. More...

Z3_string Z3_API Z3_get_numeral_binary_string (Z3_context c, Z3_ast a)
Return numeral value, as a binary 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...

double Z3_API Z3_get_numeral_double (Z3_context c, Z3_ast a)
Return numeral as a double. 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...

bool Z3_API Z3_get_numeral_small (Z3_context c, Z3_ast a, int64_t *num, int64_t *den)
Return numeral value, as a pair of 64 bit numbers if the representation fits. More...

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 `true` if the call succeeded. More...

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 `true` if the call succeeded. More...

bool Z3_API Z3_get_numeral_uint64 (Z3_context c, Z3_ast v, uint64_t *u)
Similar to Z3_get_numeral_string, but only succeeds if the value can fit in a machine `uint64_t` int. Return `true` if the call succeeded. More...

bool Z3_API Z3_get_numeral_int64 (Z3_context c, Z3_ast v, int64_t *i)
Similar to Z3_get_numeral_string, but only succeeds if the value can fit in a machine `int64_t` int. Return `true` if the call succeeded. More...

bool Z3_API Z3_get_numeral_rational_int64 (Z3_context c, Z3_ast v, int64_t *num, int64_t *den)
Similar to Z3_get_numeral_string, but only succeeds if the value can fit as a rational number as machine `int64_t` int. Return `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-Bruijn bound variable. More...

bool Z3_API Z3_is_quantifier_forall (Z3_context c, Z3_ast a)
Determine if an ast is a universal quantifier. More...

bool Z3_API Z3_is_quantifier_exists (Z3_context c, Z3_ast a)
Determine if ast is an existential quantifier. More...

bool Z3_API Z3_is_lambda (Z3_context c, Z3_ast a)
Determine if ast is a lambda expression. 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

Z3_model Z3_API Z3_mk_model (Z3_context c)
Create a fresh model object. It has reference count 0. More...

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, bool model_completion, Z3_ast *v)
Evaluate the AST node `t` in the given model. Return `true` if succeeded, and store the result in `v`. 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...

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` assigns 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_model Z3_API Z3_model_translate (Z3_context c, Z3_model m, Z3_context dst)
translate model from context `c` to context `dst`. More...

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 `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...

Z3_func_interp Z3_API Z3_add_func_interp (Z3_context c, Z3_model m, Z3_func_decl f, Z3_ast default_value)
Create a fresh func_interp object, add it to a model for a specified function. It has reference count 0. More...

void Z3_API Z3_add_const_interp (Z3_context c, Z3_model m, Z3_func_decl f, Z3_ast a)
Add a constant interpretation. 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 interpretation. 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...

void Z3_API Z3_func_interp_set_else (Z3_context c, Z3_func_interp f, Z3_ast else_value)
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_interp_add_entry (Z3_context c, Z3_func_interp fi, Z3_ast_vector args, Z3_ast value)
add a function entry to a 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

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 (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_vector 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_vector 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...

Z3_string Z3_API Z3_eval_smtlib2_string (Z3_context, Z3_string str)
Parse and evaluate and SMT-LIB2 command sequence. The state from a previous call is saved so the next evaluation builds on top of the previous call. 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_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...

Z3_string Z3_API Z3_get_full_version (void)
Return a string that fully describes the version of Z3 in use. 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...

Goals

Z3_goal Z3_API Z3_mk_goal (Z3_context c, bool models, bool unsat_cores, 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. The formula is split according to the following procedure that is applied until a fixed-point: Conjunctions are split into separate formulas. Negations are distributed over disjunctions, resulting in separate formulas. If the goal is `false`, adding new formulas is a no-op. If the formula `a` is `true`, then nothing is added. If the formula `a` is `false`, then the entire goal is replaced by the formula `false`. More...

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...

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...

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 the context `target`. More...

Z3_model Z3_API Z3_goal_convert_model (Z3_context c, Z3_goal g, Z3_model m)
Convert a model of the formulas of a goal to a model of an original goal. The model may be null, in which case the returned model is valid if the goal was established satisfiable. More...

Z3_string Z3_API Z3_goal_to_string (Z3_context c, Z3_goal g)
Convert a goal into a string. More...

Z3_string Z3_API Z3_goal_to_dimacs_string (Z3_context c, Z3_goal g, bool include_names)
Convert a goal into a DIMACS formatted string. The goal must be in CNF. You can convert a goal to CNF by applying the tseitin-cnf tactic. Bit-vectors are not automatically converted to Booleans either, so if the caller intends to preserve satisfiability, it should apply bit-blasting tactics. Quantifiers and theory atoms will not be encoded. 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-tactic)` 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-tactic)` 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...

Solvers

Z3_solver Z3_API Z3_mk_solver (Z3_context c)
Create a new solver. This solver is a "combined solver" (see combined_solver module) that internally uses a non-incremental (solver1) and an incremental solver (solver2). This combined solver changes its behaviour based on how it is used and how its parameters are set. 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_solver Z3_API Z3_solver_translate (Z3_context source, Z3_solver s, Z3_context target)
Copy a solver `s` from the context `source` to the context `target`. More...

void Z3_API Z3_solver_import_model_converter (Z3_context ctx, Z3_solver src, Z3_solver dst)
Ad-hoc method for importing model conversion from solver. 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_interrupt (Z3_context c, Z3_solver s)
Solver local interrupt. Normally you should use Z3_interrupt to cancel solvers because only one solver is enabled concurrently per context. However, per GitHub issue #1006, there are use cases where it is more convenient to cancel a specific solver. Solvers that are not selected for interrupts are left alone. 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...

void Z3_API Z3_solver_from_file (Z3_context c, Z3_solver s, Z3_string file_name)
load solver assertions from a file. More...

void Z3_API Z3_solver_from_string (Z3_context c, Z3_solver s, Z3_string file_name)
load solver assertions from a string. More...

Z3_ast_vector Z3_API Z3_solver_get_assertions (Z3_context c, Z3_solver s)
Return the set of asserted formulas on the solver. More...

Z3_ast_vector Z3_API Z3_solver_get_units (Z3_context c, Z3_solver s)
Return the set of units modulo model conversion. More...

Z3_ast_vector Z3_API Z3_solver_get_trail (Z3_context c, Z3_solver s)
Return the trail modulo model conversion, in order of decision level The decision level can be retrieved using `Z3_solver_get_level` based on the trail. More...

Z3_ast_vector Z3_API Z3_solver_get_non_units (Z3_context c, Z3_solver s)
Return the set of non units in the solver state. More...

void Z3_API Z3_solver_get_levels (Z3_context c, Z3_solver s, Z3_ast_vector literals, unsigned sz, unsigned levels[])
retrieve the decision depth of Boolean literals (variables or their negations). Assumes a check-sat call and no other calls (to extract models) have been invoked. More...

void Z3_API Z3_solver_propagate_init (Z3_context c, Z3_solver s, void *user_context, Z3_push_eh push_eh, Z3_pop_eh pop_eh, Z3_fresh_eh fresh_eh)
register a user-properator with the solver. More...

void Z3_API Z3_solver_propagate_fixed (Z3_context c, Z3_solver s, Z3_fixed_eh fixed_eh)
register a callback for when an expression is bound to a fixed value. The supported expression types are More...

void Z3_API Z3_solver_propagate_final (Z3_context c, Z3_solver s, Z3_final_eh final_eh)
register a callback on final check. This provides freedom to the propagator to delay actions or implement a branch-and bound solver. More...

void Z3_API Z3_solver_propagate_eq (Z3_context c, Z3_solver s, Z3_eq_eh eq_eh)
register a callback on expression equalities. More...

void Z3_API Z3_solver_propagate_diseq (Z3_context c, Z3_solver s, Z3_eq_eh eq_eh)
register a callback on expression dis-equalities. More...

unsigned Z3_API Z3_solver_propagate_register (Z3_context c, Z3_solver s, Z3_ast e)
register an expression to propagate on with the solver. Only expressions of type Bool and type Bit-Vector can be registered for propagation. More...

void Z3_API Z3_solver_propagate_consequence (Z3_context c, Z3_solver_callback, unsigned num_fixed, unsigned const *fixed_ids, unsigned num_eqs, unsigned const *eq_lhs, unsigned const *eq_rhs, Z3_ast conseq)
propagate a consequence based on fixed values. This is a callback a client may invoke during the fixed_eh callback. The callback adds a propagation consequence based on the fixed values of the `ids`. 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_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...

Z3_lbool Z3_API Z3_solver_get_consequences (Z3_context c, Z3_solver s, Z3_ast_vector assumptions, Z3_ast_vector variables, Z3_ast_vector consequences)
retrieve consequences from solver that determine values of the supplied function symbols. More...

Z3_ast_vector Z3_API Z3_solver_cube (Z3_context c, Z3_solver s, Z3_ast_vector vars, unsigned backtrack_level)
extract a next cube for a solver. The last cube is the constant `true` or `false`. The number of (non-constant) cubes is by default 1. For the sat solver cubing is controlled using parameters sat.lookahead.cube.cutoff and sat.lookahead.cube.fraction. 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...

Z3_string Z3_API Z3_solver_to_dimacs_string (Z3_context c, Z3_solver s, bool include_names)
Convert a solver into a DIMACS formatted 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...

bool Z3_API Z3_stats_is_uint (Z3_context c, Z3_stats s, unsigned idx)
Return `true` if the given statistical data is a unsigned integer. More...

bool Z3_API Z3_stats_is_double (Z3_context c, Z3_stats s, unsigned idx)
Return `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...

uint64_t Z3_API Z3_get_estimated_alloc_size (void)
Return the estimated allocated memory in bytes. 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...

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...

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 *)

typedef void(* Z3_fixedpoint_new_lemma_eh) (void *state, Z3_ast lemma, unsigned level)

typedef void(* Z3_fixedpoint_predecessor_eh) (void *state)

typedef void(* Z3_fixedpoint_unfold_eh) (void *state)

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_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 building terms based on the relational operators. More...

void Z3_API Z3_fixedpoint_add_callback (Z3_context ctx, Z3_fixedpoint f, void *state, Z3_fixedpoint_new_lemma_eh new_lemma_eh, Z3_fixedpoint_predecessor_eh predecessor_eh, Z3_fixedpoint_unfold_eh unfold_eh)
set export callback for lemmas More...

void Z3_API Z3_fixedpoint_add_constraint (Z3_context c, Z3_fixedpoint d, Z3_ast e, unsigned lvl)

Floating-Point Arithmetic

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, 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, 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, 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, bool sgn, int64_t exp, uint64_t 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...

bool Z3_API Z3_fpa_is_numeral_nan (Z3_context c, Z3_ast t)
Checks whether a given floating-point numeral is a NaN. More...

bool Z3_API Z3_fpa_is_numeral_inf (Z3_context c, Z3_ast t)
Checks whether a given floating-point numeral is a +oo or -oo. More...

bool Z3_API Z3_fpa_is_numeral_zero (Z3_context c, Z3_ast t)
Checks whether a given floating-point numeral is +zero or -zero. More...

bool Z3_API Z3_fpa_is_numeral_normal (Z3_context c, Z3_ast t)
Checks whether a given floating-point numeral is normal. More...

bool Z3_API Z3_fpa_is_numeral_subnormal (Z3_context c, Z3_ast t)
Checks whether a given floating-point numeral is subnormal. More...

bool Z3_API Z3_fpa_is_numeral_positive (Z3_context c, Z3_ast t)
Checks whether a given floating-point numeral is positive. More...

bool Z3_API Z3_fpa_is_numeral_negative (Z3_context c, Z3_ast t)
Checks whether a given floating-point numeral is negative. More...

Z3_ast Z3_API Z3_fpa_get_numeral_sign_bv (Z3_context c, Z3_ast t)
Retrieves the sign of a floating-point literal as a bit-vector expression. More...

Z3_ast Z3_API Z3_fpa_get_numeral_significand_bv (Z3_context c, Z3_ast t)
Retrieves the significand of a floating-point literal as a bit-vector expression. More...

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...

bool Z3_API Z3_fpa_get_numeral_significand_uint64 (Z3_context c, Z3_ast t, uint64_t *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, bool biased)
Return the exponent value of a floating-point numeral as a string. More...

bool Z3_API Z3_fpa_get_numeral_exponent_int64 (Z3_context c, Z3_ast t, int64_t *n, bool biased)
Return the exponent value of a floating-point numeral as a signed 64-bit integer. More...

Z3_ast Z3_API Z3_fpa_get_numeral_exponent_bv (Z3_context c, Z3_ast t, bool biased)
Retrieves the exponent of a floating-point literal as a bit-vector expression. 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...

Optimization 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...

void Z3_API Z3_optimize_assert_and_track (Z3_context c, Z3_optimize o, Z3_ast a, Z3_ast t)
Assert tracked 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, unsigned num_assumptions, Z3_ast const assumptions[])
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...

Z3_ast_vector Z3_API Z3_optimize_get_unsat_core (Z3_context c, Z3_optimize o)
Retrieve the unsat core for the last Z3_optimize_check The unsat core is a subset of the assumptions `a`. 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_ast_vector Z3_API Z3_optimize_get_lower_as_vector (Z3_context c, Z3_optimize o, unsigned idx)
Retrieve lower bound value or approximation for the i'th optimization objective. The returned vector is of length 3. It always contains numerals. The three numerals are coefficients `a`, `b`, `c` and encode the result of Z3_optimize_get_lower `a * infinity + b + c * epsilon`. More...

Z3_ast_vector Z3_API Z3_optimize_get_upper_as_vector (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...

void Z3_API Z3_optimize_from_string (Z3_context c, Z3_optimize o, Z3_string s)
Parse an SMT-LIB2 string with assertions, soft constraints and optimization objectives. Add the parsed constraints and objectives to the optimization context. More...

void Z3_API Z3_optimize_from_file (Z3_context c, Z3_optimize o, Z3_string s)
Parse an SMT-LIB2 file with assertions, soft constraints and optimization objectives. Add the parsed constraints and objectives to the optimization context. 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...

Z3_ast_vector Z3_API Z3_optimize_get_assertions (Z3_context c, Z3_optimize o)
Return the set of asserted formulas on the optimization context. More...

Z3_ast_vector Z3_API Z3_optimize_get_objectives (Z3_context c, Z3_optimize o)
Return objectives on the optimization context. If the objective function is a max-sat objective it is returned as a Pseudo-Boolean (minimization) sum of the form `(+ (if f1 w1 0) (if f2 w2 0) ...)` If the objective function is entered as a maximization objective, then return the corresponding minimization objective. In this way the resulting objective function is always returned as a minimization objective. More...

Polynomials

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

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...

bool Z3_API Z3_rcf_lt (Z3_context c, Z3_rcf_num a, Z3_rcf_num b)
Return `true` if `a < b`. More...

bool Z3_API Z3_rcf_gt (Z3_context c, Z3_rcf_num a, Z3_rcf_num b)
Return `true` if `a > b`. More...

bool Z3_API Z3_rcf_le (Z3_context c, Z3_rcf_num a, Z3_rcf_num b)
Return `true` if `a <= b`. More...

bool Z3_API Z3_rcf_ge (Z3_context c, Z3_rcf_num a, Z3_rcf_num b)
Return `true` if `a >= b`. More...

bool Z3_API Z3_rcf_eq (Z3_context c, Z3_rcf_num a, Z3_rcf_num b)
Return `true` if `a == b`. More...

bool Z3_API Z3_rcf_neq (Z3_context c, Z3_rcf_num a, Z3_rcf_num b)
Return `true` if `a != b`. More...

Z3_string Z3_API Z3_rcf_num_to_string (Z3_context c, Z3_rcf_num a, bool compact, 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...

◆ Z3_FALSE

 #define Z3_FALSE   false

False value. It is just an alias for `false`.

Definition at line 96 of file z3_api.h.

◆ Z3_TRUE

 #define Z3_TRUE   true

True value. It is just an alias for `true`.

Definition at line 91 of file z3_api.h.

◆ Z3_bool

 typedef bool Z3_bool

Z3 Boolean type. It is just an alias for `bool`.

Most of the types in the C API are opaque pointers.

• `Z3_config:` configuration object used to initialize logical contexts.
• `Z3_context:` manager of all other Z3 objects, global configuration options, etc.
• `Z3_symbol:` Lisp-like symbol used to name types, constants, and functions. A symbol can be created using string or integers.
• `Z3_ast:` abstract syntax tree node. That is, the data-structure used in Z3 to represent terms, formulas and types.
• `Z3_sort:` kind of AST used to represent types.
• `Z3_func_decl:` kind of AST used to represent function symbols.
• `Z3_app:` kind of AST used to represent function applications.
• `Z3_pattern:` kind of AST used to represent pattern and multi-patterns used to guide quantifier instantiation.
• `Z3_constructor:` type constructor for a (recursive) datatype.
• `Z3_constructor_list:` list of constructors for a (recursive) datatype.
• `Z3_params:` parameter set used to configure many components such as: simplifiers, tactics, solvers, etc.
• `Z3_param_descrs:` provides a collection of parameter names, their types, default values and documentation strings. Solvers, tactics, and other objects accept different collection of parameters.
• `Z3_model:` model for the constraints asserted into the logical context.
• `Z3_func_interp:` interpretation of a function in a model.
• `Z3_func_entry:` representation of the value of a `Z3_func_interp` at a particular point.
• `Z3_fixedpoint:` context for the recursive predicate solver.
• `Z3_optimize:` context for solving optimization queries.
• `Z3_ast_vector:` vector of `Z3_ast` objects.
• `Z3_ast_map:` mapping from `Z3_ast` to `Z3_ast` objects.
• `Z3_goal:` set of formulas that can be solved and/or transformed using tactics and solvers.
• `Z3_tactic:` basic building block for creating custom solvers for specific problem domains.
• `Z3_probe:` function/predicate used to inspect a goal and collect information that may be used to decide which solver and/or preprocessing step will be used.
• `Z3_apply_result:` collection of subgoals resulting from applying of a tactic to a goal.
• `Z3_solver:` (incremental) solver, possibly specialized by a particular tactic or logic.
• `Z3_stats:` statistical data for a solver.

Definition at line 79 of file z3_api.h.

◆ Z3_char_ptr

 typedef char const* Z3_char_ptr

Definition at line 85 of file z3_api.h.

◆ Z3_eq_eh

 typedef void Z3_eq_eh(void *ctx, Z3_solver_callback cb, unsigned x, unsigned y)

Definition at line 1393 of file z3_api.h.

◆ Z3_error_handler

 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

Definition at line 1383 of file z3_api.h.

◆ Z3_final_eh

 typedef void Z3_final_eh(void *ctx, Z3_solver_callback cb)

Definition at line 1394 of file z3_api.h.

◆ Z3_fixed_eh

 typedef void Z3_fixed_eh(void *ctx, Z3_solver_callback cb, unsigned id, Z3_ast value)

Definition at line 1392 of file z3_api.h.

◆ Z3_fixedpoint_new_lemma_eh

 typedef void(* Z3_fixedpoint_new_lemma_eh) (void *state, Z3_ast lemma, unsigned level)

Definition at line 339 of file z3_fixedpoint.h.

◆ Z3_fixedpoint_predecessor_eh

 typedef void(* Z3_fixedpoint_predecessor_eh) (void *state)

Definition at line 340 of file z3_fixedpoint.h.

◆ Z3_fixedpoint_reduce_app_callback_fptr

 typedef void Z3_fixedpoint_reduce_app_callback_fptr(void *, Z3_func_decl, unsigned, Z3_ast const [], Z3_ast *)

Definition at line 318 of file z3_fixedpoint.h.

◆ Z3_fixedpoint_reduce_assign_callback_fptr

 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.

Definition at line 313 of file z3_fixedpoint.h.

◆ Z3_fixedpoint_unfold_eh

 typedef void(* Z3_fixedpoint_unfold_eh) (void *state)

Definition at line 341 of file z3_fixedpoint.h.

◆ Z3_fresh_eh

 typedef void* Z3_fresh_eh(void *ctx, Z3_context new_context)

Definition at line 1391 of file z3_api.h.

◆ Z3_pop_eh

 typedef void Z3_pop_eh(void *ctx, unsigned num_scopes)

Definition at line 1390 of file z3_api.h.

◆ Z3_push_eh

 typedef void Z3_push_eh(void *ctx)

callback functions for user propagator.

Definition at line 1389 of file z3_api.h.

◆ Z3_string

 typedef const char* Z3_string

Z3 string type. It is just an alias for `const char *`.

Definition at line 84 of file z3_api.h.

◆ Z3_string_ptr

 typedef Z3_string* Z3_string_ptr

Definition at line 86 of file z3_api.h.

◆ Z3_ast_kind

 enum Z3_ast_kind

The different kinds of Z3 AST (abstract syntax trees). That is, terms, formulas and types.

• Z3_APP_AST: constant and applications
• Z3_NUMERAL_AST: numeral constants
• Z3_VAR_AST: bound variables
• Z3_QUANTIFIER_AST: quantifiers
• Z3_SORT_AST: sort
• Z3_FUNC_DECL_AST: function declaration
• Z3_UNKNOWN_AST: internal
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 179 of file z3_api.h.

180 {
182  Z3_APP_AST,
183  Z3_VAR_AST,
185  Z3_SORT_AST,
187  Z3_UNKNOWN_AST = 1000
188 } Z3_ast_kind;
Z3_ast_kind
The different kinds of Z3 AST (abstract syntax trees). That is, terms, formulas and types...
Definition: z3_api.h:179

◆ Z3_ast_print_mode

 enum Z3_ast_print_mode

Z3 pretty printing modes (See Z3_set_ast_print_mode).

• Z3_PRINT_SMTLIB_FULL: Print AST nodes in SMTLIB verbose format.
• Z3_PRINT_LOW_LEVEL: Print AST nodes using a low-level format.
• Z3_PRINT_SMTLIB2_COMPLIANT: Print AST nodes in SMTLIB 2.x compliant format.
Enumerator
Z3_PRINT_SMTLIB_FULL
Z3_PRINT_LOW_LEVEL
Z3_PRINT_SMTLIB2_COMPLIANT

Definition at line 1334 of file z3_api.h.

1334  {
Z3_ast_print_mode
Z3 pretty printing modes (See Z3_set_ast_print_mode).
Definition: z3_api.h:1334

◆ Z3_decl_kind

 enum Z3_decl_kind

The different kinds of interpreted function kinds.

• Z3_OP_TRUE The constant true.
• Z3_OP_FALSE The constant false.
• Z3_OP_EQ The equality predicate.
• Z3_OP_DISTINCT The n-ary distinct predicate (every argument is mutually distinct).
• Z3_OP_ITE The ternary if-then-else term.
• Z3_OP_AND n-ary conjunction.
• Z3_OP_OR n-ary disjunction.
• Z3_OP_IFF equivalence (binary).
• Z3_OP_XOR Exclusive or.
• Z3_OP_NOT Negation.
• Z3_OP_IMPLIES Implication.
• Z3_OP_OEQ Binary equivalence modulo namings. This binary predicate is used in proof terms. It captures equisatisfiability and equivalence modulo renamings.
• Z3_OP_ANUM Arithmetic numeral.
• Z3_OP_AGNUM Arithmetic algebraic numeral. Algebraic numbers are used to represent irrational numbers in Z3.
• Z3_OP_LE <=.
• Z3_OP_GE >=.
• Z3_OP_LT <.
• Z3_OP_GT >.
• Z3_OP_ADD Addition - Binary.
• Z3_OP_SUB Binary subtraction.
• Z3_OP_UMINUS Unary minus.
• Z3_OP_MUL Multiplication - Binary.
• Z3_OP_DIV Division - Binary.
• Z3_OP_IDIV Integer division - Binary.
• Z3_OP_REM Remainder - Binary.
• Z3_OP_MOD Modulus - Binary.
• Z3_OP_TO_REAL Coercion of integer to real - Unary.
• Z3_OP_TO_INT Coercion of real to integer - Unary.
• Z3_OP_IS_INT Check if real is also an integer - Unary.
• Z3_OP_POWER Power operator x^y.
• Z3_OP_STORE Array store. It satisfies select(store(a,i,v),j) = if i = j then v else select(a,j). Array store takes at least 3 arguments.
• Z3_OP_SELECT Array select.
• Z3_OP_CONST_ARRAY The constant array. For example, select(const(v),i) = v holds for every v and i. The function is unary.
• Z3_OP_ARRAY_DEFAULT Default value of arrays. For example default(const(v)) = v. The function is unary.
• Z3_OP_ARRAY_MAP Array map operator. It satisfies mapf[i] = f(a1[i],...,a_n[i]) for every i.
• Z3_OP_SET_UNION Set union between two Boolean arrays (two arrays whose range type is Boolean). The function is binary.
• Z3_OP_SET_INTERSECT Set intersection between two Boolean arrays. The function is binary.
• Z3_OP_SET_DIFFERENCE Set difference between two Boolean arrays. The function is binary.
• Z3_OP_SET_COMPLEMENT Set complement of a Boolean array. The function is unary.
• Z3_OP_SET_SUBSET Subset predicate between two Boolean arrays. The relation is binary.
• Z3_OP_AS_ARRAY An array value that behaves as the function graph of the function passed as parameter.
• Z3_OP_ARRAY_EXT Array extensionality function. It takes two arrays as arguments and produces an index, such that the arrays are different if they are different on the index.
• Z3_OP_BNUM Bit-vector numeral.
• Z3_OP_BIT1 One bit bit-vector.
• Z3_OP_BIT0 Zero bit bit-vector.
• Z3_OP_BNEG Unary minus.
• Z3_OP_BADD Binary addition.
• Z3_OP_BSUB Binary subtraction.
• Z3_OP_BMUL Binary multiplication.
• Z3_OP_BSDIV Binary signed division.
• Z3_OP_BUDIV Binary unsigned division.
• Z3_OP_BSREM Binary signed remainder.
• Z3_OP_BUREM Binary unsigned remainder.
• Z3_OP_BSMOD Binary signed modulus.
• Z3_OP_BSDIV0 Unary function. bsdiv(x,0) is congruent to bsdiv0(x).
• Z3_OP_BUDIV0 Unary function. budiv(x,0) is congruent to budiv0(x).
• Z3_OP_BSREM0 Unary function. bsrem(x,0) is congruent to bsrem0(x).
• Z3_OP_BUREM0 Unary function. burem(x,0) is congruent to burem0(x).
• Z3_OP_BSMOD0 Unary function. bsmod(x,0) is congruent to bsmod0(x).
• Z3_OP_ULEQ Unsigned bit-vector <= - Binary relation.
• Z3_OP_SLEQ Signed bit-vector <= - Binary relation.
• Z3_OP_UGEQ Unsigned bit-vector >= - Binary relation.
• Z3_OP_SGEQ Signed bit-vector >= - Binary relation.
• Z3_OP_ULT Unsigned bit-vector < - Binary relation.
• Z3_OP_SLT Signed bit-vector < - Binary relation.
• Z3_OP_UGT Unsigned bit-vector > - Binary relation.
• Z3_OP_SGT Signed bit-vector > - Binary relation.
• Z3_OP_BAND Bit-wise and - Binary.
• Z3_OP_BOR Bit-wise or - Binary.
• Z3_OP_BNOT Bit-wise not - Unary.
• Z3_OP_BXOR Bit-wise xor - Binary.
• Z3_OP_BNAND Bit-wise nand - Binary.
• Z3_OP_BNOR Bit-wise nor - Binary.
• Z3_OP_BXNOR Bit-wise xnor - Binary.
• Z3_OP_CONCAT Bit-vector concatenation - Binary.
• Z3_OP_SIGN_EXT Bit-vector sign extension.
• Z3_OP_ZERO_EXT Bit-vector zero extension.
• Z3_OP_EXTRACT Bit-vector extraction.
• Z3_OP_REPEAT Repeat bit-vector n times.
• Z3_OP_BREDOR Bit-vector reduce or - Unary.
• Z3_OP_BREDAND Bit-vector reduce and - Unary.
• Z3_OP_BCOMP .
• Z3_OP_BSHL Shift left.
• Z3_OP_BLSHR Logical shift right.
• Z3_OP_BASHR Arithmetical shift right.
• Z3_OP_ROTATE_LEFT Left rotation.
• Z3_OP_ROTATE_RIGHT Right rotation.
• Z3_OP_EXT_ROTATE_LEFT (extended) Left rotation. Similar to Z3_OP_ROTATE_LEFT, but it is a binary operator instead of a parametric one.
• Z3_OP_EXT_ROTATE_RIGHT (extended) Right rotation. Similar to Z3_OP_ROTATE_RIGHT, but it is a binary operator instead of a parametric one.
• Z3_OP_INT2BV Coerce integer to bit-vector. NB. This function is not supported by the decision procedures. Only the most rudimentary simplification rules are applied to this function.
• Z3_OP_BV2INT Coerce bit-vector to integer. NB. This function is not supported by the decision procedures. Only the most rudimentary simplification rules are applied to this function.
• Z3_OP_CARRY Compute the carry bit in a full-adder. The meaning is given by the equivalence (carry l1 l2 l3) <=> (or (and l1 l2) (and l1 l3) (and l2 l3)))
• Z3_OP_XOR3 Compute ternary XOR. The meaning is given by the equivalence (xor3 l1 l2 l3) <=> (xor (xor l1 l2) l3)
• Z3_OP_BSMUL_NO_OVFL: a predicate to check that bit-wise signed multiplication does not overflow. Signed multiplication overflows if the operands have the same sign and the result of multiplication does not fit within the available bits.
See also
Z3_mk_bvmul_no_overflow.
• Z3_OP_BUMUL_NO_OVFL: check that bit-wise unsigned multiplication does not overflow. Unsigned multiplication overflows if the result does not fit within the available bits.
See also
Z3_mk_bvmul_no_overflow.
• Z3_OP_BSMUL_NO_UDFL: check that bit-wise signed multiplication does not underflow. Signed multiplication underflows if the operands have opposite signs and the result of multiplication does not fit within the available bits. Z3_mk_bvmul_no_underflow.
• Z3_OP_BSDIV_I: Binary signed division. It has the same semantics as Z3_OP_BSDIV, but created in a context where the second operand can be assumed to be non-zero.
• Z3_OP_BUDIV_I: Binary unsigned division. It has the same semantics as Z3_OP_BUDIV, but created in a context where the second operand can be assumed to be non-zero.
• Z3_OP_BSREM_I: Binary signed remainder. It has the same semantics as Z3_OP_BSREM, but created in a context where the second operand can be assumed to be non-zero.
• Z3_OP_BUREM_I: Binary unsigned remainder. It has the same semantics as Z3_OP_BUREM, but created in a context where the second operand can be assumed to be non-zero.
• Z3_OP_BSMOD_I: Binary signed modulus. It has the same semantics as Z3_OP_BSMOD, but created in a context where the second operand can be assumed to be non-zero.
• Z3_OP_PR_UNDEF: Undef/Null proof object.
• Z3_OP_PR_TRUE: Proof for the expression 'true'.
• Z3_OP_PR_ASSERTED: Proof for a fact asserted by the user.
• Z3_OP_PR_GOAL: Proof for a fact (tagged as goal) asserted by the user.
• 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)
[mp T1 T2]: q
```

The second antecedents may also be a proof for (iff p q).

• Z3_OP_PR_REFLEXIVITY: A proof for (R t t), where R is a reflexive relation. This proof object has no antecedents. The only reflexive relations that are used are equivalence modulo namings, equality and equivalence. That is, R is either '~', '=' or 'iff'.
• Z3_OP_PR_SYMMETRY: Given an symmetric relation R and a proof for (R t s), produces a proof for (R s t).
```       T1: (R t s)
[symmetry T1]: (R s t)
```
T1 is the antecedent of this proof object.
• Z3_OP_PR_TRANSITIVITY: Given a transitive relation R, and proofs for (R t s) and (R s u), produces a proof for (R t u).
```    T1: (R t s)
T2: (R s u)
[trans T1 T2]: (R t u)
```
• Z3_OP_PR_TRANSITIVITY_STAR: Condensed transitivity proof. It combines several symmetry and transitivity proofs. Example:

```       T1: (R a b)
T2: (R c b)
T3: (R c d)
[trans* T1 T2 T3]: (R a d)
```

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)
[monotonicity T1 ... Tn]: (R (f t_1 ... t_n) (f s_1 ... s_n))
```

Remark: if t_i == s_i, then the antecedent Ti is suppressed. That is, reflexivity proofs are suppressed 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_BIND: Given a proof p, produces a proof of lambda x . p, where x are free variables in p.
``` T1: f
[proof-bind T1] forall (x) f
```
• 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:

```       (= (+ x 0) x)
(= (+ x 1 2) (+ 3 x))
(iff (or x false) x)
```
• Z3_OP_PR_REWRITE_STAR: A proof for rewriting an expression t into an expression s. This proof object can have n antecedents. The antecedents are proofs for equalities used as substitution rules. The proof rule is used in a few cases. The cases are:
• When applying contextual simplification (CONTEXT_SIMPLIFIER=true)
• When converting bit-vectors to Booleans (BIT2BOOL=true)
• Z3_OP_PR_PULL_QUANT: A proof for (iff (f (forall (x) q(x)) r) (forall (x) (f (q x) r))). This proof object has no antecedents.
• 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_QUANT_INST: A proof of (or (not (forall (x) (P x))) (P a))
• Z3_OP_PR_HYPOTHESIS: Mark a hypothesis in a natural deduction style proof.
• Z3_OP_PR_LEMMA:

``` T1: false
[lemma T1]: (or (not l_1) ... (not l_n))
```

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.

• Z3_OP_PR_UNIT_RESOLUTION:
```       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')
```
• Z3_OP_PR_IFF_TRUE:
```    T1: p
[iff-true T1]: (iff p true)
```
• Z3_OP_PR_IFF_FALSE:
```    T1: (not p)
[iff-false T1]: (iff p false)
```
• Z3_OP_PR_COMMUTATIVITY:
``` [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.
```
• Z3_OP_PR_DEF_AXIOM: Proof object used to justify Tseitin's like axioms:
```       (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)
```
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_ASSUMPTION_ADD Clausal proof adding axiom
• Z3_OP_PR_LEMMA_ADD Clausal proof lemma addition
• Z3_OP_PR_REDUNDANT_DEL Clausal proof lemma deletion
• Z3_OP_PR_CLAUSE_TRAIL, Clausal proof trail of additions and deletions
• 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_APPLY_DEF:

[apply-def T1]: F ~ n

F is 'equivalent' to n, given that T1 is a proof that n is a name for F.

• Z3_OP_PR_IFF_OEQ:

T1: (iff p q) [iff~ T1]: (~ p q)

• 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'
[nnf-pos T1 T2 T3 T4]: (~ (iff s_1 s_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
[nnf-pos T1]: (~ (forall (x T) q) (forall (x T) 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
[nnf-neg T1 ... Tn]: (not (and s_1 ... s_n)) ~ (or r_1 ... r_n)

and

T1: (not s_1) ~ r_1
...
Tn: (not s_n) ~ r_n
[nnf-neg T1 ... Tn]: (not (or s_1 ... s_n)) ~ (and r_1 ... 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'
[nnf-neg T1 T2 T3 T4]: (~ (not (iff s_1 s_2))
(and (or r_1 r_2) (or r_1' r_2')))
```
• Z3_OP_PR_SKOLEMIZE: Proof for:

``` [sk]: (~ (not (forall x (p x y))) (not (p (sk y) y)))
[sk]: (~ (exists x (p x y)) (p (sk y) y))
```

This proof object has no antecedents.

• Z3_OP_PR_MODUS_PONENS_OEQ: Modus ponens style rule for equi-satisfiability.
``` T1: p
T2: (~ p q)
[mp~ T1 T2]: 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:
```- farkas - followed by rational coefficients. Multiply the coefficients to the
inequalities in the lemma, add the (negated) inequalities and obtain a contradiction.

- triangle-eq - Indicates a lemma related to the equivalence:

(iff (= t1 t2) (and (<= t1 t2) (<= t2 t1)))

- gcd-test - Indicates an integer linear arithmetic lemma that uses a gcd test.
```
• 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.

• Z3_OP_RA_STORE: Insert a record into a relation. The function takes `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_EMPTY: Creates the empty relation.
• Z3_OP_RA_IS_EMPTY: Tests if the relation is empty.
• Z3_OP_RA_JOIN: Create the relational join.
• Z3_OP_RA_UNION: Create the union or convex hull of two relations. The function takes two arguments.
• Z3_OP_RA_WIDEN: Widen two relations. The function takes two arguments.
• Z3_OP_RA_PROJECT: Project the columns (provided as numbers in the parameters). The function takes one argument.
• Z3_OP_RA_FILTER: Filter (restrict) a relation with respect to a predicate. The first argument is a relation. The second argument is a predicate with free de-Bruijn indices corresponding to the columns of the relation. So the first column in the relation has index 0.
• 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.

• Z3_OP_RA_RENAME: rename columns in the relation. The function takes one argument. The parameters contain the renaming as a cycle.
• Z3_OP_RA_COMPLEMENT: Complement the relation.
• Z3_OP_RA_SELECT: Check if a record is an element of the relation. The function takes `n+1` arguments, where the first argument is a relation, and the remaining `n` arguments correspond to a record.
• Z3_OP_RA_CLONE: Create a fresh copy (clone) of a relation. The function is logically the identity, but in the context of a register machine allows for Z3_OP_RA_UNION to perform destructive updates to the first argument.
• Z3_OP_FD_LT: A less than predicate over the finite domain Z3_FINITE_DOMAIN_SORT.
• Z3_OP_LABEL: A label (used by the Boogie Verification condition generator). The label has two parameters, a string and a Boolean polarity. It takes one argument, a formula.
• Z3_OP_LABEL_LIT: A label literal (used by the Boogie Verification condition generator). A label literal has a set of string parameters. It takes no arguments.
• Z3_OP_DT_CONSTRUCTOR: datatype constructor.
• Z3_OP_DT_RECOGNISER: datatype recognizer.
• Z3_OP_DT_IS: datatype recognizer.
• Z3_OP_DT_ACCESSOR: datatype accessor.
• Z3_OP_DT_UPDATE_FIELD: datatype field update.
• Z3_OP_PB_AT_MOST: Cardinality constraint. E.g., x + y + z <= 2
• Z3_OP_PB_AT_LEAST: Cardinality constraint. E.g., x + y + z >= 2
• Z3_OP_PB_LE: Generalized Pseudo-Boolean cardinality constraint. Example 2*x + 3*y <= 4
• Z3_OP_PB_GE: Generalized Pseudo-Boolean cardinality constraint. Example 2*x + 3*y + 2*z >= 4
• Z3_OP_PB_EQ: Generalized Pseudo-Boolean equality constraint. Example 2*x + 1*y + 2*z + 1*u = 4
• Z3_OP_SPECIAL_RELATION_LO: A relation that is a total linear order
• Z3_OP_SPECIAL_RELATION_PO: A relation that is a partial order
• Z3_OP_SPECIAL_RELATION_PLO: A relation that is a piecewise linear order
• Z3_OP_SPECIAL_RELATION_TO: A relation that is a tree order
• Z3_OP_SPECIAL_RELATION_TC: Transitive closure of a relation
• Z3_OP_SPECIAL_RELATION_TRC: Transitive reflexive closure of a relation
• Z3_OP_FPA_RM_NEAREST_TIES_TO_EVEN: Floating-point rounding mode RNE
• Z3_OP_FPA_RM_NEAREST_TIES_TO_AWAY: Floating-point rounding mode RNA
• Z3_OP_FPA_RM_TOWARD_POSITIVE: Floating-point rounding mode RTP
• Z3_OP_FPA_RM_TOWARD_NEGATIVE: Floating-point rounding mode RTN
• Z3_OP_FPA_RM_TOWARD_ZERO: Floating-point rounding mode RTZ
• Z3_OP_FPA_NUM: Floating-point value
• Z3_OP_FPA_PLUS_INF: Floating-point +oo
• Z3_OP_FPA_MINUS_INF: Floating-point -oo
• Z3_OP_FPA_NAN: Floating-point NaN
• Z3_OP_FPA_PLUS_ZERO: Floating-point +zero
• Z3_OP_FPA_MINUS_ZERO: Floating-point -zero
• Z3_OP_FPA_ADD: Floating-point addition
• Z3_OP_FPA_SUB: Floating-point subtraction
• Z3_OP_FPA_NEG: Floating-point negation
• Z3_OP_FPA_MUL: Floating-point multiplication
• Z3_OP_FPA_DIV: Floating-point division
• Z3_OP_FPA_REM: Floating-point remainder
• Z3_OP_FPA_ABS: Floating-point absolute value
• Z3_OP_FPA_MIN: Floating-point minimum
• Z3_OP_FPA_MAX: Floating-point maximum
• Z3_OP_FPA_FMA: Floating-point fused multiply-add
• Z3_OP_FPA_SQRT: Floating-point square root
• Z3_OP_FPA_ROUND_TO_INTEGRAL: Floating-point round to integral
• Z3_OP_FPA_EQ: Floating-point equality
• Z3_OP_FPA_LT: Floating-point less than
• Z3_OP_FPA_GT: Floating-point greater than
• Z3_OP_FPA_LE: Floating-point less than or equal
• Z3_OP_FPA_GE: Floating-point greater than or equal
• Z3_OP_FPA_IS_NAN: Floating-point isNaN
• Z3_OP_FPA_IS_INF: Floating-point isInfinite
• Z3_OP_FPA_IS_ZERO: Floating-point isZero
• Z3_OP_FPA_IS_NORMAL: Floating-point isNormal
• Z3_OP_FPA_IS_SUBNORMAL: Floating-point isSubnormal
• Z3_OP_FPA_IS_NEGATIVE: Floating-point isNegative
• Z3_OP_FPA_IS_POSITIVE: Floating-point isPositive
• Z3_OP_FPA_FP: Floating-point constructor from 3 bit-vectors
• Z3_OP_FPA_TO_FP: Floating-point conversion (various)
• Z3_OP_FPA_TO_FP_UNSIGNED: Floating-point conversion from unsigned bit-vector
• Z3_OP_FPA_TO_UBV: Floating-point conversion to unsigned bit-vector
• Z3_OP_FPA_TO_SBV: Floating-point conversion to signed bit-vector
• Z3_OP_FPA_TO_REAL: Floating-point conversion to real number
• Z3_OP_FPA_TO_IEEE_BV: Floating-point conversion to IEEE-754 bit-vector
• Z3_OP_FPA_BVWRAP: (Implicitly) represents the internal bitvector- representation of a floating-point term (used for the lazy encoding of non-relevant terms in theory_fpa)
• Z3_OP_FPA_BV2RM: Conversion of a 3-bit bit-vector term to a floating-point rounding-mode term

The conversion uses the following values: 0 = 000 = Z3_OP_FPA_RM_NEAREST_TIES_TO_EVEN, 1 = 001 = Z3_OP_FPA_RM_NEAREST_TIES_TO_AWAY, 2 = 010 = Z3_OP_FPA_RM_TOWARD_POSITIVE, 3 = 011 = Z3_OP_FPA_RM_TOWARD_NEGATIVE, 4 = 100 = Z3_OP_FPA_RM_TOWARD_ZERO.

• Z3_OP_INTERNAL: internal (often interpreted) symbol, but no additional information is exposed. Tools may use the string representation of the function declaration to obtain more information.
• Z3_OP_UNINTERPRETED: kind used for uninterpreted symbols.
Enumerator
Z3_OP_TRUE
Z3_OP_FALSE
Z3_OP_EQ
Z3_OP_DISTINCT
Z3_OP_ITE
Z3_OP_AND
Z3_OP_OR
Z3_OP_IFF
Z3_OP_XOR
Z3_OP_NOT
Z3_OP_IMPLIES
Z3_OP_OEQ
Z3_OP_ANUM
Z3_OP_AGNUM
Z3_OP_LE
Z3_OP_GE
Z3_OP_LT
Z3_OP_GT
Z3_OP_ADD
Z3_OP_SUB
Z3_OP_UMINUS
Z3_OP_MUL
Z3_OP_DIV
Z3_OP_IDIV
Z3_OP_REM
Z3_OP_MOD
Z3_OP_TO_REAL
Z3_OP_TO_INT
Z3_OP_IS_INT
Z3_OP_POWER
Z3_OP_STORE
Z3_OP_SELECT
Z3_OP_CONST_ARRAY
Z3_OP_ARRAY_MAP
Z3_OP_ARRAY_DEFAULT
Z3_OP_SET_UNION
Z3_OP_SET_INTERSECT
Z3_OP_SET_DIFFERENCE
Z3_OP_SET_COMPLEMENT
Z3_OP_SET_SUBSET
Z3_OP_AS_ARRAY
Z3_OP_ARRAY_EXT
Z3_OP_SET_HAS_SIZE
Z3_OP_SET_CARD
Z3_OP_BNUM
Z3_OP_BIT1
Z3_OP_BIT0
Z3_OP_BNEG
Z3_OP_BADD
Z3_OP_BSUB
Z3_OP_BMUL
Z3_OP_BSDIV
Z3_OP_BUDIV
Z3_OP_BSREM
Z3_OP_BUREM
Z3_OP_BSMOD
Z3_OP_BSDIV0
Z3_OP_BUDIV0
Z3_OP_BSREM0
Z3_OP_BUREM0
Z3_OP_BSMOD0
Z3_OP_ULEQ
Z3_OP_SLEQ
Z3_OP_UGEQ
Z3_OP_SGEQ
Z3_OP_ULT
Z3_OP_SLT
Z3_OP_UGT
Z3_OP_SGT
Z3_OP_BAND
Z3_OP_BOR
Z3_OP_BNOT
Z3_OP_BXOR
Z3_OP_BNAND
Z3_OP_BNOR
Z3_OP_BXNOR
Z3_OP_CONCAT
Z3_OP_SIGN_EXT
Z3_OP_ZERO_EXT
Z3_OP_EXTRACT
Z3_OP_REPEAT
Z3_OP_BREDOR
Z3_OP_BREDAND
Z3_OP_BCOMP
Z3_OP_BSHL
Z3_OP_BLSHR
Z3_OP_BASHR
Z3_OP_ROTATE_LEFT
Z3_OP_ROTATE_RIGHT
Z3_OP_EXT_ROTATE_LEFT
Z3_OP_EXT_ROTATE_RIGHT
Z3_OP_BIT2BOOL
Z3_OP_INT2BV
Z3_OP_BV2INT
Z3_OP_CARRY
Z3_OP_XOR3
Z3_OP_BSMUL_NO_OVFL
Z3_OP_BUMUL_NO_OVFL
Z3_OP_BSMUL_NO_UDFL
Z3_OP_BSDIV_I
Z3_OP_BUDIV_I
Z3_OP_BSREM_I
Z3_OP_BUREM_I
Z3_OP_BSMOD_I
Z3_OP_PR_UNDEF
Z3_OP_PR_TRUE
Z3_OP_PR_ASSERTED
Z3_OP_PR_GOAL
Z3_OP_PR_MODUS_PONENS
Z3_OP_PR_REFLEXIVITY
Z3_OP_PR_SYMMETRY
Z3_OP_PR_TRANSITIVITY
Z3_OP_PR_TRANSITIVITY_STAR
Z3_OP_PR_MONOTONICITY
Z3_OP_PR_QUANT_INTRO
Z3_OP_PR_BIND
Z3_OP_PR_DISTRIBUTIVITY
Z3_OP_PR_AND_ELIM
Z3_OP_PR_NOT_OR_ELIM
Z3_OP_PR_REWRITE
Z3_OP_PR_REWRITE_STAR
Z3_OP_PR_PULL_QUANT
Z3_OP_PR_PUSH_QUANT
Z3_OP_PR_ELIM_UNUSED_VARS
Z3_OP_PR_DER
Z3_OP_PR_QUANT_INST
Z3_OP_PR_HYPOTHESIS
Z3_OP_PR_LEMMA
Z3_OP_PR_UNIT_RESOLUTION
Z3_OP_PR_IFF_TRUE
Z3_OP_PR_IFF_FALSE
Z3_OP_PR_COMMUTATIVITY
Z3_OP_PR_DEF_AXIOM
Z3_OP_PR_ASSUMPTION_ADD
Z3_OP_PR_LEMMA_ADD
Z3_OP_PR_REDUNDANT_DEL
Z3_OP_PR_CLAUSE_TRAIL
Z3_OP_PR_DEF_INTRO
Z3_OP_PR_APPLY_DEF
Z3_OP_PR_IFF_OEQ
Z3_OP_PR_NNF_POS
Z3_OP_PR_NNF_NEG
Z3_OP_PR_SKOLEMIZE
Z3_OP_PR_MODUS_PONENS_OEQ
Z3_OP_PR_TH_LEMMA
Z3_OP_PR_HYPER_RESOLVE
Z3_OP_RA_STORE
Z3_OP_RA_EMPTY
Z3_OP_RA_IS_EMPTY
Z3_OP_RA_JOIN
Z3_OP_RA_UNION
Z3_OP_RA_WIDEN
Z3_OP_RA_PROJECT
Z3_OP_RA_FILTER
Z3_OP_RA_NEGATION_FILTER
Z3_OP_RA_RENAME
Z3_OP_RA_COMPLEMENT
Z3_OP_RA_SELECT
Z3_OP_RA_CLONE
Z3_OP_FD_CONSTANT
Z3_OP_FD_LT
Z3_OP_SEQ_UNIT
Z3_OP_SEQ_EMPTY
Z3_OP_SEQ_CONCAT
Z3_OP_SEQ_PREFIX
Z3_OP_SEQ_SUFFIX
Z3_OP_SEQ_CONTAINS
Z3_OP_SEQ_EXTRACT
Z3_OP_SEQ_REPLACE
Z3_OP_SEQ_AT
Z3_OP_SEQ_NTH
Z3_OP_SEQ_LENGTH
Z3_OP_SEQ_INDEX
Z3_OP_SEQ_LAST_INDEX
Z3_OP_SEQ_TO_RE
Z3_OP_SEQ_IN_RE
Z3_OP_STR_TO_INT
Z3_OP_INT_TO_STR
Z3_OP_STRING_LT
Z3_OP_STRING_LE
Z3_OP_RE_PLUS
Z3_OP_RE_STAR
Z3_OP_RE_OPTION
Z3_OP_RE_CONCAT
Z3_OP_RE_UNION
Z3_OP_RE_RANGE
Z3_OP_RE_LOOP
Z3_OP_RE_INTERSECT
Z3_OP_RE_EMPTY_SET
Z3_OP_RE_FULL_SET
Z3_OP_RE_COMPLEMENT
Z3_OP_LABEL
Z3_OP_LABEL_LIT
Z3_OP_DT_CONSTRUCTOR
Z3_OP_DT_RECOGNISER
Z3_OP_DT_IS
Z3_OP_DT_ACCESSOR
Z3_OP_DT_UPDATE_FIELD
Z3_OP_PB_AT_MOST
Z3_OP_PB_AT_LEAST
Z3_OP_PB_LE
Z3_OP_PB_GE
Z3_OP_PB_EQ
Z3_OP_SPECIAL_RELATION_LO
Z3_OP_SPECIAL_RELATION_PO
Z3_OP_SPECIAL_RELATION_PLO
Z3_OP_SPECIAL_RELATION_TO
Z3_OP_SPECIAL_RELATION_TC
Z3_OP_SPECIAL_RELATION_TRC
Z3_OP_FPA_RM_NEAREST_TIES_TO_EVEN
Z3_OP_FPA_RM_NEAREST_TIES_TO_AWAY
Z3_OP_FPA_RM_TOWARD_POSITIVE
Z3_OP_FPA_RM_TOWARD_NEGATIVE
Z3_OP_FPA_RM_TOWARD_ZERO
Z3_OP_FPA_NUM
Z3_OP_FPA_PLUS_INF
Z3_OP_FPA_MINUS_INF
Z3_OP_FPA_NAN
Z3_OP_FPA_PLUS_ZERO
Z3_OP_FPA_MINUS_ZERO
Z3_OP_FPA_ADD
Z3_OP_FPA_SUB
Z3_OP_FPA_NEG
Z3_OP_FPA_MUL
Z3_OP_FPA_DIV
Z3_OP_FPA_REM
Z3_OP_FPA_ABS
Z3_OP_FPA_MIN
Z3_OP_FPA_MAX
Z3_OP_FPA_FMA
Z3_OP_FPA_SQRT
Z3_OP_FPA_ROUND_TO_INTEGRAL
Z3_OP_FPA_EQ
Z3_OP_FPA_LT
Z3_OP_FPA_GT
Z3_OP_FPA_LE
Z3_OP_FPA_GE
Z3_OP_FPA_IS_NAN
Z3_OP_FPA_IS_INF
Z3_OP_FPA_IS_ZERO
Z3_OP_FPA_IS_NORMAL
Z3_OP_FPA_IS_SUBNORMAL
Z3_OP_FPA_IS_NEGATIVE
Z3_OP_FPA_IS_POSITIVE
Z3_OP_FPA_FP
Z3_OP_FPA_TO_FP
Z3_OP_FPA_TO_FP_UNSIGNED
Z3_OP_FPA_TO_UBV
Z3_OP_FPA_TO_SBV
Z3_OP_FPA_TO_REAL
Z3_OP_FPA_TO_IEEE_BV
Z3_OP_FPA_BVWRAP
Z3_OP_FPA_BV2RM
Z3_OP_INTERNAL
Z3_OP_UNINTERPRETED

Definition at line 1000 of file z3_api.h.

1000  {
1001  // Basic
1002  Z3_OP_TRUE = 0x100,
1003  Z3_OP_FALSE,
1004  Z3_OP_EQ,
1006  Z3_OP_ITE,
1007  Z3_OP_AND,
1008  Z3_OP_OR,
1009  Z3_OP_IFF,
1010  Z3_OP_XOR,
1011  Z3_OP_NOT,
1012  Z3_OP_IMPLIES,
1013  Z3_OP_OEQ,
1014
1015  // Arithmetic
1016  Z3_OP_ANUM = 0x200,
1017  Z3_OP_AGNUM,
1018  Z3_OP_LE,
1019  Z3_OP_GE,
1020  Z3_OP_LT,
1021  Z3_OP_GT,
1022  Z3_OP_ADD,
1023  Z3_OP_SUB,
1024  Z3_OP_UMINUS,
1025  Z3_OP_MUL,
1026  Z3_OP_DIV,
1027  Z3_OP_IDIV,
1028  Z3_OP_REM,
1029  Z3_OP_MOD,
1030  Z3_OP_TO_REAL,
1031  Z3_OP_TO_INT,
1032  Z3_OP_IS_INT,
1033  Z3_OP_POWER,
1034
1035  // Arrays & Sets
1036  Z3_OP_STORE = 0x300,
1037  Z3_OP_SELECT,
1050
1051  // Bit-vectors
1052  Z3_OP_BNUM = 0x400,
1053  Z3_OP_BIT1,
1054  Z3_OP_BIT0,
1055  Z3_OP_BNEG,
1056  Z3_OP_BADD,
1057  Z3_OP_BSUB,
1058  Z3_OP_BMUL,
1059
1060  Z3_OP_BSDIV,
1061  Z3_OP_BUDIV,
1062  Z3_OP_BSREM,
1063  Z3_OP_BUREM,
1064  Z3_OP_BSMOD,
1065
1066  // special functions to record the division by 0 cases
1067  // these are internal functions
1068  Z3_OP_BSDIV0,
1069  Z3_OP_BUDIV0,
1070  Z3_OP_BSREM0,
1071  Z3_OP_BUREM0,
1072  Z3_OP_BSMOD0,
1073
1074  Z3_OP_ULEQ,
1075  Z3_OP_SLEQ,
1076  Z3_OP_UGEQ,
1077  Z3_OP_SGEQ,
1078  Z3_OP_ULT,
1079  Z3_OP_SLT,
1080  Z3_OP_UGT,
1081  Z3_OP_SGT,
1082
1083  Z3_OP_BAND,
1084  Z3_OP_BOR,
1085  Z3_OP_BNOT,
1086  Z3_OP_BXOR,
1087  Z3_OP_BNAND,
1088  Z3_OP_BNOR,
1089  Z3_OP_BXNOR,
1090
1091  Z3_OP_CONCAT,
1094  Z3_OP_EXTRACT,
1095  Z3_OP_REPEAT,
1096
1097  Z3_OP_BREDOR,
1098  Z3_OP_BREDAND,
1099  Z3_OP_BCOMP,
1100
1101  Z3_OP_BSHL,
1102  Z3_OP_BLSHR,
1103  Z3_OP_BASHR,
1108
1110  Z3_OP_INT2BV,
1111  Z3_OP_BV2INT,
1112  Z3_OP_CARRY,
1113  Z3_OP_XOR3,
1114
1118  Z3_OP_BSDIV_I,
1119  Z3_OP_BUDIV_I,
1120  Z3_OP_BSREM_I,
1121  Z3_OP_BUREM_I,
1122  Z3_OP_BSMOD_I,
1123
1124  // Proofs
1125  Z3_OP_PR_UNDEF = 0x500,
1126  Z3_OP_PR_TRUE,
1128  Z3_OP_PR_GOAL,
1136  Z3_OP_PR_BIND,
1145  Z3_OP_PR_DER,
1167
1168  // Relational algebra
1169  Z3_OP_RA_STORE = 0x600,
1172  Z3_OP_RA_JOIN,
1183  Z3_OP_FD_LT,
1184
1185  // Sequences
1194  Z3_OP_SEQ_AT,
1195  Z3_OP_SEQ_NTH,
1201
1202  // strings
1207
1208  // regular expressions
1209  Z3_OP_RE_PLUS,
1210  Z3_OP_RE_STAR,
1215  Z3_OP_RE_LOOP,
1220
1221  // Auxiliary
1222  Z3_OP_LABEL = 0x700,
1224
1225  // Datatypes
1226  Z3_OP_DT_CONSTRUCTOR=0x800,
1228  Z3_OP_DT_IS,
1231
1232  // Pseudo Booleans
1233  Z3_OP_PB_AT_MOST=0x900,
1235  Z3_OP_PB_LE,
1236  Z3_OP_PB_GE,
1237  Z3_OP_PB_EQ,
1238
1239  // Special relations
1240  Z3_OP_SPECIAL_RELATION_LO = 0xa000,
1246
1247
1248  // Floating-Point Arithmetic
1254
1255  Z3_OP_FPA_NUM,
1258  Z3_OP_FPA_NAN,
1261
1262  Z3_OP_FPA_ADD,
1263  Z3_OP_FPA_SUB,
1264  Z3_OP_FPA_NEG,
1265  Z3_OP_FPA_MUL,
1266  Z3_OP_FPA_DIV,
1267  Z3_OP_FPA_REM,
1268  Z3_OP_FPA_ABS,
1269  Z3_OP_FPA_MIN,
1270  Z3_OP_FPA_MAX,
1271  Z3_OP_FPA_FMA,
1274
1275  Z3_OP_FPA_EQ,
1276  Z3_OP_FPA_LT,
1277  Z3_OP_FPA_GT,
1278  Z3_OP_FPA_LE,
1279  Z3_OP_FPA_GE,
1287
1288  Z3_OP_FPA_FP,
1294
1296
1299
1301
1303 } Z3_decl_kind;
Z3_decl_kind
The different kinds of interpreted function kinds.
Definition: z3_api.h:1000

◆ Z3_error_code

 enum Z3_error_code

Z3 error codes (See Z3_get_error_code).

• Z3_OK: No error.
• Z3_SORT_ERROR: User tried to build an invalid (type incorrect) AST.
• Z3_IOB: Index out of bounds.
• Z3_INVALID_ARG: Invalid argument was provided.
• Z3_PARSER_ERROR: An error occurred when parsing a string or file.
• Z3_NO_PARSER: Parser output is not available, that is, user didn't invoke Z3_parse_smtlib2_string or Z3_parse_smtlib2_file.
• Z3_INVALID_PATTERN: Invalid pattern was used to build a quantifier.
• Z3_MEMOUT_FAIL: A memory allocation failure was encountered.
• Z3_FILE_ACCESS_ERRROR: A file could not be accessed.
• Z3_INVALID_USAGE: API call is invalid in the current state.
• Z3_INTERNAL_FATAL: An error internal to Z3 occurred.
• Z3_DEC_REF_ERROR: Trying to decrement the reference counter of an AST that was deleted or the reference counter was not initialized with Z3_inc_ref.
• Z3_EXCEPTION: Internal Z3 exception. Additional details can be retrieved using Z3_get_error_msg.
Enumerator
Z3_OK
Z3_SORT_ERROR
Z3_IOB
Z3_INVALID_ARG
Z3_PARSER_ERROR
Z3_NO_PARSER
Z3_INVALID_PATTERN
Z3_MEMOUT_FAIL
Z3_FILE_ACCESS_ERROR
Z3_INTERNAL_FATAL
Z3_INVALID_USAGE
Z3_DEC_REF_ERROR
Z3_EXCEPTION

Definition at line 1358 of file z3_api.h.

◆ Z3_goal_prec

 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.

• Z3_GOAL_PRECISE: Approximations/Relaxations were not applied on the goal (sat and unsat answers were preserved).
• Z3_GOAL_UNDER: Goal is the product of a under-approximation (sat answers are preserved).
• Z3_GOAL_OVER: Goal is the product of an over-approximation (unsat answers are preserved).
• Z3_GOAL_UNDER_OVER: Goal is garbage (it is the product of over- and under-approximations, sat and unsat answers are not preserved).
Enumerator
Z3_GOAL_PRECISE
Z3_GOAL_UNDER
Z3_GOAL_OVER
Z3_GOAL_UNDER_OVER

Definition at line 1406 of file z3_api.h.

1407 {
1409  Z3_GOAL_UNDER,
1410  Z3_GOAL_OVER,
1412 } Z3_goal_prec;
Z3_goal_prec
A Goal is essentially a set of formulas. Z3 provide APIs for building strategies/tactics for solving ...
Definition: z3_api.h:1406

◆ Z3_lbool

 enum Z3_lbool

Lifted Boolean type: `false`, `undefined`, `true`.

Enumerator
Z3_L_FALSE
Z3_L_UNDEF
Z3_L_TRUE

Definition at line 101 of file z3_api.h.

102 {
103  Z3_L_FALSE = -1,
104  Z3_L_UNDEF,
105  Z3_L_TRUE
106 } Z3_lbool;
Z3_lbool
Lifted Boolean type: false, undefined, true.
Definition: z3_api.h:101

◆ Z3_param_kind

 enum Z3_param_kind

The different kinds of parameters that can be associated with parameter sets. (see Z3_mk_params).

• Z3_PK_UINT integer parameters.
• Z3_PK_BOOL boolean parameters.
• Z3_PK_DOUBLE double parameters.
• Z3_PK_SYMBOL symbol parameters.
• Z3_PK_STRING string parameters.
• Z3_PK_OTHER all internal parameter kinds which are not exposed in the API.
• Z3_PK_INVALID invalid parameter.
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 1317 of file z3_api.h.

1317  {
1318  Z3_PK_UINT,
1319  Z3_PK_BOOL,
1320  Z3_PK_DOUBLE,
1321  Z3_PK_SYMBOL,
1322  Z3_PK_STRING,
1323  Z3_PK_OTHER,
1325 } Z3_param_kind;
Z3_param_kind
The different kinds of parameters that can be associated with parameter sets. (see Z3_mk_params)...
Definition: z3_api.h:1317

◆ Z3_parameter_kind

 enum Z3_parameter_kind

The different kinds of parameters that can be associated with function symbols.

See also
Z3_get_decl_num_parameters
Z3_get_decl_parameter_kind
• Z3_PARAMETER_INT is used for integer parameters.
• Z3_PARAMETER_DOUBLE is used for double parameters.
• Z3_PARAMETER_RATIONAL is used for parameters that are rational numbers.
• Z3_PARAMETER_SYMBOL is used for parameters that are symbols.
• Z3_PARAMETER_SORT is used for sort parameters.
• Z3_PARAMETER_AST is used for expression parameters.
• Z3_PARAMETER_FUNC_DECL is used for function declaration parameters.
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 135 of file z3_api.h.

136 {
Z3_parameter_kind
The different kinds of parameters that can be associated with function symbols.
Definition: z3_api.h:135

◆ Z3_sort_kind

 enum Z3_sort_kind

The different kinds of Z3 types (See Z3_get_sort_kind).

Enumerator
Z3_UNINTERPRETED_SORT
Z3_BOOL_SORT
Z3_INT_SORT
Z3_REAL_SORT
Z3_BV_SORT
Z3_ARRAY_SORT
Z3_DATATYPE_SORT
Z3_RELATION_SORT
Z3_FINITE_DOMAIN_SORT
Z3_FLOATING_POINT_SORT
Z3_ROUNDING_MODE_SORT
Z3_SEQ_SORT
Z3_RE_SORT
Z3_UNKNOWN_SORT

Definition at line 149 of file z3_api.h.

150 {
152  Z3_BOOL_SORT,
153  Z3_INT_SORT,
154  Z3_REAL_SORT,
155  Z3_BV_SORT,
162  Z3_SEQ_SORT,
163  Z3_RE_SORT,
164  Z3_UNKNOWN_SORT = 1000
165 } Z3_sort_kind;
Z3_sort_kind
The different kinds of Z3 types (See Z3_get_sort_kind).
Definition: z3_api.h:149

◆ Z3_symbol_kind

 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).

See also
Z3_mk_int_symbol
Z3_mk_string_symbol
Enumerator
Z3_INT_SYMBOL
Z3_STRING_SYMBOL

Definition at line 115 of file z3_api.h.

116 {
Z3_symbol_kind
The different kinds of symbol. In Z3, a symbol can be represented using integers and strings (See Z3_...
Definition: z3_api.h:115

◆ Z3_add_const_interp()

 void Z3_API Z3_add_const_interp ( Z3_context c, Z3_model m, Z3_func_decl f, Z3_ast a )

Add a constant interpretation.

Referenced by model::add_const_interp().

◆ Z3_add_func_interp()

 Z3_func_interp Z3_API Z3_add_func_interp ( Z3_context c, Z3_model m, Z3_func_decl f, Z3_ast default_value )

Create a fresh func_interp object, add it to a model for a specified function. It has reference count 0.

Parameters
 c context m model f function declaration default_value default value for function interpretation

Referenced by model::add_func_interp().

◆ Z3_add_rec_def()

 void Z3_API Z3_add_rec_def ( Z3_context c, Z3_func_decl f, unsigned n, Z3_ast args[], Z3_ast body )

Define the body of a recursive function.

Parameters
 c logical context. f function declaration. n number of arguments to the function args constants that are used as arguments to the recursive function in the definition. body body of the recursive function

After declaring a recursive function or a collection of mutually recursive functions, use this function to provide the definition for the recursive function.

See also
Z3_mk_rec_func_decl

Referenced by z3py::RecAddDefinition(), and context::recdef().

◆ Z3_algebraic_add()

 Z3_ast Z3_API Z3_algebraic_add ( Z3_context c, Z3_ast a, Z3_ast b )

Return the value a + b.

Precondition
Z3_algebraic_is_value(c, a)
Z3_algebraic_is_value(c, b)
Postcondition
Z3_algebraic_is_value(c, result)

◆ Z3_algebraic_div()

 Z3_ast Z3_API Z3_algebraic_div ( Z3_context c, Z3_ast a, Z3_ast b )

Return the value a / b.

Precondition
Z3_algebraic_is_value(c, a)
Z3_algebraic_is_value(c, b)
!Z3_algebraic_is_zero(c, b)
Postcondition
Z3_algebraic_is_value(c, result)

◆ Z3_algebraic_eq()

 bool Z3_API Z3_algebraic_eq ( Z3_context c, Z3_ast a, Z3_ast b )

Return `true` if a == b, and `false` otherwise.

Precondition
Z3_algebraic_is_value(c, a)
Z3_algebraic_is_value(c, b)

◆ Z3_algebraic_eval()

 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]).

Precondition
p is a Z3 expression that contains only arithmetic terms and free variables.
forall i in [0, n) Z3_algebraic_is_value(c, a[i])

◆ Z3_algebraic_ge()

 bool Z3_API Z3_algebraic_ge ( Z3_context c, Z3_ast a, Z3_ast b )

Return `true` if a >= b, and `false` otherwise.

Precondition
Z3_algebraic_is_value(c, a)
Z3_algebraic_is_value(c, b)

◆ Z3_algebraic_get_i()

 unsigned Z3_API Z3_algebraic_get_i ( Z3_context c, Z3_ast a )

Return which root of the polynomial the algebraic number represents.

Precondition
Z3_algebraic_is_value(c, a)

Referenced by expr::algebraic_i().

◆ Z3_algebraic_get_poly()

 Z3_ast_vector Z3_API Z3_algebraic_get_poly ( Z3_context c, Z3_ast a )

Return the coefficients of the defining polynomial.

Precondition
Z3_algebraic_is_value(c, a)

Referenced by expr::algebraic_poly().

◆ Z3_algebraic_gt()

 bool Z3_API Z3_algebraic_gt ( Z3_context c, Z3_ast a, Z3_ast b )

Return `true` if a > b, and `false` otherwise.

Precondition
Z3_algebraic_is_value(c, a)
Z3_algebraic_is_value(c, b)

◆ Z3_algebraic_is_neg()

 bool Z3_API Z3_algebraic_is_neg ( Z3_context c, Z3_ast a )

Return `true` if `a` is negative, and `false` otherwise.

Precondition
Z3_algebraic_is_value(c, a)

◆ Z3_algebraic_is_pos()

 bool Z3_API Z3_algebraic_is_pos ( Z3_context c, Z3_ast a )

Return `true` if `a` is positive, and `false` otherwise.

Precondition
Z3_algebraic_is_value(c, a)

◆ Z3_algebraic_is_value()

 bool Z3_API Z3_algebraic_is_value ( Z3_context c, Z3_ast a )

Return `true` if `a` can be used as value in the Z3 real algebraic number package.

◆ Z3_algebraic_is_zero()

 bool Z3_API Z3_algebraic_is_zero ( Z3_context c, Z3_ast a )

Return `true` if `a` is zero, and `false` otherwise.

Precondition
Z3_algebraic_is_value(c, a)

◆ Z3_algebraic_le()

 bool Z3_API Z3_algebraic_le ( Z3_context c, Z3_ast a, Z3_ast b )

Return `true` if a <= b, and `false` otherwise.

Precondition
Z3_algebraic_is_value(c, a)
Z3_algebraic_is_value(c, b)

◆ Z3_algebraic_lt()

 bool Z3_API Z3_algebraic_lt ( Z3_context c, Z3_ast a, Z3_ast b )

Return `true` if a < b, and `false` otherwise.

Precondition
Z3_algebraic_is_value(c, a)
Z3_algebraic_is_value(c, b)

◆ Z3_algebraic_mul()

 Z3_ast Z3_API Z3_algebraic_mul ( Z3_context c, Z3_ast a, Z3_ast b )

Return the value a * b.

Precondition
Z3_algebraic_is_value(c, a)
Z3_algebraic_is_value(c, b)
Postcondition
Z3_algebraic_is_value(c, result)

◆ Z3_algebraic_neq()

 bool Z3_API Z3_algebraic_neq ( Z3_context c, Z3_ast a, Z3_ast b )

Return `true` if a != b, and `false` otherwise.

Precondition
Z3_algebraic_is_value(c, a)
Z3_algebraic_is_value(c, b)

◆ Z3_algebraic_power()

 Z3_ast Z3_API Z3_algebraic_power ( Z3_context c, Z3_ast a, unsigned k )

Return the a^k.

Precondition
Z3_algebraic_is_value(c, a)
Postcondition
Z3_algebraic_is_value(c, result)

◆ Z3_algebraic_root()

 Z3_ast Z3_API Z3_algebraic_root ( Z3_context c, Z3_ast a, unsigned k )

Return the a^(1/k)

Precondition
Z3_algebraic_is_value(c, a)
k is even => !Z3_algebraic_is_neg(c, a)
Postcondition
Z3_algebraic_is_value(c, result)

◆ Z3_algebraic_roots()

 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).

Precondition
p is a Z3 expression that contains only arithmetic terms and free variables.
forall i in [0, n) Z3_algebraic_is_value(c, a[i])
Postcondition
forall r in result Z3_algebraic_is_value(c, result)

◆ Z3_algebraic_sign()

 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.

Precondition
Z3_algebraic_is_value(c, a)

◆ Z3_algebraic_sub()

 Z3_ast Z3_API Z3_algebraic_sub ( Z3_context c, Z3_ast a, Z3_ast b )

Return the value a - b.

Precondition
Z3_algebraic_is_value(c, a)
Z3_algebraic_is_value(c, b)
Postcondition
Z3_algebraic_is_value(c, result)

◆ Z3_app_to_ast()

 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.

◆ Z3_append_log()

 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_apply_result_dec_ref()

 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().

◆ Z3_apply_result_get_num_subgoals()

 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_apply_result_get_subgoal()

 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.

Precondition
i < Z3_apply_result_get_num_subgoals(c, r)

Referenced by ApplyResult::__getitem__(), and apply_result::operator[]().

◆ Z3_apply_result_inc_ref()

 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_apply_result_to_string()

 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 z3::operator<<(), and ApplyResult::sexpr().

◆ Z3_ast_map_contains()

 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`.

◆ Z3_ast_map_dec_ref()

 void Z3_API Z3_ast_map_dec_ref ( Z3_context c, Z3_ast_map m )

Decrement the reference counter of the given AST map.

◆ Z3_ast_map_erase()

 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_map_find()

 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.

◆ Z3_ast_map_inc_ref()

 void Z3_API Z3_ast_map_inc_ref ( Z3_context c, Z3_ast_map m )

Increment the reference counter of the given AST map.

◆ Z3_ast_map_insert()

 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_map_keys()

 Z3_ast_vector Z3_API Z3_ast_map_keys ( Z3_context c, Z3_ast_map m )

Return the keys stored in the given map.

◆ Z3_ast_map_reset()

 void Z3_API Z3_ast_map_reset ( Z3_context c, Z3_ast_map m )

Remove all keys from the given map.

◆ Z3_ast_map_size()

 unsigned Z3_API Z3_ast_map_size ( Z3_context c, Z3_ast_map m )

Return the size of the given map.

◆ Z3_ast_map_to_string()

 Z3_string Z3_API Z3_ast_map_to_string ( Z3_context c, Z3_ast_map m )

Convert the given map into a string.

◆ Z3_ast_to_string()

 Z3_string Z3_API Z3_ast_to_string ( Z3_context c, Z3_ast a )

Convert the given AST node into a string.

Warning
The result buffer is statically allocated by Z3. It will be automatically deallocated when Z3_del_context is invoked. So, the buffer is invalidated in the next call to `Z3_ast_to_string`.
See also
Z3_pattern_to_string
Z3_sort_to_string

Referenced by FiniteDomainRef::as_string(), z3::operator<<(), AstRef::sexpr(), and ast::to_string().

◆ Z3_ast_vector_dec_ref()

 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< expr >::operator=(), and ast_vector_tpl< expr >::~ast_vector_tpl().

◆ Z3_ast_vector_get()

 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`.

Precondition
i < Z3_ast_vector_size(c, v)

Referenced by ast_vector_tpl< expr >::operator[]().

◆ Z3_ast_vector_inc_ref()

 void Z3_API Z3_ast_vector_inc_ref ( Z3_context c, Z3_ast_vector v )

Increment the reference counter of the given AST vector.

◆ Z3_ast_vector_push()

 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< expr >::push_back().

◆ Z3_ast_vector_resize()

 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< expr >::resize().

◆ Z3_ast_vector_set()

 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`.

Precondition
i < Z3_ast_vector_size(c, v)

Referenced by ast_vector_tpl< expr >::set(), and ast_vector_tpl< T >::iterator::set().

◆ Z3_ast_vector_size()

 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< expr >::size().

◆ Z3_ast_vector_to_string()

 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_translate()

 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`.

Referenced by ast_vector_tpl< expr >::ast_vector_tpl().

◆ Z3_benchmark_to_smtlib_string()

 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.

Warning
The result buffer is statically allocated by Z3. It will be automatically deallocated when Z3_del_context is invoked. So, the buffer is invalidated in the next call to `Z3_benchmark_to_smtlib_string`.
Parameters
 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().

◆ Z3_close_log()

 void Z3_API Z3_close_log ( void )

Close interaction log.

◆ Z3_datatype_update_field()

 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

See also
Z3_mk_store). If the datatype has more than one constructor, then the update function behaves as identity if there is a mismatch between the accessor and constructor. For example ((_ update-field car) nil 1) is nil, while ((_ update-field car) (cons 2 nil) 1) is (cons 1 nil).
Precondition
Z3_get_sort_kind(Z3_get_sort(c, t)) == Z3_get_domain(c, field_access, 1) == Z3_DATATYPE_SORT
Z3_get_sort(c, value) == Z3_get_range(c, field_access)

◆ Z3_dec_ref()

 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().

◆ Z3_del_config()

 void Z3_API Z3_del_config ( Z3_config c )

Delete the given configuration object.

See also
Z3_mk_config

Referenced by config::~config().

◆ Z3_del_constructor()

 void Z3_API Z3_del_constructor ( Z3_context c, Z3_constructor constr )

Reclaim memory allocated to constructor.

Parameters
 c logical context. constr constructor.
See also
Z3_mk_constructor

◆ Z3_del_constructor_list()

 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.

Parameters
 c logical context. clist constructor list container.
See also
Z3_mk_constructor_list

◆ Z3_del_context()

 void Z3_API Z3_del_context ( Z3_context c )

Delete the given logical context.

See also
Z3_mk_context

Referenced by Context::__del__(), and context::~context().

◆ Z3_disable_trace()

 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.

See also
Z3_enable_trace

Referenced by z3py::disable_trace().

◆ Z3_enable_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.

See also
Z3_disable_trace

Referenced by z3py::enable_trace().

◆ Z3_eval_smtlib2_string()

 Z3_string Z3_API Z3_eval_smtlib2_string ( Z3_context , Z3_string str )

Parse and evaluate and SMT-LIB2 command sequence. The state from a previous call is saved so the next evaluation builds on top of the previous call.

Returns
output generated from processing commands.

◆ Z3_finalize_memory()

 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.

◆ Z3_fixedpoint_add_callback()

 void Z3_API Z3_fixedpoint_add_callback ( Z3_context ctx, Z3_fixedpoint f, void * state, Z3_fixedpoint_new_lemma_eh new_lemma_eh, Z3_fixedpoint_predecessor_eh predecessor_eh, Z3_fixedpoint_unfold_eh unfold_eh )

set export callback for lemmas

◆ Z3_fixedpoint_add_constraint()

 void Z3_API Z3_fixedpoint_add_constraint ( Z3_context c, Z3_fixedpoint d, Z3_ast e, unsigned lvl )

◆ Z3_fixedpoint_add_cover()

 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(), and Fixedpoint::add_cover().

◆ Z3_fixedpoint_add_fact()

 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.

Parameters
 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.

Referenced by fixedpoint::add_fact().

◆ Z3_fixedpoint_add_rule()

 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:

horn_rule ::= (forall (bound-vars) horn_rule)
| (=> atoms horn_rule)
| atom

Referenced by fixedpoint::add_rule(), and Fixedpoint::add_rule().

◆ Z3_fixedpoint_assert()

 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().

◆ Z3_fixedpoint_dec_ref()

 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__(), and fixedpoint::~fixedpoint().

◆ Z3_fixedpoint_from_file()

 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.

Parameters
 c - context. f - fixedpoint context. s - path to file containing SMT2 specification.
See also
Z3_fixedpoint_from_string
Z3_fixedpoint_to_string

Referenced by fixedpoint::from_file(), and Fixedpoint::parse_file().

◆ Z3_fixedpoint_from_string()

 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.

Parameters
 c - context. f - fixedpoint context. s - string containing SMT2 specification.
See also
Z3_fixedpoint_from_file
Z3_fixedpoint_to_string

Referenced by fixedpoint::from_string(), and Fixedpoint::parse_string().

◆ Z3_fixedpoint_get_answer()

 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(), and Fixedpoint::get_answer().

◆ Z3_fixedpoint_get_assertions()

 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::assertions(), and Fixedpoint::get_assertions().

◆ Z3_fixedpoint_get_cover_delta()

 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(), and Fixedpoint::get_cover_delta().

◆ Z3_fixedpoint_get_help()

 Z3_string Z3_API Z3_fixedpoint_get_help ( Z3_context c, Z3_fixedpoint f )

Return a string describing all fixedpoint available parameters.

See also
Z3_fixedpoint_get_param_descrs
Z3_fixedpoint_set_params

Referenced by fixedpoint::help(), and Fixedpoint::help().

◆ Z3_fixedpoint_get_num_levels()

 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(), and Fixedpoint::get_num_levels().

◆ Z3_fixedpoint_get_param_descrs()

 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.

See also
Z3_fixedpoint_get_help
Z3_fixedpoint_set_params

Referenced by fixedpoint::get_param_descrs(), and Fixedpoint::param_descrs().

◆ Z3_fixedpoint_get_reason_unknown()

 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(), and Fixedpoint::reason_unknown().

◆ Z3_fixedpoint_get_rules()

 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(), and fixedpoint::rules().

◆ Z3_fixedpoint_get_statistics()

 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(), and Fixedpoint::statistics().

◆ Z3_fixedpoint_inc_ref()

 void Z3_API Z3_fixedpoint_inc_ref ( Z3_context c, Z3_fixedpoint d )

Increment the reference counter of the given fixedpoint context.

Referenced by fixedpoint::fixedpoint().

◆ Z3_fixedpoint_init()

 void Z3_API Z3_fixedpoint_init ( Z3_context c, Z3_fixedpoint d, void * state )

Initialize the context with a user-defined state.

◆ Z3_fixedpoint_query()

 Z3_lbool Z3_API Z3_fixedpoint_query ( Z3_context c, Z3_fixedpoint d, Z3_ast query )

Pose a query against the asserted rules.

query ::= (exists (bound-vars) query)
| literals

query returns

• `Z3_L_FALSE` if the query is unsatisfiable.
• `Z3_L_TRUE` if the query is satisfiable. Obtain the answer by calling Z3_fixedpoint_get_answer.
• `Z3_L_UNDEF` if the query was interrupted, timed out or otherwise failed.

Referenced by fixedpoint::query(), and Fixedpoint::query().

◆ Z3_fixedpoint_query_relations()

 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

• `Z3_L_FALSE` if the query is unsatisfiable.
• `Z3_L_TRUE` if the query is satisfiable. Obtain the answer by calling Z3_fixedpoint_get_answer.
• `Z3_L_UNDEF` if the query was interrupted, timed out or otherwise failed.

Referenced by fixedpoint::query(), and Fixedpoint::query().

◆ Z3_fixedpoint_register_relation()

 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(), and Fixedpoint::register_relation().

◆ Z3_fixedpoint_set_params()

 void Z3_API Z3_fixedpoint_set_params ( Z3_context c, Z3_fixedpoint f, Z3_params p )

Set parameters on fixedpoint context.

See also
Z3_fixedpoint_get_help
Z3_fixedpoint_get_param_descrs

Referenced by fixedpoint::set(), and Fixedpoint::set().

◆ Z3_fixedpoint_set_predicate_representation()

 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().

◆ Z3_fixedpoint_set_reduce_app_callback()

 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 building terms based on the relational operators.

◆ Z3_fixedpoint_set_reduce_assign_callback()

 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_fixedpoint_to_string()

 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.

Parameters
 c - context. f - fixedpoint context. num_queries - number of additional queries to print. queries - additional queries.
See also
Z3_fixedpoint_from_file
Z3_fixedpoint_from_string

Referenced by z3::operator<<(), Fixedpoint::sexpr(), fixedpoint::to_string(), and Fixedpoint::to_string().

◆ Z3_fixedpoint_update_rule()

 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(), and Fixedpoint::update_rule().

◆ Z3_fpa_get_ebits()

 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.

Parameters
 c logical context s FloatingPoint sort

Referenced by sort::fpa_ebits().

◆ Z3_fpa_get_numeral_exponent_bv()

 Z3_ast Z3_API Z3_fpa_get_numeral_exponent_bv ( Z3_context c, Z3_ast t, bool biased )

Retrieves the exponent of a floating-point literal as a bit-vector expression.

Parameters
 c logical context t a floating-point numeral biased flag to indicate whether the result is in biased representation

Remarks: This function extracts the exponent in `t`, without normalization. NaN is an invalid arguments.

◆ Z3_fpa_get_numeral_exponent_int64()

 bool Z3_API Z3_fpa_get_numeral_exponent_int64 ( Z3_context c, Z3_ast t, int64_t * n, bool biased )

Return the exponent value of a floating-point numeral as a signed 64-bit integer.

Parameters
 c logical context t a floating-point numeral n exponent biased flag to indicate whether the result is in biased representation

Remarks: This function extracts the exponent in `t`, without normalization. NaN is an invalid argument.

◆ Z3_fpa_get_numeral_exponent_string()

 Z3_string Z3_API Z3_fpa_get_numeral_exponent_string ( Z3_context c, Z3_ast t, bool biased )

Return the exponent value of a floating-point numeral as a string.

Parameters
 c logical context t a floating-point numeral biased flag to indicate whether the result is in biased representation

Remarks: This function extracts the exponent in `t`, without normalization. NaN is an invalid argument.

◆ Z3_fpa_get_numeral_sign()

 bool Z3_API Z3_fpa_get_numeral_sign ( Z3_context c, Z3_ast t, int * sgn )

Retrieves the sign of a floating-point literal.

Parameters
 c logical context t a floating-point numeral sgn sign

Remarks: sets `sgn` to 0 if `t' is positive and to 1 otherwise, except for NaN, which is an invalid argument.

◆ Z3_fpa_get_numeral_sign_bv()

 Z3_ast Z3_API Z3_fpa_get_numeral_sign_bv ( Z3_context c, Z3_ast t )

Retrieves the sign of a floating-point literal as a bit-vector expression.

Parameters
 c logical context t a floating-point numeral

Remarks: NaN is an invalid argument.

◆ Z3_fpa_get_numeral_significand_bv()

 Z3_ast Z3_API Z3_fpa_get_numeral_significand_bv ( Z3_context c, Z3_ast t )

Retrieves the significand of a floating-point literal as a bit-vector expression.

Parameters
 c logical context t a floating-point numeral

Remarks: NaN is an invalid argument.

◆ Z3_fpa_get_numeral_significand_string()

 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.

Parameters
 c logical context t a floating-point numeral

Remarks: The significand `s` is always `0.0 <= s < 2.0`; the resulting string is long enough to represent the real significand precisely.

◆ Z3_fpa_get_numeral_significand_uint64()

 bool Z3_API Z3_fpa_get_numeral_significand_uint64 ( Z3_context c, Z3_ast t, uint64_t * n )

Return the significand value of a floating-point numeral as a uint64.

Parameters
 c logical context t a floating-point numeral n pointer to output uint64

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`. NaN is an invalid argument.

◆ Z3_fpa_get_sbits()

 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.

Parameters
 c logical context s FloatingPoint sort

Referenced by sort::fpa_sbits().

◆ Z3_fpa_is_numeral_inf()

 bool Z3_API Z3_fpa_is_numeral_inf ( Z3_context c, Z3_ast t )

Checks whether a given floating-point numeral is a +oo or -oo.

Parameters
 c logical context t a floating-point numeral

◆ Z3_fpa_is_numeral_nan()

 bool Z3_API Z3_fpa_is_numeral_nan ( Z3_context c, Z3_ast t )

Checks whether a given floating-point numeral is a NaN.

Parameters
 c logical context t a floating-point numeral

◆ Z3_fpa_is_numeral_negative()

 bool Z3_API Z3_fpa_is_numeral_negative ( Z3_context c, Z3_ast t )

Checks whether a given floating-point numeral is negative.

Parameters
 c logical context t a floating-point numeral

◆ Z3_fpa_is_numeral_normal()

 bool Z3_API Z3_fpa_is_numeral_normal ( Z3_context c, Z3_ast t )

Checks whether a given floating-point numeral is normal.

Parameters
 c logical context t a floating-point numeral

◆ Z3_fpa_is_numeral_positive()

 bool Z3_API Z3_fpa_is_numeral_positive ( Z3_context c, Z3_ast t )

Checks whether a given floating-point numeral is positive.

Parameters
 c logical context t a floating-point numeral

◆ Z3_fpa_is_numeral_subnormal()

 bool Z3_API Z3_fpa_is_numeral_subnormal ( Z3_context c, Z3_ast t )

Checks whether a given floating-point numeral is subnormal.

Parameters
 c logical context t a floating-point numeral

◆ Z3_fpa_is_numeral_zero()

 bool Z3_API Z3_fpa_is_numeral_zero ( Z3_context c, Z3_ast t )

Checks whether a given floating-point numeral is +zero or -zero.

Parameters
 c logical context t a floating-point numeral

◆ Z3_func_decl_to_ast()

 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_func_decl_to_string()

 Z3_string Z3_API Z3_func_decl_to_string ( Z3_context c, Z3_func_decl d )

◆ Z3_func_entry_dec_ref()

 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_func_entry_get_arg()

 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.

Precondition
i < Z3_func_entry_get_num_args(c, e)
See also
Z3_func_interp_get_entry

Referenced by func_entry::arg().

◆ Z3_func_entry_get_num_args()

 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.

See also
Z3_func_interp_get_entry

Referenced by func_entry::num_args().

◆ Z3_func_entry_get_value()

 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.

See also
Z3_func_interp_get_entry

Referenced by func_entry::value().

◆ Z3_func_entry_inc_ref()

 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=().

◆ Z3_func_interp_add_entry()

 void Z3_API Z3_func_interp_add_entry ( Z3_context c, Z3_func_interp fi, Z3_ast_vector args, Z3_ast value )

add a function entry to a function interpretation.

Parameters
 c logical context fi a function interpretation to be updated. args list of arguments. They should be constant values (such as integers) and be of the same types as the domain of the function. value value of the function when the parameters match args.

It is assumed that entries added to a function cover disjoint arguments. If an two entries are added with the same arguments, only the second insertion survives and the first inserted entry is removed.

Referenced by func_interp::add_entry().

◆ Z3_func_interp_dec_ref()

 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().

◆ Z3_func_interp_get_arity()

 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_func_interp_get_else()

 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_interp_get_entry()

 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 interpretation. It represents the value of `f` in a particular point.

Precondition
i < Z3_func_interp_get_num_entries(c, f)
See also
Z3_func_interp_get_num_entries

Referenced by func_interp::entry().

◆ Z3_func_interp_get_num_entries()

 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().

◆ Z3_func_interp_inc_ref()

 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_func_interp_set_else()

 void Z3_API Z3_func_interp_set_else ( Z3_context c, Z3_func_interp f, Z3_ast else_value )

Return the 'else' value of the given function interpretation.

A function interpretation is represented as a finite map and an 'else' value. This procedure can be used to update the 'else' value.

Referenced by func_interp::set_else().

◆ Z3_get_algebraic_number_lower()

 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.

Precondition
Z3_is_algebraic_number(c, a)

Referenced by expr::algebraic_lower().

◆ Z3_get_algebraic_number_upper()

 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.

Precondition
Z3_is_algebraic_number(c, a)

Referenced by expr::algebraic_upper().

◆ Z3_get_app_arg()

 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.

Precondition
i < Z3_get_app_num_args(c, a)

Referenced by ExprRef::arg(), and expr::arg().

◆ Z3_get_app_decl()

 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 ExprRef::decl(), and expr::decl().

◆ Z3_get_app_num_args()

 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 ExprRef::num_args(), and expr::num_args().

◆ Z3_get_arity()

 unsigned Z3_API Z3_get_arity ( Z3_context c, Z3_func_decl d )

Alias for `Z3_get_domain_size`.

See also
Z3_get_domain_size

Referenced by FuncDeclRef::arity(), and func_decl::arity().

◆ Z3_get_array_sort_domain()

 Z3_sort Z3_API Z3_get_array_sort_domain ( Z3_context c, Z3_sort t )

Return the domain of the given array sort. In the case of a multi-dimensional array, this function returns the sort of the first dimension.

Precondition
Z3_get_sort_kind(c, t) == Z3_ARRAY_SORT
See also
Z3_mk_array_sort
Z3_get_sort_kind

Referenced by sort::array_domain().

◆ Z3_get_array_sort_range()

 Z3_sort Z3_API Z3_get_array_sort_range ( Z3_context c, Z3_sort t )

Return the range of the given array sort.

Precondition
Z3_get_sort_kind(c, t) == Z3_ARRAY_SORT
See also
Z3_mk_array_sort
Z3_get_sort_kind

Referenced by sort::array_range().

◆ Z3_get_as_array_func_decl()

 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.

See also
Z3_is_as_array

◆ Z3_get_ast_hash()

 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 interchangeably with this function.

Referenced by AstRef::hash(), and ast::hash().

◆ Z3_get_ast_id()

 unsigned Z3_API Z3_get_ast_id ( Z3_context c, Z3_ast t )

Return a unique identifier for