Z3
Public Member Functions | Data Fields
Fixedpoint Class Reference

Fixedpoint. More...

+ Inheritance diagram for Fixedpoint:

Public Member Functions

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

Data Fields

 ctx
 
 fixedpoint
 
 vars
 

Detailed Description

Fixedpoint.

Fixedpoint API provides methods for solving with recursive predicates

Definition at line 6949 of file z3py.py.

Constructor & Destructor Documentation

◆ __init__()

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

Definition at line 6952 of file z3py.py.

6952 def __init__(self, fixedpoint=None, ctx=None):
6953 assert fixedpoint is None or ctx is not None
6954 self.ctx = _get_ctx(ctx)
6955 self.fixedpoint = None
6956 if fixedpoint is None:
6957 self.fixedpoint = Z3_mk_fixedpoint(self.ctx.ref())
6958 else:
6959 self.fixedpoint = fixedpoint
6960 Z3_fixedpoint_inc_ref(self.ctx.ref(), self.fixedpoint)
6961 self.vars = []
6962
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__()

def __del__ (   self)

Definition at line 6966 of file z3py.py.

6966 def __del__(self):
6967 if self.fixedpoint is not None and self.ctx.ref() is not None:
6968 Z3_fixedpoint_dec_ref(self.ctx.ref(), self.fixedpoint)
6969
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__()

def __deepcopy__ (   self,
  memo = {} 
)

Definition at line 6963 of file z3py.py.

6963 def __deepcopy__(self, memo={}):
6964 return FixedPoint(self.fixedpoint, self.ctx)
6965

◆ __iadd__()

def __iadd__ (   self,
  fml 
)

Definition at line 7002 of file z3py.py.

7002 def __iadd__(self, fml):
7003 self.add(fml)
7004 return self
7005

◆ __repr__()

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

Definition at line 7159 of file z3py.py.

7159 def __repr__(self):
7160 """Return a formatted string with all added rules and constraints."""
7161 return self.sexpr()
7162

◆ abstract()

def abstract (   self,
  fml,
  is_forall = True 
)

Definition at line 7195 of file z3py.py.

7195 def abstract(self, fml, is_forall=True):
7196 if self.vars == []:
7197 return fml
7198 if is_forall:
7199 return ForAll(self.vars, fml)
7200 else:
7201 return Exists(self.vars, fml)
7202
7203
def ForAll(vs, body, weight=1, qid="", skid="", patterns=[], no_patterns=[])
Definition: z3py.py:2044
def Exists(vs, body, weight=1, qid="", skid="", patterns=[], no_patterns=[])
Definition: z3py.py:2061

Referenced by Fixedpoint.add_rule(), Fixedpoint.assert_exprs(), Fixedpoint.query(), Fixedpoint.query_from_lvl(), and Fixedpoint.update_rule().

◆ add()

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

Definition at line 6998 of file z3py.py.

6998 def add(self, *args):
6999 """Assert constraints as background axioms for the fixedpoint solver. Alias for assert_expr."""
7000 self.assert_exprs(*args)
7001

Referenced by Solver.__iadd__(), Fixedpoint.__iadd__(), and Optimize.__iadd__().

◆ add_cover()

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

Definition at line 7123 of file z3py.py.

7123 def add_cover(self, level, predicate, property):
7124 """Add property to predicate for the level'th unfolding. -1 is treated as infinity (infinity)"""
7125 Z3_fixedpoint_add_cover(self.ctx.ref(), self.fixedpoint, level, predicate.ast, property.ast)
7126
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()

def 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 7014 of file z3py.py.

7014 def add_rule(self, head, body = None, name = None):
7015 """Assert rules defining recursive predicates to the fixedpoint solver.
7016 >>> a = Bool('a')
7017 >>> b = Bool('b')
7018 >>> s = Fixedpoint()
7019 >>> s.register_relation(a.decl())
7020 >>> s.register_relation(b.decl())
7021 >>> s.fact(a)
7022 >>> s.rule(b, a)
7023 >>> s.query(b)
7024 sat
7025 """
7026 if name is None:
7027 name = ""
7028 name = to_symbol(name, self.ctx)
7029 if body is None:
7030 head = self.abstract(head)
7031 Z3_fixedpoint_add_rule(self.ctx.ref(), self.fixedpoint, head.as_ast(), name)
7032 else:
7033 body = _get_args(body)
7034 f = self.abstract(Implies(And(body, self.ctx),head))
7035 Z3_fixedpoint_add_rule(self.ctx.ref(), self.fixedpoint, f.as_ast(), name)
7036
def Implies(a, b, ctx=None)
Definition: z3py.py:1621
def Bool(name, ctx=None)
Definition: z3py.py:1568
def to_symbol(s, ctx=None)
Definition: z3py.py:109
def And(*args)
Definition: z3py.py:1680
void Z3_API Z3_fixedpoint_add_rule(Z3_context c, Z3_fixedpoint d, Z3_ast rule, Z3_symbol name)
Add a universal Horn clause as a named rule. The horn_rule should be of the form:

Referenced by Fixedpoint.fact(), and Fixedpoint.rule().

◆ append()

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

Definition at line 7006 of file z3py.py.

7006 def append(self, *args):
7007 """Assert constraints as background axioms for the fixedpoint solver. Alias for assert_expr."""
7008 self.assert_exprs(*args)
7009

◆ assert_exprs()

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

Definition at line 6984 of file z3py.py.

6984 def assert_exprs(self, *args):
6985 """Assert constraints as background axioms for the fixedpoint solver."""
6986 args = _get_args(args)
6987 s = BoolSort(self.ctx)
6988 for arg in args:
6989 if isinstance(arg, Goal) or isinstance(arg, AstVector):
6990 for f in arg:
6991 f = self.abstract(f)
6992 Z3_fixedpoint_assert(self.ctx.ref(), self.fixedpoint, f.as_ast())
6993 else:
6994 arg = s.cast(arg)
6995 arg = self.abstract(arg)
6996 Z3_fixedpoint_assert(self.ctx.ref(), self.fixedpoint, arg.as_ast())
6997
def BoolSort(ctx=None)
Definition: z3py.py:1533
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(), Fixedpoint.add(), Optimize.add(), Goal.append(), Solver.append(), Fixedpoint.append(), Goal.insert(), Solver.insert(), and Fixedpoint.insert().

◆ declare_var()

def 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 7186 of file z3py.py.

7186 def declare_var(self, *vars):
7187 """Add variable or several variables.
7188 The added variable or variables will be bound in the rules
7189 and queries
7190 """
7191 vars = _get_args(vars)
7192 for v in vars:
7193 self.vars += [v]
7194

◆ fact()

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

Definition at line 7041 of file z3py.py.

7041 def fact(self, head, name = None):
7042 """Assert facts defining recursive predicates to the fixedpoint solver. Alias for add_rule."""
7043 self.add_rule(head, None, name)
7044

◆ get_answer()

def get_answer (   self)
Retrieve answer from last query call.

Definition at line 7092 of file z3py.py.

7092 def get_answer(self):
7093 """Retrieve answer from last query call."""
7094 r = Z3_fixedpoint_get_answer(self.ctx.ref(), self.fixedpoint)
7095 return _to_expr_ref(r, self.ctx)
7096
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()

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

Definition at line 7155 of file z3py.py.

7155 def get_assertions(self):
7156 """retrieve assertions that have been added to fixedpoint context"""
7157 return AstVector(Z3_fixedpoint_get_assertions(self.ctx.ref(), self.fixedpoint), self.ctx)
7158
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()

def 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 7118 of file z3py.py.

7118 def get_cover_delta(self, level, predicate):
7119 """Retrieve properties known about predicate for the level'th unfolding. -1 is treated as the limit (infinity)"""
7120 r = Z3_fixedpoint_get_cover_delta(self.ctx.ref(), self.fixedpoint, level, predicate.ast)
7121 return _to_expr_ref(r, self.ctx)
7122
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()

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

Definition at line 7097 of file z3py.py.

7097 def get_ground_sat_answer(self):
7098 """Retrieve a ground cex from last query call."""
7099 r = Z3_fixedpoint_get_ground_sat_answer(self.ctx.ref(), self.fixedpoint)
7100 return _to_expr_ref(r, self.ctx)
7101

◆ get_num_levels()

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

Definition at line 7114 of file z3py.py.

7114 def get_num_levels(self, predicate):
7115 """Retrieve number of levels used for predicate in PDR engine"""
7116 return Z3_fixedpoint_get_num_levels(self.ctx.ref(), self.fixedpoint, predicate.ast)
7117
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()

def get_rule_names_along_trace (   self)
retrieve rule names along the counterexample trace

Definition at line 7106 of file z3py.py.

7106 def get_rule_names_along_trace(self):
7107 """retrieve rule names along the counterexample trace"""
7108 # this is a hack as I don't know how to return a list of symbols from C++;
7109 # obtain names as a single string separated by semicolons
7110 names = _symbol2py (self.ctx, Z3_fixedpoint_get_rule_names_along_trace(self.ctx.ref(), self.fixedpoint))
7111 # split into individual names
7112 return names.split (';')
7113

◆ get_rules()

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

Definition at line 7151 of file z3py.py.

7151 def get_rules(self):
7152 """retrieve rules that have been added to fixedpoint context"""
7153 return AstVector(Z3_fixedpoint_get_rules(self.ctx.ref(), self.fixedpoint), self.ctx)
7154
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()

def get_rules_along_trace (   self)
retrieve rules along the counterexample trace

Definition at line 7102 of file z3py.py.

7102 def get_rules_along_trace(self):
7103 """retrieve rules along the counterexample trace"""
7104 return AstVector(Z3_fixedpoint_get_rules_along_trace(self.ctx.ref(), self.fixedpoint), self.ctx)
7105

◆ help()

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

Definition at line 6976 of file z3py.py.

6976 def help(self):
6977 """Display a string describing all available options."""
6978 print(Z3_fixedpoint_get_help(self.ctx.ref(), self.fixedpoint))
6979
Z3_string Z3_API Z3_fixedpoint_get_help(Z3_context c, Z3_fixedpoint f)
Return a string describing all fixedpoint available parameters.

◆ insert()

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

Definition at line 7010 of file z3py.py.

7010 def insert(self, *args):
7011 """Assert constraints as background axioms for the fixedpoint solver. Alias for assert_expr."""
7012 self.assert_exprs(*args)
7013

◆ param_descrs()

def param_descrs (   self)
Return the parameter description set.

Definition at line 6980 of file z3py.py.

6980 def param_descrs(self):
6981 """Return the parameter description set."""
6982 return ParamDescrsRef(Z3_fixedpoint_get_param_descrs(self.ctx.ref(), self.fixedpoint), self.ctx)
6983
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()

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

Definition at line 7147 of file z3py.py.

7147 def parse_file(self, f):
7148 """Parse rules and queries from a file"""
7149 return AstVector(Z3_fixedpoint_from_file(self.ctx.ref(), self.fixedpoint, f), self.ctx)
7150
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()

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

Definition at line 7143 of file z3py.py.

7143 def parse_string(self, s):
7144 """Parse rules and queries from a string"""
7145 return AstVector(Z3_fixedpoint_from_string(self.ctx.ref(), self.fixedpoint, s), self.ctx)
7146
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()

def 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 7045 of file z3py.py.

7045 def query(self, *query):
7046 """Query the fixedpoint engine whether formula is derivable.
7047 You can also pass an tuple or list of recursive predicates.
7048 """
7049 query = _get_args(query)
7050 sz = len(query)
7051 if sz >= 1 and isinstance(query[0], FuncDeclRef):
7052 _decls = (FuncDecl * sz)()
7053 i = 0
7054 for q in query:
7055 _decls[i] = q.ast
7056 i = i + 1
7057 r = Z3_fixedpoint_query_relations(self.ctx.ref(), self.fixedpoint, sz, _decls)
7058 else:
7059 if sz == 1:
7060 query = query[0]
7061 else:
7062 query = And(query, self.ctx)
7063 query = self.abstract(query, False)
7064 r = Z3_fixedpoint_query(self.ctx.ref(), self.fixedpoint, query.as_ast())
7065 return CheckSatResult(r)
7066
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()

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

Definition at line 7067 of file z3py.py.

7067 def query_from_lvl (self, lvl, *query):
7068 """Query the fixedpoint engine whether formula is derivable starting at the given query level.
7069 """
7070 query = _get_args(query)
7071 sz = len(query)
7072 if sz >= 1 and isinstance(query[0], FuncDecl):
7073 _z3_assert (False, "unsupported")
7074 else:
7075 if sz == 1:
7076 query = query[0]
7077 else:
7078 query = And(query)
7079 query = self.abstract(query, False)
7080 r = Z3_fixedpoint_query_from_lvl (self.ctx.ref(), self.fixedpoint, query.as_ast(), lvl)
7081 return CheckSatResult(r)
7082

◆ reason_unknown()

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

Definition at line 7181 of file z3py.py.

7181 def reason_unknown(self):
7182 """Return a string describing why the last `query()` returned `unknown`.
7183 """
7184 return Z3_fixedpoint_get_reason_unknown(self.ctx.ref(), self.fixedpoint)
7185
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()

def register_relation (   self,
relations 
)
Register relation as recursive

Definition at line 7127 of file z3py.py.

7127 def register_relation(self, *relations):
7128 """Register relation as recursive"""
7129 relations = _get_args(relations)
7130 for f in relations:
7131 Z3_fixedpoint_register_relation(self.ctx.ref(), self.fixedpoint, f.ast)
7132
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()

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

Definition at line 7037 of file z3py.py.

7037 def rule(self, head, body = None, name = None):
7038 """Assert rules defining recursive predicates to the fixedpoint solver. Alias for add_rule."""
7039 self.add_rule(head, body, name)
7040

◆ set()

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

Definition at line 6970 of file z3py.py.

6970 def set(self, *args, **keys):
6971 """Set a configuration option. The method `help()` return a string containing all available options.
6972 """
6973 p = args2params(args, keys, self.ctx)
6974 Z3_fixedpoint_set_params(self.ctx.ref(), self.fixedpoint, p.params)
6975
def args2params(arguments, keywords, ctx=None)
Definition: z3py.py:5070
void Z3_API Z3_fixedpoint_set_params(Z3_context c, Z3_fixedpoint f, Z3_params p)
Set parameters on fixedpoint context.

◆ set_predicate_representation()

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

Definition at line 7133 of file z3py.py.

7133 def set_predicate_representation(self, f, *representations):
7134 """Control how relation is represented"""
7135 representations = _get_args(representations)
7136 representations = [to_symbol(s) for s in representations]
7137 sz = len(representations)
7138 args = (Symbol * sz)()
7139 for i in range(sz):
7140 args[i] = representations[i]
7141 Z3_fixedpoint_set_predicate_representation(self.ctx.ref(), self.fixedpoint, f.ast, sz, args)
7142
expr range(expr const &lo, expr const &hi)
Definition: z3++.h:3431
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()

def 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 7163 of file z3py.py.

7163 def sexpr(self):
7164 """Return a formatted string (in Lisp-like format) with all added constraints. We say the string is in s-expression format.
7165 """
7166 return Z3_fixedpoint_to_string(self.ctx.ref(), self.fixedpoint, 0, (Ast * 0)())
7167
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.

Referenced by Fixedpoint.__repr__(), and Optimize.__repr__().

◆ statistics()

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

Definition at line 7176 of file z3py.py.

7176 def statistics(self):
7177 """Return statistics for the last `query()`.
7178 """
7179 return Statistics(Z3_fixedpoint_get_statistics(self.ctx.ref(), self.fixedpoint), self.ctx)
7180
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()

def 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 7168 of file z3py.py.

7168 def to_string(self, queries):
7169 """Return a formatted string (in Lisp-like format) with all added constraints.
7170 We say the string is in s-expression format.
7171 Include also queries.
7172 """
7173 args, len = _to_ast_array(queries)
7174 return Z3_fixedpoint_to_string(self.ctx.ref(), self.fixedpoint, len, args)
7175

◆ update_rule()

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

Definition at line 7083 of file z3py.py.

7083 def update_rule(self, head, body, name):
7084 """update rule"""
7085 if name is None:
7086 name = ""
7087 name = to_symbol(name, self.ctx)
7088 body = _get_args(body)
7089 f = self.abstract(Implies(And(body, self.ctx),head))
7090 Z3_fixedpoint_update_rule(self.ctx.ref(), self.fixedpoint, f.as_ast(), name)
7091
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

Definition at line 6954 of file z3py.py.

Referenced by ArithRef.__add__(), BitVecRef.__add__(), FPRef.__add__(), BitVecRef.__and__(), FuncDeclRef.__call__(), Probe.__call__(), AstMap.__contains__(), AstRef.__copy__(), Goal.__copy__(), AstVector.__copy__(), FuncInterp.__copy__(), ModelRef.__copy__(), Solver.__copy__(), AstRef.__deepcopy__(), Datatype.__deepcopy__(), ParamsRef.__deepcopy__(), ParamDescrsRef.__deepcopy__(), Goal.__deepcopy__(), AstVector.__deepcopy__(), AstMap.__deepcopy__(), FuncEntry.__deepcopy__(), FuncInterp.__deepcopy__(), ModelRef.__deepcopy__(), Statistics.__deepcopy__(), Solver.__deepcopy__(), Fixedpoint.__deepcopy__(), Optimize.__deepcopy__(), ApplyResult.__deepcopy__(), Tactic.__deepcopy__(), Probe.__deepcopy__(), Context.__del__(), AstRef.__del__(), ScopedConstructor.__del__(), ScopedConstructorList.__del__(), ParamsRef.__del__(), ParamDescrsRef.__del__(), Goal.__del__(), AstVector.__del__(), AstMap.__del__(), FuncEntry.__del__(), FuncInterp.__del__(), ModelRef.__del__(), Statistics.__del__(), Solver.__del__(), Fixedpoint.__del__(), Optimize.__del__(), ApplyResult.__del__(), Tactic.__del__(), Probe.__del__(), ArithRef.__div__(), BitVecRef.__div__(), FPRef.__div__(), ExprRef.__eq__(), Probe.__eq__(), ArithRef.__ge__(), BitVecRef.__ge__(), Probe.__ge__(), FPRef.__ge__(), SeqRef.__ge__(), QuantifierRef.__getitem__(), ArrayRef.__getitem__(), AstVector.__getitem__(), SeqRef.__getitem__(), ModelRef.__getitem__(), Statistics.__getitem__(), ApplyResult.__getitem__(), AstMap.__getitem__(), ArithRef.__gt__(), BitVecRef.__gt__(), Probe.__gt__(), FPRef.__gt__(), SeqRef.__gt__(), BitVecRef.__invert__(), ArithRef.__le__(), BitVecRef.__le__(), Probe.__le__(), FPRef.__le__(), SeqRef.__le__(), AstVector.__len__(), AstMap.__len__(), ModelRef.__len__(), Statistics.__len__(), ApplyResult.__len__(), BitVecRef.__lshift__(), ArithRef.__lt__(), BitVecRef.__lt__(), Probe.__lt__(), FPRef.__lt__(), SeqRef.__lt__(), ArithRef.__mod__(), BitVecRef.__mod__(), ArithRef.__mul__(), BitVecRef.__mul__(), FPRef.__mul__(), ExprRef.__ne__(), Probe.__ne__(), ArithRef.__neg__(), BitVecRef.__neg__(), BitVecRef.__or__(), ArithRef.__pow__(), ArithRef.__radd__(), BitVecRef.__radd__(), FPRef.__radd__(), BitVecRef.__rand__(), ArithRef.__rdiv__(), BitVecRef.__rdiv__(), FPRef.__rdiv__(), ParamsRef.__repr__(), ParamDescrsRef.__repr__(), AstMap.__repr__(), Statistics.__repr__(), BitVecRef.__rlshift__(), ArithRef.__rmod__(), BitVecRef.__rmod__(), ArithRef.__rmul__(), BitVecRef.__rmul__(), FPRef.__rmul__(), BitVecRef.__ror__(), ArithRef.__rpow__(), BitVecRef.__rrshift__(), BitVecRef.__rshift__(), ArithRef.__rsub__(), BitVecRef.__rsub__(), FPRef.__rsub__(), BitVecRef.__rxor__(), AstVector.__setitem__(), AstMap.__setitem__(), ArithRef.__sub__(), BitVecRef.__sub__(), FPRef.__sub__(), BitVecRef.__xor__(), DatatypeSortRef.accessor(), Fixedpoint.add_cover(), Fixedpoint.add_rule(), Optimize.add_soft(), Tactic.apply(), AlgebraicNumRef.approx(), ExprRef.arg(), FuncEntry.arg_value(), FuncInterp.arity(), Goal.as_expr(), ApplyResult.as_expr(), FPNumRef.as_string(), Solver.assert_and_track(), Optimize.assert_and_track(), Goal.assert_exprs(), Solver.assert_exprs(), Fixedpoint.assert_exprs(), Optimize.assert_exprs(), Solver.assertions(), Optimize.assertions(), SeqRef.at(), SeqSortRef.basis(), ReSortRef.basis(), QuantifierRef.body(), BoolSortRef.cast(), Solver.check(), Optimize.check(), Solver.consequences(), DatatypeSortRef.constructor(), Goal.convert_model(), AstRef.ctx_ref(), ExprRef.decl(), ModelRef.decls(), ArrayRef.default(), RatNumRef.denominator(), Goal.depth(), Goal.dimacs(), Solver.dimacs(), ArraySortRef.domain(), FuncDeclRef.domain(), FuncInterp.else_value(), FuncInterp.entry(), AstMap.erase(), ModelRef.eval(), FPNumRef.exponent(), FPNumRef.exponent_as_bv(), FPNumRef.exponent_as_long(), Solver.from_file(), Optimize.from_file(), Solver.from_string(), Optimize.from_string(), Goal.get(), Fixedpoint.get_answer(), Fixedpoint.get_assertions(), Fixedpoint.get_cover_delta(), ParamDescrsRef.get_documentation(), Fixedpoint.get_ground_sat_answer(), ModelRef.get_interp(), Statistics.get_key_value(), ParamDescrsRef.get_kind(), ParamDescrsRef.get_name(), Fixedpoint.get_num_levels(), Fixedpoint.get_rule_names_along_trace(), Fixedpoint.get_rules(), Fixedpoint.get_rules_along_trace(), ModelRef.get_sort(), ModelRef.get_universe(), Solver.help(), Fixedpoint.help(), Optimize.help(), Tactic.help(), Solver.import_model_converter(), Goal.inconsistent(), FPNumRef.isInf(), FPNumRef.isNaN(), FPNumRef.isNegative(), FPNumRef.isNormal(), FPNumRef.isPositive(), FPNumRef.isSubnormal(), FPNumRef.isZero(), AstMap.keys(), Statistics.keys(), SortRef.kind(), Optimize.maximize(), Optimize.minimize(), Solver.model(), Optimize.model(), SortRef.name(), FuncDeclRef.name(), QuantifierRef.no_pattern(), Solver.non_units(), FuncEntry.num_args(), FuncInterp.num_entries(), Solver.num_scopes(), ModelRef.num_sorts(), RatNumRef.numerator(), Optimize.objectives(), Solver.param_descrs(), Fixedpoint.param_descrs(), Optimize.param_descrs(), Tactic.param_descrs(), FuncDeclRef.params(), Fixedpoint.parse_file(), Fixedpoint.parse_string(), QuantifierRef.pattern(), Optimize.pop(), Solver.pop(), Goal.prec(), Solver.proof(), Solver.push(), Optimize.push(), AstVector.push(), Fixedpoint.query(), Fixedpoint.query_from_lvl(), FuncDeclRef.range(), ArraySortRef.range(), Solver.reason_unknown(), Fixedpoint.reason_unknown(), Optimize.reason_unknown(), DatatypeSortRef.recognizer(), Context.ref(), Fixedpoint.register_relation(), AstMap.reset(), Solver.reset(), AstVector.resize(), Solver.set(), Fixedpoint.set(), Optimize.set(), ParamsRef.set(), Fixedpoint.set_predicate_representation(), Goal.sexpr(), AstVector.sexpr(), ModelRef.sexpr(), Solver.sexpr(), Fixedpoint.sexpr(), Optimize.sexpr(), ApplyResult.sexpr(), FPNumRef.sign(), FPNumRef.sign_as_bv(), FPNumRef.significand(), FPNumRef.significand_as_bv(), FPNumRef.significand_as_long(), ParamDescrsRef.size(), Goal.size(), Tactic.solver(), ExprRef.sort(), BoolRef.sort(), QuantifierRef.sort(), ArithRef.sort(), BitVecRef.sort(), ArrayRef.sort(), DatatypeRef.sort(), FiniteDomainRef.sort(), FPRef.sort(), SeqRef.sort(), Solver.statistics(), Fixedpoint.statistics(), Optimize.statistics(), Solver.to_smt2(), Fixedpoint.to_string(), Solver.trail(), Solver.trail_levels(), AstVector.translate(), FuncInterp.translate(), AstRef.translate(), Goal.translate(), ModelRef.translate(), Solver.translate(), Solver.units(), Solver.unsat_core(), Optimize.unsat_core(), Fixedpoint.update_rule(), ParamsRef.validate(), FuncEntry.value(), QuantifierRef.var_name(), and QuantifierRef.var_sort().

◆ fixedpoint

fixedpoint

◆ vars

vars

Definition at line 6961 of file z3py.py.

Referenced by Fixedpoint.abstract(), and Fixedpoint.declare_var().