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 6951 of file z3py.py.

Constructor & Destructor Documentation

◆ __init__()

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

Definition at line 6954 of file z3py.py.

6954  def __init__(self, fixedpoint=None, ctx=None):
6955  assert fixedpoint is None or ctx is not None
6956  self.ctx = _get_ctx(ctx)
6957  self.fixedpoint = None
6958  if fixedpoint is None:
6959  self.fixedpoint = Z3_mk_fixedpoint(self.ctx.ref())
6960  else:
6961  self.fixedpoint = fixedpoint
6962  Z3_fixedpoint_inc_ref(self.ctx.ref(), self.fixedpoint)
6963  self.vars = []
6964 
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 6968 of file z3py.py.

6968  def __del__(self):
6969  if self.fixedpoint is not None and self.ctx.ref() is not None:
6970  Z3_fixedpoint_dec_ref(self.ctx.ref(), self.fixedpoint)
6971 
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 6965 of file z3py.py.

6965  def __deepcopy__(self, memo={}):
6966  return FixedPoint(self.fixedpoint, self.ctx)
6967 

◆ __iadd__()

def __iadd__ (   self,
  fml 
)

Definition at line 7004 of file z3py.py.

7004  def __iadd__(self, fml):
7005  self.add(fml)
7006  return self
7007 

◆ __repr__()

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

Definition at line 7161 of file z3py.py.

7161  def __repr__(self):
7162  """Return a formatted string with all added rules and constraints."""
7163  return self.sexpr()
7164 

◆ abstract()

def abstract (   self,
  fml,
  is_forall = True 
)

Definition at line 7197 of file z3py.py.

7197  def abstract(self, fml, is_forall=True):
7198  if self.vars == []:
7199  return fml
7200  if is_forall:
7201  return ForAll(self.vars, fml)
7202  else:
7203  return Exists(self.vars, fml)
7204 
7205 
def Exists(vs, body, weight=1, qid="", skid="", patterns=[], no_patterns=[])
Definition: z3py.py:2065
def ForAll(vs, body, weight=1, qid="", skid="", patterns=[], no_patterns=[])
Definition: z3py.py:2048

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 7000 of file z3py.py.

7000  def add(self, *args):
7001  """Assert constraints as background axioms for the fixedpoint solver. Alias for assert_expr."""
7002  self.assert_exprs(*args)
7003 

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 7125 of file z3py.py.

7125  def add_cover(self, level, predicate, property):
7126  """Add property to predicate for the level'th unfolding. -1 is treated as infinity (infinity)"""
7127  Z3_fixedpoint_add_cover(self.ctx.ref(), self.fixedpoint, level, predicate.ast, property.ast)
7128 
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 7016 of file z3py.py.

7016  def add_rule(self, head, body = None, name = None):
7017  """Assert rules defining recursive predicates to the fixedpoint solver.
7018  >>> a = Bool('a')
7019  >>> b = Bool('b')
7020  >>> s = Fixedpoint()
7021  >>> s.register_relation(a.decl())
7022  >>> s.register_relation(b.decl())
7023  >>> s.fact(a)
7024  >>> s.rule(b, a)
7025  >>> s.query(b)
7026  sat
7027  """
7028  if name is None:
7029  name = ""
7030  name = to_symbol(name, self.ctx)
7031  if body is None:
7032  head = self.abstract(head)
7033  Z3_fixedpoint_add_rule(self.ctx.ref(), self.fixedpoint, head.as_ast(), name)
7034  else:
7035  body = _get_args(body)
7036  f = self.abstract(Implies(And(body, self.ctx),head))
7037  Z3_fixedpoint_add_rule(self.ctx.ref(), self.fixedpoint, f.as_ast(), name)
7038 
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:1684
def Implies(a, b, ctx=None)
Definition: z3py.py:1623

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 7008 of file z3py.py.

7008  def append(self, *args):
7009  """Assert constraints as background axioms for the fixedpoint solver. Alias for assert_expr."""
7010  self.assert_exprs(*args)
7011 

◆ assert_exprs()

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

Definition at line 6986 of file z3py.py.

6986  def assert_exprs(self, *args):
6987  """Assert constraints as background axioms for the fixedpoint solver."""
6988  args = _get_args(args)
6989  s = BoolSort(self.ctx)
6990  for arg in args:
6991  if isinstance(arg, Goal) or isinstance(arg, AstVector):
6992  for f in arg:
6993  f = self.abstract(f)
6994  Z3_fixedpoint_assert(self.ctx.ref(), self.fixedpoint, f.as_ast())
6995  else:
6996  arg = s.cast(arg)
6997  arg = self.abstract(arg)
6998  Z3_fixedpoint_assert(self.ctx.ref(), self.fixedpoint, arg.as_ast())
6999 
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:1535

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 7188 of file z3py.py.

7188  def declare_var(self, *vars):
7189  """Add variable or several variables.
7190  The added variable or variables will be bound in the rules
7191  and queries
7192  """
7193  vars = _get_args(vars)
7194  for v in vars:
7195  self.vars += [v]
7196 

◆ fact()

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

Definition at line 7043 of file z3py.py.

7043  def fact(self, head, name = None):
7044  """Assert facts defining recursive predicates to the fixedpoint solver. Alias for add_rule."""
7045  self.add_rule(head, None, name)
7046 

◆ get_answer()

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

Definition at line 7094 of file z3py.py.

7094  def get_answer(self):
7095  """Retrieve answer from last query call."""
7096  r = Z3_fixedpoint_get_answer(self.ctx.ref(), self.fixedpoint)
7097  return _to_expr_ref(r, self.ctx)
7098 
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 7157 of file z3py.py.

7157  def get_assertions(self):
7158  """retrieve assertions that have been added to fixedpoint context"""
7159  return AstVector(Z3_fixedpoint_get_assertions(self.ctx.ref(), self.fixedpoint), self.ctx)
7160 
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 7120 of file z3py.py.

7120  def get_cover_delta(self, level, predicate):
7121  """Retrieve properties known about predicate for the level'th unfolding. -1 is treated as the limit (infinity)"""
7122  r = Z3_fixedpoint_get_cover_delta(self.ctx.ref(), self.fixedpoint, level, predicate.ast)
7123  return _to_expr_ref(r, self.ctx)
7124 
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 7099 of file z3py.py.

7099  def get_ground_sat_answer(self):
7100  """Retrieve a ground cex from last query call."""
7101  r = Z3_fixedpoint_get_ground_sat_answer(self.ctx.ref(), self.fixedpoint)
7102  return _to_expr_ref(r, self.ctx)
7103 

◆ get_num_levels()

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

Definition at line 7116 of file z3py.py.

7116  def get_num_levels(self, predicate):
7117  """Retrieve number of levels used for predicate in PDR engine"""
7118  return Z3_fixedpoint_get_num_levels(self.ctx.ref(), self.fixedpoint, predicate.ast)
7119 
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 7108 of file z3py.py.

7108  def get_rule_names_along_trace(self):
7109  """retrieve rule names along the counterexample trace"""
7110  # this is a hack as I don't know how to return a list of symbols from C++;
7111  # obtain names as a single string separated by semicolons
7112  names = _symbol2py (self.ctx, Z3_fixedpoint_get_rule_names_along_trace(self.ctx.ref(), self.fixedpoint))
7113  # split into individual names
7114  return names.split (';')
7115 

◆ get_rules()

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

Definition at line 7153 of file z3py.py.

7153  def get_rules(self):
7154  """retrieve rules that have been added to fixedpoint context"""
7155  return AstVector(Z3_fixedpoint_get_rules(self.ctx.ref(), self.fixedpoint), self.ctx)
7156 
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 7104 of file z3py.py.

7104  def get_rules_along_trace(self):
7105  """retrieve rules along the counterexample trace"""
7106  return AstVector(Z3_fixedpoint_get_rules_along_trace(self.ctx.ref(), self.fixedpoint), self.ctx)
7107 

◆ help()

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

Definition at line 6978 of file z3py.py.

6978  def help(self):
6979  """Display a string describing all available options."""
6980  print(Z3_fixedpoint_get_help(self.ctx.ref(), self.fixedpoint))
6981 
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 7012 of file z3py.py.

7012  def insert(self, *args):
7013  """Assert constraints as background axioms for the fixedpoint solver. Alias for assert_expr."""
7014  self.assert_exprs(*args)
7015 

◆ param_descrs()

def param_descrs (   self)
Return the parameter description set.

Definition at line 6982 of file z3py.py.

6982  def param_descrs(self):
6983  """Return the parameter description set."""
6984  return ParamDescrsRef(Z3_fixedpoint_get_param_descrs(self.ctx.ref(), self.fixedpoint), self.ctx)
6985 
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 7149 of file z3py.py.

7149  def parse_file(self, f):
7150  """Parse rules and queries from a file"""
7151  return AstVector(Z3_fixedpoint_from_file(self.ctx.ref(), self.fixedpoint, f), self.ctx)
7152 
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 7145 of file z3py.py.

7145  def parse_string(self, s):
7146  """Parse rules and queries from a string"""
7147  return AstVector(Z3_fixedpoint_from_string(self.ctx.ref(), self.fixedpoint, s), self.ctx)
7148 
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 7047 of file z3py.py.

7047  def query(self, *query):
7048  """Query the fixedpoint engine whether formula is derivable.
7049  You can also pass an tuple or list of recursive predicates.
7050  """
7051  query = _get_args(query)
7052  sz = len(query)
7053  if sz >= 1 and isinstance(query[0], FuncDeclRef):
7054  _decls = (FuncDecl * sz)()
7055  i = 0
7056  for q in query:
7057  _decls[i] = q.ast
7058  i = i + 1
7059  r = Z3_fixedpoint_query_relations(self.ctx.ref(), self.fixedpoint, sz, _decls)
7060  else:
7061  if sz == 1:
7062  query = query[0]
7063  else:
7064  query = And(query, self.ctx)
7065  query = self.abstract(query, False)
7066  r = Z3_fixedpoint_query(self.ctx.ref(), self.fixedpoint, query.as_ast())
7067  return CheckSatResult(r)
7068 
def And(*args)
Definition: z3py.py:1684
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 7069 of file z3py.py.

7069  def query_from_lvl (self, lvl, *query):
7070  """Query the fixedpoint engine whether formula is derivable starting at the given query level.
7071  """
7072  query = _get_args(query)
7073  sz = len(query)
7074  if sz >= 1 and isinstance(query[0], FuncDecl):
7075  _z3_assert (False, "unsupported")
7076  else:
7077  if sz == 1:
7078  query = query[0]
7079  else:
7080  query = And(query)
7081  query = self.abstract(query, False)
7082  r = Z3_fixedpoint_query_from_lvl (self.ctx.ref(), self.fixedpoint, query.as_ast(), lvl)
7083  return CheckSatResult(r)
7084 
def And(*args)
Definition: z3py.py:1684

◆ reason_unknown()

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

Definition at line 7183 of file z3py.py.

7183  def reason_unknown(self):
7184  """Return a string describing why the last `query()` returned `unknown`.
7185  """
7186  return Z3_fixedpoint_get_reason_unknown(self.ctx.ref(), self.fixedpoint)
7187 
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 7129 of file z3py.py.

7129  def register_relation(self, *relations):
7130  """Register relation as recursive"""
7131  relations = _get_args(relations)
7132  for f in relations:
7133  Z3_fixedpoint_register_relation(self.ctx.ref(), self.fixedpoint, f.ast)
7134 
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 7039 of file z3py.py.

7039  def rule(self, head, body = None, name = None):
7040  """Assert rules defining recursive predicates to the fixedpoint solver. Alias for add_rule."""
7041  self.add_rule(head, body, name)
7042 

◆ set()

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

Definition at line 6972 of file z3py.py.

6972  def set(self, *args, **keys):
6973  """Set a configuration option. The method `help()` return a string containing all available options.
6974  """
6975  p = args2params(args, keys, self.ctx)
6976  Z3_fixedpoint_set_params(self.ctx.ref(), self.fixedpoint, p.params)
6977 
def args2params(arguments, keywords, ctx=None)
Definition: z3py.py:5074
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 7135 of file z3py.py.

7135  def set_predicate_representation(self, f, *representations):
7136  """Control how relation is represented"""
7137  representations = _get_args(representations)
7138  representations = [to_symbol(s) for s in representations]
7139  sz = len(representations)
7140  args = (Symbol * sz)()
7141  for i in range(sz):
7142  args[i] = representations[i]
7143  Z3_fixedpoint_set_predicate_representation(self.ctx.ref(), self.fixedpoint, f.ast, sz, args)
7144 
expr range(expr const &lo, expr const &hi)
Definition: z3++.h:3370
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 7165 of file z3py.py.

7165  def sexpr(self):
7166  """Return a formatted string (in Lisp-like format) with all added constraints. We say the string is in s-expression format.
7167  """
7168  return Z3_fixedpoint_to_string(self.ctx.ref(), self.fixedpoint, 0, (Ast * 0)())
7169 
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 7178 of file z3py.py.

7178  def statistics(self):
7179  """Return statistics for the last `query()`.
7180  """
7181  return Statistics(Z3_fixedpoint_get_statistics(self.ctx.ref(), self.fixedpoint), self.ctx)
7182 
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 7170 of file z3py.py.

7170  def to_string(self, queries):
7171  """Return a formatted string (in Lisp-like format) with all added constraints.
7172  We say the string is in s-expression format.
7173  Include also queries.
7174  """
7175  args, len = _to_ast_array(queries)
7176  return Z3_fixedpoint_to_string(self.ctx.ref(), self.fixedpoint, len, args)
7177 
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 7085 of file z3py.py.

7085  def update_rule(self, head, body, name):
7086  """update rule"""
7087  if name is None:
7088  name = ""
7089  name = to_symbol(name, self.ctx)
7090  body = _get_args(body)
7091  f = self.abstract(Implies(And(body, self.ctx),head))
7092  Z3_fixedpoint_update_rule(self.ctx.ref(), self.fixedpoint, f.as_ast(), name)
7093 
def to_symbol(s, ctx=None)
Definition: z3py.py:111
def And(*args)
Definition: z3py.py:1684
def Implies(a, b, ctx=None)
Definition: z3py.py:1623
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 6956 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 6963 of file z3py.py.

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