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 7312 of file z3py.py.

Constructor & Destructor Documentation

◆ __init__()

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

Definition at line 7315 of file z3py.py.

7315  def __init__(self, fixedpoint=None, ctx=None):
7316  assert fixedpoint is None or ctx is not None
7317  self.ctx = _get_ctx(ctx)
7318  self.fixedpoint = None
7319  if fixedpoint is None:
7320  self.fixedpoint = Z3_mk_fixedpoint(self.ctx.ref())
7321  else:
7322  self.fixedpoint = fixedpoint
7323  Z3_fixedpoint_inc_ref(self.ctx.ref(), self.fixedpoint)
7324  self.vars = []
7325 
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 7329 of file z3py.py.

7329  def __del__(self):
7330  if self.fixedpoint is not None and self.ctx.ref() is not None:
7331  Z3_fixedpoint_dec_ref(self.ctx.ref(), self.fixedpoint)
7332 
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 7326 of file z3py.py.

7326  def __deepcopy__(self, memo={}):
7327  return FixedPoint(self.fixedpoint, self.ctx)
7328 

◆ __iadd__()

def __iadd__ (   self,
  fml 
)

Definition at line 7365 of file z3py.py.

7365  def __iadd__(self, fml):
7366  self.add(fml)
7367  return self
7368 

◆ __repr__()

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

Definition at line 7526 of file z3py.py.

7526  def __repr__(self):
7527  """Return a formatted string with all added rules and constraints."""
7528  return self.sexpr()
7529 

◆ abstract()

def abstract (   self,
  fml,
  is_forall = True 
)

Definition at line 7563 of file z3py.py.

7563  def abstract(self, fml, is_forall=True):
7564  if self.vars == []:
7565  return fml
7566  if is_forall:
7567  return ForAll(self.vars, fml)
7568  else:
7569  return Exists(self.vars, fml)
7570 
7571 
def ForAll(vs, body, weight=1, qid="", skid="", patterns=[], no_patterns=[])
Definition: z3py.py:2187
def Exists(vs, body, weight=1, qid="", skid="", patterns=[], no_patterns=[])
Definition: z3py.py:2205

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 7361 of file z3py.py.

7361  def add(self, *args):
7362  """Assert constraints as background axioms for the fixedpoint solver. Alias for assert_expr."""
7363  self.assert_exprs(*args)
7364 

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 7488 of file z3py.py.

7488  def add_cover(self, level, predicate, property):
7489  """Add property to predicate for the level'th unfolding.
7490  -1 is treated as infinity (infinity)
7491  """
7492  Z3_fixedpoint_add_cover(self.ctx.ref(), self.fixedpoint, level, predicate.ast, property.ast)
7493 
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 7377 of file z3py.py.

7377  def add_rule(self, head, body=None, name=None):
7378  """Assert rules defining recursive predicates to the fixedpoint solver.
7379  >>> a = Bool('a')
7380  >>> b = Bool('b')
7381  >>> s = Fixedpoint()
7382  >>> s.register_relation(a.decl())
7383  >>> s.register_relation(b.decl())
7384  >>> s.fact(a)
7385  >>> s.rule(b, a)
7386  >>> s.query(b)
7387  sat
7388  """
7389  if name is None:
7390  name = ""
7391  name = to_symbol(name, self.ctx)
7392  if body is None:
7393  head = self.abstract(head)
7394  Z3_fixedpoint_add_rule(self.ctx.ref(), self.fixedpoint, head.as_ast(), name)
7395  else:
7396  body = _get_args(body)
7397  f = self.abstract(Implies(And(body, self.ctx), head))
7398  Z3_fixedpoint_add_rule(self.ctx.ref(), self.fixedpoint, f.as_ast(), name)
7399 
def Implies(a, b, ctx=None)
Definition: z3py.py:1749
def to_symbol(s, ctx=None)
Definition: z3py.py:129
def And(*args)
Definition: z3py.py:1813
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 7369 of file z3py.py.

7369  def append(self, *args):
7370  """Assert constraints as background axioms for the fixedpoint solver. Alias for assert_expr."""
7371  self.assert_exprs(*args)
7372 

◆ assert_exprs()

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

Definition at line 7347 of file z3py.py.

7347  def assert_exprs(self, *args):
7348  """Assert constraints as background axioms for the fixedpoint solver."""
7349  args = _get_args(args)
7350  s = BoolSort(self.ctx)
7351  for arg in args:
7352  if isinstance(arg, Goal) or isinstance(arg, AstVector):
7353  for f in arg:
7354  f = self.abstract(f)
7355  Z3_fixedpoint_assert(self.ctx.ref(), self.fixedpoint, f.as_ast())
7356  else:
7357  arg = s.cast(arg)
7358  arg = self.abstract(arg)
7359  Z3_fixedpoint_assert(self.ctx.ref(), self.fixedpoint, arg.as_ast())
7360 
def BoolSort(ctx=None)
Definition: z3py.py:1655
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 7554 of file z3py.py.

7554  def declare_var(self, *vars):
7555  """Add variable or several variables.
7556  The added variable or variables will be bound in the rules
7557  and queries
7558  """
7559  vars = _get_args(vars)
7560  for v in vars:
7561  self.vars += [v]
7562 

◆ fact()

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

Definition at line 7404 of file z3py.py.

7404  def fact(self, head, name=None):
7405  """Assert facts defining recursive predicates to the fixedpoint solver. Alias for add_rule."""
7406  self.add_rule(head, None, name)
7407 

◆ get_answer()

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

Definition at line 7455 of file z3py.py.

7455  def get_answer(self):
7456  """Retrieve answer from last query call."""
7457  r = Z3_fixedpoint_get_answer(self.ctx.ref(), self.fixedpoint)
7458  return _to_expr_ref(r, self.ctx)
7459 
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 7522 of file z3py.py.

7522  def get_assertions(self):
7523  """retrieve assertions that have been added to fixedpoint context"""
7524  return AstVector(Z3_fixedpoint_get_assertions(self.ctx.ref(), self.fixedpoint), self.ctx)
7525 
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 7481 of file z3py.py.

7481  def get_cover_delta(self, level, predicate):
7482  """Retrieve properties known about predicate for the level'th unfolding.
7483  -1 is treated as the limit (infinity)
7484  """
7485  r = Z3_fixedpoint_get_cover_delta(self.ctx.ref(), self.fixedpoint, level, predicate.ast)
7486  return _to_expr_ref(r, self.ctx)
7487 
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 7460 of file z3py.py.

7460  def get_ground_sat_answer(self):
7461  """Retrieve a ground cex from last query call."""
7462  r = Z3_fixedpoint_get_ground_sat_answer(self.ctx.ref(), self.fixedpoint)
7463  return _to_expr_ref(r, self.ctx)
7464 

◆ get_num_levels()

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

Definition at line 7477 of file z3py.py.

7477  def get_num_levels(self, predicate):
7478  """Retrieve number of levels used for predicate in PDR engine"""
7479  return Z3_fixedpoint_get_num_levels(self.ctx.ref(), self.fixedpoint, predicate.ast)
7480 
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 7469 of file z3py.py.

7469  def get_rule_names_along_trace(self):
7470  """retrieve rule names along the counterexample trace"""
7471  # this is a hack as I don't know how to return a list of symbols from C++;
7472  # obtain names as a single string separated by semicolons
7473  names = _symbol2py(self.ctx, Z3_fixedpoint_get_rule_names_along_trace(self.ctx.ref(), self.fixedpoint))
7474  # split into individual names
7475  return names.split(";")
7476 

◆ get_rules()

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

Definition at line 7518 of file z3py.py.

7518  def get_rules(self):
7519  """retrieve rules that have been added to fixedpoint context"""
7520  return AstVector(Z3_fixedpoint_get_rules(self.ctx.ref(), self.fixedpoint), self.ctx)
7521 
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 7465 of file z3py.py.

7465  def get_rules_along_trace(self):
7466  """retrieve rules along the counterexample trace"""
7467  return AstVector(Z3_fixedpoint_get_rules_along_trace(self.ctx.ref(), self.fixedpoint), self.ctx)
7468 

◆ help()

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

Definition at line 7339 of file z3py.py.

7339  def help(self):
7340  """Display a string describing all available options."""
7341  print(Z3_fixedpoint_get_help(self.ctx.ref(), self.fixedpoint))
7342 
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 7373 of file z3py.py.

7373  def insert(self, *args):
7374  """Assert constraints as background axioms for the fixedpoint solver. Alias for assert_expr."""
7375  self.assert_exprs(*args)
7376 

◆ param_descrs()

def param_descrs (   self)
Return the parameter description set.

Definition at line 7343 of file z3py.py.

7343  def param_descrs(self):
7344  """Return the parameter description set."""
7345  return ParamDescrsRef(Z3_fixedpoint_get_param_descrs(self.ctx.ref(), self.fixedpoint), self.ctx)
7346 
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 7514 of file z3py.py.

7514  def parse_file(self, f):
7515  """Parse rules and queries from a file"""
7516  return AstVector(Z3_fixedpoint_from_file(self.ctx.ref(), self.fixedpoint, f), self.ctx)
7517 
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 7510 of file z3py.py.

7510  def parse_string(self, s):
7511  """Parse rules and queries from a string"""
7512  return AstVector(Z3_fixedpoint_from_string(self.ctx.ref(), self.fixedpoint, s), self.ctx)
7513 
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 7408 of file z3py.py.

7408  def query(self, *query):
7409  """Query the fixedpoint engine whether formula is derivable.
7410  You can also pass an tuple or list of recursive predicates.
7411  """
7412  query = _get_args(query)
7413  sz = len(query)
7414  if sz >= 1 and isinstance(query[0], FuncDeclRef):
7415  _decls = (FuncDecl * sz)()
7416  i = 0
7417  for q in query:
7418  _decls[i] = q.ast
7419  i = i + 1
7420  r = Z3_fixedpoint_query_relations(self.ctx.ref(), self.fixedpoint, sz, _decls)
7421  else:
7422  if sz == 1:
7423  query = query[0]
7424  else:
7425  query = And(query, self.ctx)
7426  query = self.abstract(query, False)
7427  r = Z3_fixedpoint_query(self.ctx.ref(), self.fixedpoint, query.as_ast())
7428  return CheckSatResult(r)
7429 
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 7430 of file z3py.py.

7430  def query_from_lvl(self, lvl, *query):
7431  """Query the fixedpoint engine whether formula is derivable starting at the given query level.
7432  """
7433  query = _get_args(query)
7434  sz = len(query)
7435  if sz >= 1 and isinstance(query[0], FuncDecl):
7436  _z3_assert(False, "unsupported")
7437  else:
7438  if sz == 1:
7439  query = query[0]
7440  else:
7441  query = And(query)
7442  query = self.abstract(query, False)
7443  r = Z3_fixedpoint_query_from_lvl(self.ctx.ref(), self.fixedpoint, query.as_ast(), lvl)
7444  return CheckSatResult(r)
7445 

◆ reason_unknown()

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

Definition at line 7549 of file z3py.py.

7549  def reason_unknown(self):
7550  """Return a string describing why the last `query()` returned `unknown`.
7551  """
7552  return Z3_fixedpoint_get_reason_unknown(self.ctx.ref(), self.fixedpoint)
7553 
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 7494 of file z3py.py.

7494  def register_relation(self, *relations):
7495  """Register relation as recursive"""
7496  relations = _get_args(relations)
7497  for f in relations:
7498  Z3_fixedpoint_register_relation(self.ctx.ref(), self.fixedpoint, f.ast)
7499 
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 7400 of file z3py.py.

7400  def rule(self, head, body=None, name=None):
7401  """Assert rules defining recursive predicates to the fixedpoint solver. Alias for add_rule."""
7402  self.add_rule(head, body, name)
7403 

◆ set()

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

Definition at line 7333 of file z3py.py.

7333  def set(self, *args, **keys):
7334  """Set a configuration option. The method `help()` return a string containing all available options.
7335  """
7336  p = args2params(args, keys, self.ctx)
7337  Z3_fixedpoint_set_params(self.ctx.ref(), self.fixedpoint, p.params)
7338 
def args2params(arguments, keywords, ctx=None)
Definition: z3py.py:5396
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 7500 of file z3py.py.

7500  def set_predicate_representation(self, f, *representations):
7501  """Control how relation is represented"""
7502  representations = _get_args(representations)
7503  representations = [to_symbol(s) for s in representations]
7504  sz = len(representations)
7505  args = (Symbol * sz)()
7506  for i in range(sz):
7507  args[i] = representations[i]
7508  Z3_fixedpoint_set_predicate_representation(self.ctx.ref(), self.fixedpoint, f.ast, sz, args)
7509 
expr range(expr const &lo, expr const &hi)
Definition: z3++.h:3725
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 7530 of file z3py.py.

7530  def sexpr(self):
7531  """Return a formatted string (in Lisp-like format) with all added constraints.
7532  We say the string is in s-expression format.
7533  """
7534  return Z3_fixedpoint_to_string(self.ctx.ref(), self.fixedpoint, 0, (Ast * 0)())
7535 
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 7544 of file z3py.py.

7544  def statistics(self):
7545  """Return statistics for the last `query()`.
7546  """
7547  return Statistics(Z3_fixedpoint_get_statistics(self.ctx.ref(), self.fixedpoint), self.ctx)
7548 
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 7536 of file z3py.py.

7536  def to_string(self, queries):
7537  """Return a formatted string (in Lisp-like format) with all added constraints.
7538  We say the string is in s-expression format.
7539  Include also queries.
7540  """
7541  args, len = _to_ast_array(queries)
7542  return Z3_fixedpoint_to_string(self.ctx.ref(), self.fixedpoint, len, args)
7543 

◆ update_rule()

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

Definition at line 7446 of file z3py.py.

7446  def update_rule(self, head, body, name):
7447  """update rule"""
7448  if name is None:
7449  name = ""
7450  name = to_symbol(name, self.ctx)
7451  body = _get_args(body)
7452  f = self.abstract(Implies(And(body, self.ctx), head))
7453  Z3_fixedpoint_update_rule(self.ctx.ref(), self.fixedpoint, f.as_ast(), name)
7454 
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 7317 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(), UserPropagateBase.conflict(), Solver.consequences(), DatatypeSortRef.constructor(), Goal.convert_model(), AstRef.ctx_ref(), UserPropagateBase.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(), AlgebraicNumRef.poly(), 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(), Optimize.set_on_model(), 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 7324 of file z3py.py.

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