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Fixedpoint Class Reference

Fixedpoint. More...

+ Inheritance diagram for Fixedpoint:

Public Member Functions

 __init__ (self, fixedpoint=None, ctx=None)
 
 __deepcopy__ (self, memo={})
 
 __del__ (self)
 
 set (self, *args, **keys)
 
 help (self)
 
 param_descrs (self)
 
 assert_exprs (self, *args)
 
 add (self, *args)
 
 __iadd__ (self, fml)
 
 append (self, *args)
 
 insert (self, *args)
 
 add_rule (self, head, body=None, name=None)
 
 rule (self, head, body=None, name=None)
 
 fact (self, head, name=None)
 
 query (self, *query)
 
 query_from_lvl (self, lvl, *query)
 
 update_rule (self, head, body, name)
 
 get_answer (self)
 
 get_ground_sat_answer (self)
 
 get_rules_along_trace (self)
 
 get_rule_names_along_trace (self)
 
 get_num_levels (self, predicate)
 
 get_cover_delta (self, level, predicate)
 
 add_cover (self, level, predicate, property)
 
 register_relation (self, *relations)
 
 set_predicate_representation (self, f, *representations)
 
 parse_string (self, s)
 
 parse_file (self, f)
 
 get_rules (self)
 
 get_assertions (self)
 
 __repr__ (self)
 
 sexpr (self)
 
 to_string (self, queries)
 
 statistics (self)
 
 reason_unknown (self)
 
 declare_var (self, *vars)
 
 abstract (self, fml, is_forall=True)
 
- Public Member Functions inherited from Z3PPObject
 use_pp (self)
 

Data Fields

 ctx = _get_ctx(ctx)
 
 fixedpoint = None
 
list vars = []
 

Additional Inherited Members

- Protected Member Functions inherited from Z3PPObject
 _repr_html_ (self)
 

Detailed Description

Fixedpoint.

Fixedpoint API provides methods for solving with recursive predicates

Definition at line 7505 of file z3py.py.

Constructor & Destructor Documentation

◆ __init__()

__init__ ( self,
fixedpoint = None,
ctx = None )

Definition at line 7508 of file z3py.py.

7508 def __init__(self, fixedpoint=None, ctx=None):
7509 assert fixedpoint is None or ctx is not None
7510 self.ctx = _get_ctx(ctx)
7511 self.fixedpoint = None
7512 if fixedpoint is None:
7513 self.fixedpoint = Z3_mk_fixedpoint(self.ctx.ref())
7514 else:
7515 self.fixedpoint = fixedpoint
7516 Z3_fixedpoint_inc_ref(self.ctx.ref(), self.fixedpoint)
7517 self.vars = []
7518
void Z3_API Z3_fixedpoint_inc_ref(Z3_context c, Z3_fixedpoint d)
Increment the reference counter of the given fixedpoint context.
Z3_fixedpoint Z3_API Z3_mk_fixedpoint(Z3_context c)
Create a new fixedpoint context.

◆ __del__()

__del__ ( self)

Definition at line 7522 of file z3py.py.

7522 def __del__(self):
7523 if self.fixedpoint is not None and self.ctx.ref() is not None and Z3_fixedpoint_dec_ref is not None:
7524 Z3_fixedpoint_dec_ref(self.ctx.ref(), self.fixedpoint)
7525
void Z3_API Z3_fixedpoint_dec_ref(Z3_context c, Z3_fixedpoint d)
Decrement the reference counter of the given fixedpoint context.

Member Function Documentation

◆ __deepcopy__()

__deepcopy__ ( self,
memo = {} )

Definition at line 7519 of file z3py.py.

7519 def __deepcopy__(self, memo={}):
7520 return FixedPoint(self.fixedpoint, self.ctx)
7521

◆ __iadd__()

__iadd__ ( self,
fml )

Definition at line 7558 of file z3py.py.

7558 def __iadd__(self, fml):
7559 self.add(fml)
7560 return self
7561

◆ __repr__()

__repr__ ( self)
Return a formatted string with all added rules and constraints.

Definition at line 7719 of file z3py.py.

7719 def __repr__(self):
7720 """Return a formatted string with all added rules and constraints."""
7721 return self.sexpr()
7722

◆ abstract()

abstract ( self,
fml,
is_forall = True )

Definition at line 7756 of file z3py.py.

7756 def abstract(self, fml, is_forall=True):
7757 if self.vars == []:
7758 return fml
7759 if is_forall:
7760 return ForAll(self.vars, fml)
7761 else:
7762 return Exists(self.vars, fml)
7763
7764

◆ add()

add ( self,
* args )
Assert constraints as background axioms for the fixedpoint solver. Alias for assert_expr.

Definition at line 7554 of file z3py.py.

7554 def add(self, *args):
7555 """Assert constraints as background axioms for the fixedpoint solver. Alias for assert_expr."""
7556 self.assert_exprs(*args)
7557

Referenced by Solver.__iadd__().

◆ add_cover()

add_cover ( self,
level,
predicate,
property )
Add property to predicate for the level'th unfolding.
-1 is treated as infinity (infinity)

Definition at line 7681 of file z3py.py.

7681 def add_cover(self, level, predicate, property):
7682 """Add property to predicate for the level'th unfolding.
7683 -1 is treated as infinity (infinity)
7684 """
7685 Z3_fixedpoint_add_cover(self.ctx.ref(), self.fixedpoint, level, predicate.ast, property.ast)
7686
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 forw...

◆ add_rule()

add_rule ( self,
head,
body = None,
name = None )
Assert rules defining recursive predicates to the fixedpoint solver.
>>> a = Bool('a')
>>> b = Bool('b')
>>> s = Fixedpoint()
>>> s.register_relation(a.decl())
>>> s.register_relation(b.decl())
>>> s.fact(a)
>>> s.rule(b, a)
>>> s.query(b)
sat

Definition at line 7570 of file z3py.py.

7570 def add_rule(self, head, body=None, name=None):
7571 """Assert rules defining recursive predicates to the fixedpoint solver.
7572 >>> a = Bool('a')
7573 >>> b = Bool('b')
7574 >>> s = Fixedpoint()
7575 >>> s.register_relation(a.decl())
7576 >>> s.register_relation(b.decl())
7577 >>> s.fact(a)
7578 >>> s.rule(b, a)
7579 >>> s.query(b)
7580 sat
7581 """
7582 if name is None:
7583 name = ""
7584 name = to_symbol(name, self.ctx)
7585 if body is None:
7586 head = self.abstract(head)
7587 Z3_fixedpoint_add_rule(self.ctx.ref(), self.fixedpoint, head.as_ast(), name)
7588 else:
7589 body = _get_args(body)
7590 f = self.abstract(Implies(And(body, self.ctx), head))
7591 Z3_fixedpoint_add_rule(self.ctx.ref(), self.fixedpoint, f.as_ast(), name)
7592
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:

◆ append()

append ( self,
* args )
Assert constraints as background axioms for the fixedpoint solver. Alias for assert_expr.

Definition at line 7562 of file z3py.py.

7562 def append(self, *args):
7563 """Assert constraints as background axioms for the fixedpoint solver. Alias for assert_expr."""
7564 self.assert_exprs(*args)
7565

◆ assert_exprs()

assert_exprs ( self,
* args )
Assert constraints as background axioms for the fixedpoint solver.

Definition at line 7540 of file z3py.py.

7540 def assert_exprs(self, *args):
7541 """Assert constraints as background axioms for the fixedpoint solver."""
7542 args = _get_args(args)
7543 s = BoolSort(self.ctx)
7544 for arg in args:
7545 if isinstance(arg, Goal) or isinstance(arg, AstVector):
7546 for f in arg:
7547 f = self.abstract(f)
7548 Z3_fixedpoint_assert(self.ctx.ref(), self.fixedpoint, f.as_ast())
7549 else:
7550 arg = s.cast(arg)
7551 arg = self.abstract(arg)
7552 Z3_fixedpoint_assert(self.ctx.ref(), self.fixedpoint, arg.as_ast())
7553
void Z3_API Z3_fixedpoint_assert(Z3_context c, Z3_fixedpoint d, Z3_ast axiom)
Assert a constraint to the fixedpoint context.

Referenced by Goal.add(), Solver.add(), Goal.append(), Solver.append(), Goal.insert(), and Solver.insert().

◆ declare_var()

declare_var ( self,
* vars )
Add variable or several variables.
The added variable or variables will be bound in the rules
and queries

Definition at line 7747 of file z3py.py.

7747 def declare_var(self, *vars):
7748 """Add variable or several variables.
7749 The added variable or variables will be bound in the rules
7750 and queries
7751 """
7752 vars = _get_args(vars)
7753 for v in vars:
7754 self.vars += [v]
7755

◆ fact()

fact ( self,
head,
name = None )
Assert facts defining recursive predicates to the fixedpoint solver. Alias for add_rule.

Definition at line 7597 of file z3py.py.

7597 def fact(self, head, name=None):
7598 """Assert facts defining recursive predicates to the fixedpoint solver. Alias for add_rule."""
7599 self.add_rule(head, None, name)
7600

◆ get_answer()

get_answer ( self)
Retrieve answer from last query call.

Definition at line 7648 of file z3py.py.

7648 def get_answer(self):
7649 """Retrieve answer from last query call."""
7650 r = Z3_fixedpoint_get_answer(self.ctx.ref(), self.fixedpoint)
7651 return _to_expr_ref(r, self.ctx)
7652
Z3_ast Z3_API Z3_fixedpoint_get_answer(Z3_context c, Z3_fixedpoint d)
Retrieve a formula that encodes satisfying answers to the query.

◆ get_assertions()

get_assertions ( self)
retrieve assertions that have been added to fixedpoint context

Definition at line 7715 of file z3py.py.

7715 def get_assertions(self):
7716 """retrieve assertions that have been added to fixedpoint context"""
7717 return AstVector(Z3_fixedpoint_get_assertions(self.ctx.ref(), self.fixedpoint), self.ctx)
7718
Z3_ast_vector Z3_API Z3_fixedpoint_get_assertions(Z3_context c, Z3_fixedpoint f)
Retrieve set of background assertions from fixedpoint context.

◆ get_cover_delta()

get_cover_delta ( self,
level,
predicate )
Retrieve properties known about predicate for the level'th unfolding.
-1 is treated as the limit (infinity)

Definition at line 7674 of file z3py.py.

7674 def get_cover_delta(self, level, predicate):
7675 """Retrieve properties known about predicate for the level'th unfolding.
7676 -1 is treated as the limit (infinity)
7677 """
7678 r = Z3_fixedpoint_get_cover_delta(self.ctx.ref(), self.fixedpoint, level, predicate.ast)
7679 return _to_expr_ref(r, self.ctx)
7680
Z3_ast Z3_API Z3_fixedpoint_get_cover_delta(Z3_context c, Z3_fixedpoint d, int level, Z3_func_decl pred)

◆ get_ground_sat_answer()

get_ground_sat_answer ( self)
Retrieve a ground cex from last query call.

Definition at line 7653 of file z3py.py.

7653 def get_ground_sat_answer(self):
7654 """Retrieve a ground cex from last query call."""
7655 r = Z3_fixedpoint_get_ground_sat_answer(self.ctx.ref(), self.fixedpoint)
7656 return _to_expr_ref(r, self.ctx)
7657

◆ get_num_levels()

get_num_levels ( self,
predicate )
Retrieve number of levels used for predicate in PDR engine

Definition at line 7670 of file z3py.py.

7670 def get_num_levels(self, predicate):
7671 """Retrieve number of levels used for predicate in PDR engine"""
7672 return Z3_fixedpoint_get_num_levels(self.ctx.ref(), self.fixedpoint, predicate.ast)
7673
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.

◆ get_rule_names_along_trace()

get_rule_names_along_trace ( self)
retrieve rule names along the counterexample trace

Definition at line 7662 of file z3py.py.

7662 def get_rule_names_along_trace(self):
7663 """retrieve rule names along the counterexample trace"""
7664 # this is a hack as I don't know how to return a list of symbols from C++;
7665 # obtain names as a single string separated by semicolons
7666 names = _symbol2py(self.ctx, Z3_fixedpoint_get_rule_names_along_trace(self.ctx.ref(), self.fixedpoint))
7667 # split into individual names
7668 return names.split(";")
7669

◆ get_rules()

get_rules ( self)
retrieve rules that have been added to fixedpoint context

Definition at line 7711 of file z3py.py.

7711 def get_rules(self):
7712 """retrieve rules that have been added to fixedpoint context"""
7713 return AstVector(Z3_fixedpoint_get_rules(self.ctx.ref(), self.fixedpoint), self.ctx)
7714
Z3_ast_vector Z3_API Z3_fixedpoint_get_rules(Z3_context c, Z3_fixedpoint f)
Retrieve set of rules from fixedpoint context.

◆ get_rules_along_trace()

get_rules_along_trace ( self)
retrieve rules along the counterexample trace

Definition at line 7658 of file z3py.py.

7658 def get_rules_along_trace(self):
7659 """retrieve rules along the counterexample trace"""
7660 return AstVector(Z3_fixedpoint_get_rules_along_trace(self.ctx.ref(), self.fixedpoint), self.ctx)
7661

◆ help()

help ( self)
Display a string describing all available options.

Definition at line 7532 of file z3py.py.

7532 def help(self):
7533 """Display a string describing all available options."""
7534 print(Z3_fixedpoint_get_help(self.ctx.ref(), self.fixedpoint))
7535
Z3_string Z3_API Z3_fixedpoint_get_help(Z3_context c, Z3_fixedpoint f)
Return a string describing all fixedpoint available parameters.

◆ insert()

insert ( self,
* args )
Assert constraints as background axioms for the fixedpoint solver. Alias for assert_expr.

Definition at line 7566 of file z3py.py.

7566 def insert(self, *args):
7567 """Assert constraints as background axioms for the fixedpoint solver. Alias for assert_expr."""
7568 self.assert_exprs(*args)
7569

◆ param_descrs()

param_descrs ( self)
Return the parameter description set.

Definition at line 7536 of file z3py.py.

7536 def param_descrs(self):
7537 """Return the parameter description set."""
7538 return ParamDescrsRef(Z3_fixedpoint_get_param_descrs(self.ctx.ref(), self.fixedpoint), self.ctx)
7539
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.

◆ parse_file()

parse_file ( self,
f )
Parse rules and queries from a file

Definition at line 7707 of file z3py.py.

7707 def parse_file(self, f):
7708 """Parse rules and queries from a file"""
7709 return AstVector(Z3_fixedpoint_from_file(self.ctx.ref(), self.fixedpoint, f), self.ctx)
7710
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....

◆ parse_string()

parse_string ( self,
s )
Parse rules and queries from a string

Definition at line 7703 of file z3py.py.

7703 def parse_string(self, s):
7704 """Parse rules and queries from a string"""
7705 return AstVector(Z3_fixedpoint_from_string(self.ctx.ref(), self.fixedpoint, s), self.ctx)
7706
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....

◆ query()

query ( self,
* query )
Query the fixedpoint engine whether formula is derivable.
   You can also pass an tuple or list of recursive predicates.

Definition at line 7601 of file z3py.py.

7601 def query(self, *query):
7602 """Query the fixedpoint engine whether formula is derivable.
7603 You can also pass an tuple or list of recursive predicates.
7604 """
7605 query = _get_args(query)
7606 sz = len(query)
7607 if sz >= 1 and isinstance(query[0], FuncDeclRef):
7608 _decls = (FuncDecl * sz)()
7609 i = 0
7610 for q in query:
7611 _decls[i] = q.ast
7612 i = i + 1
7613 r = Z3_fixedpoint_query_relations(self.ctx.ref(), self.fixedpoint, sz, _decls)
7614 else:
7615 if sz == 1:
7616 query = query[0]
7617 else:
7618 query = And(query, self.ctx)
7619 query = self.abstract(query, False)
7620 r = Z3_fixedpoint_query(self.ctx.ref(), self.fixedpoint, query.as_ast())
7621 return CheckSatResult(r)
7622
Z3_lbool Z3_API Z3_fixedpoint_query(Z3_context c, Z3_fixedpoint d, Z3_ast query)
Pose a query against the asserted rules.
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.

◆ query_from_lvl()

query_from_lvl ( self,
lvl,
* query )
Query the fixedpoint engine whether formula is derivable starting at the given query level.

Definition at line 7623 of file z3py.py.

7623 def query_from_lvl(self, lvl, *query):
7624 """Query the fixedpoint engine whether formula is derivable starting at the given query level.
7625 """
7626 query = _get_args(query)
7627 sz = len(query)
7628 if sz >= 1 and isinstance(query[0], FuncDecl):
7629 _z3_assert(False, "unsupported")
7630 else:
7631 if sz == 1:
7632 query = query[0]
7633 else:
7634 query = And(query)
7635 query = self.abstract(query, False)
7636 r = Z3_fixedpoint_query_from_lvl(self.ctx.ref(), self.fixedpoint, query.as_ast(), lvl)
7637 return CheckSatResult(r)
7638

◆ reason_unknown()

reason_unknown ( self)
Return a string describing why the last `query()` returned `unknown`.

Definition at line 7742 of file z3py.py.

7742 def reason_unknown(self):
7743 """Return a string describing why the last `query()` returned `unknown`.
7744 """
7745 return Z3_fixedpoint_get_reason_unknown(self.ctx.ref(), self.fixedpoint)
7746
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.

◆ register_relation()

register_relation ( self,
* relations )
Register relation as recursive

Definition at line 7687 of file z3py.py.

7687 def register_relation(self, *relations):
7688 """Register relation as recursive"""
7689 relations = _get_args(relations)
7690 for f in relations:
7691 Z3_fixedpoint_register_relation(self.ctx.ref(), self.fixedpoint, f.ast)
7692
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...

◆ rule()

rule ( self,
head,
body = None,
name = None )
Assert rules defining recursive predicates to the fixedpoint solver. Alias for add_rule.

Definition at line 7593 of file z3py.py.

7593 def rule(self, head, body=None, name=None):
7594 """Assert rules defining recursive predicates to the fixedpoint solver. Alias for add_rule."""
7595 self.add_rule(head, body, name)
7596

◆ set()

set ( self,
* args,
** keys )
Set a configuration option. The method `help()` return a string containing all available options.

Definition at line 7526 of file z3py.py.

7526 def set(self, *args, **keys):
7527 """Set a configuration option. The method `help()` return a string containing all available options.
7528 """
7529 p = args2params(args, keys, self.ctx)
7530 Z3_fixedpoint_set_params(self.ctx.ref(), self.fixedpoint, p.params)
7531
void Z3_API Z3_fixedpoint_set_params(Z3_context c, Z3_fixedpoint f, Z3_params p)
Set parameters on fixedpoint context.

◆ set_predicate_representation()

set_predicate_representation ( self,
f,
* representations )
Control how relation is represented

Definition at line 7693 of file z3py.py.

7693 def set_predicate_representation(self, f, *representations):
7694 """Control how relation is represented"""
7695 representations = _get_args(representations)
7696 representations = [to_symbol(s) for s in representations]
7697 sz = len(representations)
7698 args = (Symbol * sz)()
7699 for i in range(sz):
7700 args[i] = representations[i]
7701 Z3_fixedpoint_set_predicate_representation(self.ctx.ref(), self.fixedpoint, f.ast, sz, args)
7702
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.

◆ sexpr()

sexpr ( self)
Return a formatted string (in Lisp-like format) with all added constraints.
We say the string is in s-expression format.

Definition at line 7723 of file z3py.py.

7723 def sexpr(self):
7724 """Return a formatted string (in Lisp-like format) with all added constraints.
7725 We say the string is in s-expression format.
7726 """
7727 return Z3_fixedpoint_to_string(self.ctx.ref(), self.fixedpoint, 0, (Ast * 0)())
7728
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.

◆ statistics()

statistics ( self)
Return statistics for the last `query()`.

Definition at line 7737 of file z3py.py.

7737 def statistics(self):
7738 """Return statistics for the last `query()`.
7739 """
7740 return Statistics(Z3_fixedpoint_get_statistics(self.ctx.ref(), self.fixedpoint), self.ctx)
7741
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.

◆ to_string()

to_string ( self,
queries )
Return a formatted string (in Lisp-like format) with all added constraints.
   We say the string is in s-expression format.
   Include also queries.

Definition at line 7729 of file z3py.py.

7729 def to_string(self, queries):
7730 """Return a formatted string (in Lisp-like format) with all added constraints.
7731 We say the string is in s-expression format.
7732 Include also queries.
7733 """
7734 args, len = _to_ast_array(queries)
7735 return Z3_fixedpoint_to_string(self.ctx.ref(), self.fixedpoint, len, args)
7736

◆ update_rule()

update_rule ( self,
head,
body,
name )
update rule

Definition at line 7639 of file z3py.py.

7639 def update_rule(self, head, body, name):
7640 """update rule"""
7641 if name is None:
7642 name = ""
7643 name = to_symbol(name, self.ctx)
7644 body = _get_args(body)
7645 f = self.abstract(Implies(And(body, self.ctx), head))
7646 Z3_fixedpoint_update_rule(self.ctx.ref(), self.fixedpoint, f.as_ast(), name)
7647
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.

Field Documentation

◆ ctx

ctx = _get_ctx(ctx)

Definition at line 7510 of file z3py.py.

Referenced by ArithRef.__add__(), BitVecRef.__add__(), BitVecRef.__and__(), FuncDeclRef.__call__(), AstMap.__contains__(), AstRef.__copy__(), AstVector.__copy__(), FuncInterp.__copy__(), Goal.__copy__(), ModelRef.__copy__(), AstMap.__deepcopy__(), AstRef.__deepcopy__(), AstVector.__deepcopy__(), Datatype.__deepcopy__(), FuncEntry.__deepcopy__(), FuncInterp.__deepcopy__(), Goal.__deepcopy__(), ModelRef.__deepcopy__(), ParamDescrsRef.__deepcopy__(), ParamsRef.__deepcopy__(), Statistics.__deepcopy__(), AstMap.__del__(), AstRef.__del__(), AstVector.__del__(), Context.__del__(), FuncEntry.__del__(), FuncInterp.__del__(), Goal.__del__(), ModelRef.__del__(), ParamDescrsRef.__del__(), ParamsRef.__del__(), ScopedConstructor.__del__(), ScopedConstructorList.__del__(), Solver.__del__(), Statistics.__del__(), ArithRef.__div__(), BitVecRef.__div__(), ExprRef.__eq__(), ArithRef.__ge__(), BitVecRef.__ge__(), AstMap.__getitem__(), AstVector.__getitem__(), ModelRef.__getitem__(), Statistics.__getitem__(), ArithRef.__gt__(), BitVecRef.__gt__(), BitVecRef.__invert__(), ArithRef.__le__(), BitVecRef.__le__(), AstMap.__len__(), AstVector.__len__(), ModelRef.__len__(), Statistics.__len__(), BitVecRef.__lshift__(), ArithRef.__lt__(), BitVecRef.__lt__(), ArithRef.__mod__(), BitVecRef.__mod__(), ArithRef.__mul__(), BitVecRef.__mul__(), BoolRef.__mul__(), ExprRef.__ne__(), ArithRef.__neg__(), BitVecRef.__neg__(), BitVecRef.__or__(), ArithRef.__pow__(), ArithRef.__radd__(), BitVecRef.__radd__(), BitVecRef.__rand__(), ArithRef.__rdiv__(), BitVecRef.__rdiv__(), AstMap.__repr__(), ParamDescrsRef.__repr__(), ParamsRef.__repr__(), Statistics.__repr__(), BitVecRef.__rlshift__(), ArithRef.__rmod__(), BitVecRef.__rmod__(), ArithRef.__rmul__(), BitVecRef.__rmul__(), BitVecRef.__ror__(), ArithRef.__rpow__(), BitVecRef.__rrshift__(), BitVecRef.__rshift__(), ArithRef.__rsub__(), BitVecRef.__rsub__(), BitVecRef.__rxor__(), AstMap.__setitem__(), AstVector.__setitem__(), ArithRef.__sub__(), BitVecRef.__sub__(), BitVecRef.__xor__(), DatatypeSortRef.accessor(), ExprRef.arg(), FuncEntry.arg_value(), FuncInterp.arity(), Goal.as_expr(), Solver.assert_and_track(), Goal.assert_exprs(), Solver.assert_exprs(), QuantifierRef.body(), Solver.check(), Goal.convert_model(), AstRef.ctx_ref(), ExprRef.decl(), ModelRef.decls(), ArrayRef.default(), RatNumRef.denominator(), Goal.depth(), Goal.dimacs(), FuncDeclRef.domain(), ArraySortRef.domain_n(), FuncInterp.else_value(), FuncInterp.entry(), AstMap.erase(), ModelRef.eval(), Goal.get(), ParamDescrsRef.get_documentation(), ModelRef.get_interp(), Statistics.get_key_value(), ParamDescrsRef.get_kind(), ParamDescrsRef.get_name(), ModelRef.get_sort(), ModelRef.get_universe(), Goal.inconsistent(), AstMap.keys(), Statistics.keys(), Solver.model(), SortRef.name(), QuantifierRef.no_pattern(), FuncEntry.num_args(), FuncInterp.num_entries(), Solver.num_scopes(), ModelRef.num_sorts(), FuncDeclRef.params(), QuantifierRef.pattern(), AlgebraicNumRef.poly(), Solver.pop(), Goal.prec(), AstVector.push(), Solver.push(), QuantifierRef.qid(), ArraySortRef.range(), FuncDeclRef.range(), DatatypeSortRef.recognizer(), Context.ref(), AstMap.reset(), Solver.reset(), AstVector.resize(), ParamsRef.set(), Solver.set(), AstVector.sexpr(), Goal.sexpr(), ModelRef.sexpr(), Goal.size(), ParamDescrsRef.size(), QuantifierRef.skolem_id(), AstRef.translate(), AstVector.translate(), Goal.translate(), ModelRef.translate(), ParamsRef.validate(), FuncEntry.value(), QuantifierRef.var_name(), and QuantifierRef.var_sort().

◆ fixedpoint

fixedpoint = None

Definition at line 7511 of file z3py.py.

◆ vars

vars = []

Definition at line 7517 of file z3py.py.