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 
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 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 Exists(vs, body, weight=1, qid="", skid="", patterns=[], no_patterns=[])
Definition: z3py.py:2061
def ForAll(vs, body, weight=1, qid="", skid="", patterns=[], no_patterns=[])
Definition: z3py.py:2044

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 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 
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:109
def And(*args)
Definition: z3py.py:1680
def Implies(a, b, ctx=None)
Definition: z3py.py:1621

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 
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:1533

Referenced by Fixedpoint.add(), Optimize.add(), Fixedpoint.append(), 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 
def And(*args)
Definition: z3py.py:1680
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 
def And(*args)
Definition: z3py.py:1680

◆ 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
def to_symbol(s, ctx=None)
Definition: z3py.py:109
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 
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 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 
def to_symbol(s, ctx=None)
Definition: z3py.py:109
def And(*args)
Definition: z3py.py:1680
def Implies(a, b, ctx=None)
Definition: z3py.py:1621
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 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 6961 of file z3py.py.

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