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 6916 of file z3py.py.

Constructor & Destructor Documentation

◆ __init__()

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

Definition at line 6919 of file z3py.py.

6919  def __init__(self, fixedpoint=None, ctx=None):
6920  assert fixedpoint is None or ctx is not None
6921  self.ctx = _get_ctx(ctx)
6922  self.fixedpoint = None
6923  if fixedpoint is None:
6924  self.fixedpoint = Z3_mk_fixedpoint(self.ctx.ref())
6925  else:
6926  self.fixedpoint = fixedpoint
6927  Z3_fixedpoint_inc_ref(self.ctx.ref(), self.fixedpoint)
6928  self.vars = []
6929 
Z3_fixedpoint Z3_API Z3_mk_fixedpoint(Z3_context c)
Create a new fixedpoint context.
void Z3_API Z3_fixedpoint_inc_ref(Z3_context c, Z3_fixedpoint d)
Increment the reference counter of the given fixedpoint context.

◆ __del__()

def __del__ (   self)

Definition at line 6933 of file z3py.py.

6933  def __del__(self):
6934  if self.fixedpoint is not None and self.ctx.ref() is not None:
6935  Z3_fixedpoint_dec_ref(self.ctx.ref(), self.fixedpoint)
6936 
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 6930 of file z3py.py.

6930  def __deepcopy__(self, memo={}):
6931  return FixedPoint(self.fixedpoint, self.ctx)
6932 

◆ __iadd__()

def __iadd__ (   self,
  fml 
)

Definition at line 6969 of file z3py.py.

6969  def __iadd__(self, fml):
6970  self.add(fml)
6971  return self
6972 

◆ __repr__()

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

Definition at line 7126 of file z3py.py.

7126  def __repr__(self):
7127  """Return a formatted string with all added rules and constraints."""
7128  return self.sexpr()
7129 

◆ abstract()

def abstract (   self,
  fml,
  is_forall = True 
)

Definition at line 7162 of file z3py.py.

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

7162  def abstract(self, fml, is_forall=True):
7163  if self.vars == []:
7164  return fml
7165  if is_forall:
7166  return ForAll(self.vars, fml)
7167  else:
7168  return Exists(self.vars, fml)
7169 
7170 
def Exists(vs, body, weight=1, qid="", skid="", patterns=[], no_patterns=[])
Definition: z3py.py:2044
def ForAll(vs, body, weight=1, qid="", skid="", patterns=[], no_patterns=[])
Definition: z3py.py:2027

◆ add()

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

Definition at line 6965 of file z3py.py.

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

6965  def add(self, *args):
6966  """Assert constraints as background axioms for the fixedpoint solver. Alias for assert_expr."""
6967  self.assert_exprs(*args)
6968 

◆ 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 7090 of file z3py.py.

7090  def add_cover(self, level, predicate, property):
7091  """Add property to predicate for the level'th unfolding. -1 is treated as infinity (infinity)"""
7092  Z3_fixedpoint_add_cover(self.ctx.ref(), self.fixedpoint, level, predicate.ast, property.ast)
7093 
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 6981 of file z3py.py.

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

6981  def add_rule(self, head, body = None, name = None):
6982  """Assert rules defining recursive predicates to the fixedpoint solver.
6983  >>> a = Bool('a')
6984  >>> b = Bool('b')
6985  >>> s = Fixedpoint()
6986  >>> s.register_relation(a.decl())
6987  >>> s.register_relation(b.decl())
6988  >>> s.fact(a)
6989  >>> s.rule(b, a)
6990  >>> s.query(b)
6991  sat
6992  """
6993  if name is None:
6994  name = ""
6995  name = to_symbol(name, self.ctx)
6996  if body is None:
6997  head = self.abstract(head)
6998  Z3_fixedpoint_add_rule(self.ctx.ref(), self.fixedpoint, head.as_ast(), name)
6999  else:
7000  body = _get_args(body)
7001  f = self.abstract(Implies(And(body, self.ctx),head))
7002  Z3_fixedpoint_add_rule(self.ctx.ref(), self.fixedpoint, f.as_ast(), name)
7003 
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: ...
def to_symbol(s, ctx=None)
Definition: z3py.py:111
def And(args)
Definition: z3py.py:1672
def Implies(a, b, ctx=None)
Definition: z3py.py:1611

◆ append()

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

Definition at line 6973 of file z3py.py.

6973  def append(self, *args):
6974  """Assert constraints as background axioms for the fixedpoint solver. Alias for assert_expr."""
6975  self.assert_exprs(*args)
6976 

◆ assert_exprs()

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

Definition at line 6951 of file z3py.py.

Referenced by Fixedpoint.add(), Optimize.add(), Fixedpoint.append(), and Fixedpoint.insert().

6951  def assert_exprs(self, *args):
6952  """Assert constraints as background axioms for the fixedpoint solver."""
6953  args = _get_args(args)
6954  s = BoolSort(self.ctx)
6955  for arg in args:
6956  if isinstance(arg, Goal) or isinstance(arg, AstVector):
6957  for f in arg:
6958  f = self.abstract(f)
6959  Z3_fixedpoint_assert(self.ctx.ref(), self.fixedpoint, f.as_ast())
6960  else:
6961  arg = s.cast(arg)
6962  arg = self.abstract(arg)
6963  Z3_fixedpoint_assert(self.ctx.ref(), self.fixedpoint, arg.as_ast())
6964 
void Z3_API Z3_fixedpoint_assert(Z3_context c, Z3_fixedpoint d, Z3_ast axiom)
Assert a constraint to the fixedpoint context.
def BoolSort(ctx=None)
Definition: z3py.py:1523

◆ 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 7153 of file z3py.py.

7153  def declare_var(self, *vars):
7154  """Add variable or several variables.
7155  The added variable or variables will be bound in the rules
7156  and queries
7157  """
7158  vars = _get_args(vars)
7159  for v in vars:
7160  self.vars += [v]
7161 

◆ fact()

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

Definition at line 7008 of file z3py.py.

7008  def fact(self, head, name = None):
7009  """Assert facts defining recursive predicates to the fixedpoint solver. Alias for add_rule."""
7010  self.add_rule(head, None, name)
7011 

◆ get_answer()

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

Definition at line 7059 of file z3py.py.

7059  def get_answer(self):
7060  """Retrieve answer from last query call."""
7061  r = Z3_fixedpoint_get_answer(self.ctx.ref(), self.fixedpoint)
7062  return _to_expr_ref(r, self.ctx)
7063 
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 7122 of file z3py.py.

7122  def get_assertions(self):
7123  """retrieve assertions that have been added to fixedpoint context"""
7124  return AstVector(Z3_fixedpoint_get_assertions(self.ctx.ref(), self.fixedpoint), self.ctx)
7125 
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 7085 of file z3py.py.

7085  def get_cover_delta(self, level, predicate):
7086  """Retrieve properties known about predicate for the level'th unfolding. -1 is treated as the limit (infinity)"""
7087  r = Z3_fixedpoint_get_cover_delta(self.ctx.ref(), self.fixedpoint, level, predicate.ast)
7088  return _to_expr_ref(r, self.ctx)
7089 
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 7064 of file z3py.py.

7064  def get_ground_sat_answer(self):
7065  """Retrieve a ground cex from last query call."""
7066  r = Z3_fixedpoint_get_ground_sat_answer(self.ctx.ref(), self.fixedpoint)
7067  return _to_expr_ref(r, self.ctx)
7068 

◆ get_num_levels()

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

Definition at line 7081 of file z3py.py.

7081  def get_num_levels(self, predicate):
7082  """Retrieve number of levels used for predicate in PDR engine"""
7083  return Z3_fixedpoint_get_num_levels(self.ctx.ref(), self.fixedpoint, predicate.ast)
7084 
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 7073 of file z3py.py.

7073  def get_rule_names_along_trace(self):
7074  """retrieve rule names along the counterexample trace"""
7075  # this is a hack as I don't know how to return a list of symbols from C++;
7076  # obtain names as a single string separated by semicolons
7077  names = _symbol2py (self.ctx, Z3_fixedpoint_get_rule_names_along_trace(self.ctx.ref(), self.fixedpoint))
7078  # split into individual names
7079  return names.split (';')
7080 

◆ get_rules()

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

Definition at line 7118 of file z3py.py.

7118  def get_rules(self):
7119  """retrieve rules that have been added to fixedpoint context"""
7120  return AstVector(Z3_fixedpoint_get_rules(self.ctx.ref(), self.fixedpoint), self.ctx)
7121 
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 7069 of file z3py.py.

7069  def get_rules_along_trace(self):
7070  """retrieve rules along the counterexample trace"""
7071  return AstVector(Z3_fixedpoint_get_rules_along_trace(self.ctx.ref(), self.fixedpoint), self.ctx)
7072 

◆ help()

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

Definition at line 6943 of file z3py.py.

6943  def help(self):
6944  """Display a string describing all available options."""
6945  print(Z3_fixedpoint_get_help(self.ctx.ref(), self.fixedpoint))
6946 
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 6977 of file z3py.py.

6977  def insert(self, *args):
6978  """Assert constraints as background axioms for the fixedpoint solver. Alias for assert_expr."""
6979  self.assert_exprs(*args)
6980 

◆ param_descrs()

def param_descrs (   self)
Return the parameter description set.

Definition at line 6947 of file z3py.py.

6947  def param_descrs(self):
6948  """Return the parameter description set."""
6949  return ParamDescrsRef(Z3_fixedpoint_get_param_descrs(self.ctx.ref(), self.fixedpoint), self.ctx)
6950 
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 7114 of file z3py.py.

7114  def parse_file(self, f):
7115  """Parse rules and queries from a file"""
7116  return AstVector(Z3_fixedpoint_from_file(self.ctx.ref(), self.fixedpoint, f), self.ctx)
7117 
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 7110 of file z3py.py.

7110  def parse_string(self, s):
7111  """Parse rules and queries from a string"""
7112  return AstVector(Z3_fixedpoint_from_string(self.ctx.ref(), self.fixedpoint, s), self.ctx)
7113 
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 7012 of file z3py.py.

7012  def query(self, *query):
7013  """Query the fixedpoint engine whether formula is derivable.
7014  You can also pass an tuple or list of recursive predicates.
7015  """
7016  query = _get_args(query)
7017  sz = len(query)
7018  if sz >= 1 and isinstance(query[0], FuncDeclRef):
7019  _decls = (FuncDecl * sz)()
7020  i = 0
7021  for q in query:
7022  _decls[i] = q.ast
7023  i = i + 1
7024  r = Z3_fixedpoint_query_relations(self.ctx.ref(), self.fixedpoint, sz, _decls)
7025  else:
7026  if sz == 1:
7027  query = query[0]
7028  else:
7029  query = And(query, self.ctx)
7030  query = self.abstract(query, False)
7031  r = Z3_fixedpoint_query(self.ctx.ref(), self.fixedpoint, query.as_ast())
7032  return CheckSatResult(r)
7033 
def And(args)
Definition: z3py.py:1672
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 7034 of file z3py.py.

7034  def query_from_lvl (self, lvl, *query):
7035  """Query the fixedpoint engine whether formula is derivable starting at the given query level.
7036  """
7037  query = _get_args(query)
7038  sz = len(query)
7039  if sz >= 1 and isinstance(query[0], FuncDecl):
7040  _z3_assert (False, "unsupported")
7041  else:
7042  if sz == 1:
7043  query = query[0]
7044  else:
7045  query = And(query)
7046  query = self.abstract(query, False)
7047  r = Z3_fixedpoint_query_from_lvl (self.ctx.ref(), self.fixedpoint, query.as_ast(), lvl)
7048  return CheckSatResult(r)
7049 
def And(args)
Definition: z3py.py:1672

◆ reason_unknown()

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

Definition at line 7148 of file z3py.py.

7148  def reason_unknown(self):
7149  """Return a string describing why the last `query()` returned `unknown`.
7150  """
7151  return Z3_fixedpoint_get_reason_unknown(self.ctx.ref(), self.fixedpoint)
7152 
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 7094 of file z3py.py.

7094  def register_relation(self, *relations):
7095  """Register relation as recursive"""
7096  relations = _get_args(relations)
7097  for f in relations:
7098  Z3_fixedpoint_register_relation(self.ctx.ref(), self.fixedpoint, f.ast)
7099 
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 7004 of file z3py.py.

7004  def rule(self, head, body = None, name = None):
7005  """Assert rules defining recursive predicates to the fixedpoint solver. Alias for add_rule."""
7006  self.add_rule(head, body, name)
7007 

◆ set()

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

Definition at line 6937 of file z3py.py.

6937  def set(self, *args, **keys):
6938  """Set a configuration option. The method `help()` return a string containing all available options.
6939  """
6940  p = args2params(args, keys, self.ctx)
6941  Z3_fixedpoint_set_params(self.ctx.ref(), self.fixedpoint, p.params)
6942 
def args2params(arguments, keywords, ctx=None)
Definition: z3py.py:5050
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 7100 of file z3py.py.

7100  def set_predicate_representation(self, f, *representations):
7101  """Control how relation is represented"""
7102  representations = _get_args(representations)
7103  representations = [to_symbol(s) for s in representations]
7104  sz = len(representations)
7105  args = (Symbol * sz)()
7106  for i in range(sz):
7107  args[i] = representations[i]
7108  Z3_fixedpoint_set_predicate_representation(self.ctx.ref(), self.fixedpoint, f.ast, sz, args)
7109 
expr range(expr const &lo, expr const &hi)
Definition: z3++.h:3358
def to_symbol(s, ctx=None)
Definition: z3py.py:111
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 7130 of file z3py.py.

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

7130  def sexpr(self):
7131  """Return a formatted string (in Lisp-like format) with all added constraints. We say the string is in s-expression format.
7132  """
7133  return Z3_fixedpoint_to_string(self.ctx.ref(), self.fixedpoint, 0, (Ast * 0)())
7134 
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()

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

Definition at line 7143 of file z3py.py.

7143  def statistics(self):
7144  """Return statistics for the last `query()`.
7145  """
7146  return Statistics(Z3_fixedpoint_get_statistics(self.ctx.ref(), self.fixedpoint), self.ctx)
7147 
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 7135 of file z3py.py.

7135  def to_string(self, queries):
7136  """Return a formatted string (in Lisp-like format) with all added constraints.
7137  We say the string is in s-expression format.
7138  Include also queries.
7139  """
7140  args, len = _to_ast_array(queries)
7141  return Z3_fixedpoint_to_string(self.ctx.ref(), self.fixedpoint, len, args)
7142 
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.

◆ update_rule()

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

Definition at line 7050 of file z3py.py.

7050  def update_rule(self, head, body, name):
7051  """update rule"""
7052  if name is None:
7053  name = ""
7054  name = to_symbol(name, self.ctx)
7055  body = _get_args(body)
7056  f = self.abstract(Implies(And(body, self.ctx),head))
7057  Z3_fixedpoint_update_rule(self.ctx.ref(), self.fixedpoint, f.as_ast(), name)
7058 
def to_symbol(s, ctx=None)
Definition: z3py.py:111
def And(args)
Definition: z3py.py:1672
def Implies(a, b, ctx=None)
Definition: z3py.py:1611
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 6921 of file z3py.py.

Referenced by Probe.__call__(), Fixedpoint.__deepcopy__(), Optimize.__deepcopy__(), ApplyResult.__deepcopy__(), Tactic.__deepcopy__(), Probe.__deepcopy__(), Fixedpoint.__del__(), Optimize.__del__(), ApplyResult.__del__(), Tactic.__del__(), Probe.__del__(), Probe.__eq__(), Probe.__ge__(), ApplyResult.__getitem__(), Probe.__gt__(), Probe.__le__(), ApplyResult.__len__(), Probe.__lt__(), Probe.__ne__(), Fixedpoint.add_cover(), Fixedpoint.add_rule(), Optimize.add_soft(), Tactic.apply(), ApplyResult.as_expr(), Optimize.assert_and_track(), Fixedpoint.assert_exprs(), Optimize.assert_exprs(), Optimize.assertions(), Optimize.check(), Optimize.from_file(), Optimize.from_string(), Fixedpoint.get_answer(), Fixedpoint.get_assertions(), Fixedpoint.get_cover_delta(), Fixedpoint.get_ground_sat_answer(), Fixedpoint.get_num_levels(), Fixedpoint.get_rule_names_along_trace(), Fixedpoint.get_rules(), Fixedpoint.get_rules_along_trace(), Fixedpoint.help(), Optimize.help(), Tactic.help(), Optimize.maximize(), Optimize.minimize(), Optimize.model(), Optimize.objectives(), Fixedpoint.param_descrs(), Optimize.param_descrs(), Tactic.param_descrs(), Fixedpoint.parse_file(), Fixedpoint.parse_string(), Optimize.pop(), Optimize.push(), Fixedpoint.query(), Fixedpoint.query_from_lvl(), Fixedpoint.reason_unknown(), Optimize.reason_unknown(), Fixedpoint.register_relation(), Fixedpoint.set(), Optimize.set(), Fixedpoint.set_predicate_representation(), Fixedpoint.sexpr(), Optimize.sexpr(), ApplyResult.sexpr(), Tactic.solver(), Fixedpoint.statistics(), Optimize.statistics(), Fixedpoint.to_string(), Optimize.unsat_core(), and Fixedpoint.update_rule().

◆ fixedpoint

fixedpoint

◆ vars

vars

Definition at line 6928 of file z3py.py.

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