Z3
Public Member Functions | Data Fields
Goal Class Reference
+ Inheritance diagram for Goal:

Public Member Functions

def __init__
 
def __del__ (self)
 
def depth (self)
 
def inconsistent (self)
 
def prec (self)
 
def precision (self)
 
def size (self)
 
def __len__ (self)
 
def get (self, i)
 
def __getitem__ (self, arg)
 
def assert_exprs (self, args)
 
def append (self, args)
 
def insert (self, args)
 
def add (self, args)
 
def convert_model (self, model)
 
def __repr__ (self)
 
def sexpr (self)
 
def dimacs
 
def translate (self, target)
 
def __copy__ (self)
 
def __deepcopy__
 
def simplify (self, arguments, keywords)
 
def as_expr (self)
 
- Public Member Functions inherited from Z3PPObject
def use_pp (self)
 

Data Fields

 ctx
 
 goal
 

Detailed Description

Goal is a collection of constraints we want to find a solution or show to be unsatisfiable (infeasible).

Goals are processed using Tactics. A Tactic transforms a goal into a set of subgoals.
A goal has a solution if one of its subgoals has a solution.
A goal is unsatisfiable if all subgoals are unsatisfiable.

Definition at line 5539 of file z3py.py.

Constructor & Destructor Documentation

def __init__ (   self,
  models = True,
  unsat_cores = False,
  proofs = False,
  ctx = None,
  goal = None 
)

Definition at line 5547 of file z3py.py.

5547  def __init__(self, models=True, unsat_cores=False, proofs=False, ctx=None, goal=None):
5548  if z3_debug():
5549  _z3_assert(goal is None or ctx is not None,
5550  "If goal is different from None, then ctx must be also different from None")
5551  self.ctx = _get_ctx(ctx)
5552  self.goal = goal
5553  if self.goal is None:
5554  self.goal = Z3_mk_goal(self.ctx.ref(), models, unsat_cores, proofs)
5555  Z3_goal_inc_ref(self.ctx.ref(), self.goal)
5556 
Z3_goal Z3_API Z3_mk_goal(Z3_context c, bool models, bool unsat_cores, bool proofs)
Create a goal (aka problem). A goal is essentially a set of formulas, that can be solved and/or trans...
def z3_debug()
Definition: z3py.py:62
void Z3_API Z3_goal_inc_ref(Z3_context c, Z3_goal g)
Increment the reference counter of the given goal.
def __init__
Definition: z3py.py:5547
def __del__ (   self)

Definition at line 5557 of file z3py.py.

5557  def __del__(self):
5558  if self.goal is not None and self.ctx.ref() is not None and Z3_goal_dec_ref is not None:
5559  Z3_goal_dec_ref(self.ctx.ref(), self.goal)
5560 
def __del__(self)
Definition: z3py.py:5557
void Z3_API Z3_goal_dec_ref(Z3_context c, Z3_goal g)
Decrement the reference counter of the given goal.

Member Function Documentation

def __copy__ (   self)

Definition at line 5792 of file z3py.py.

5792  def __copy__(self):
5793  return self.translate(self.ctx)
5794 
def translate(self, target)
Definition: z3py.py:5769
def __copy__(self)
Definition: z3py.py:5792
def __deepcopy__ (   self,
  memo = {} 
)

Definition at line 5795 of file z3py.py.

5795  def __deepcopy__(self, memo={}):
5796  return self.translate(self.ctx)
5797 
def translate(self, target)
Definition: z3py.py:5769
def __deepcopy__
Definition: z3py.py:5795
def __getitem__ (   self,
  arg 
)
Return a constraint in the goal `self`.

>>> g = Goal()
>>> x, y = Ints('x y')
>>> g.add(x == 0, y > x)
>>> g[0]
x == 0
>>> g[1]
y > x

Definition at line 5666 of file z3py.py.

5666  def __getitem__(self, arg):
5667  """Return a constraint in the goal `self`.
5668 
5669  >>> g = Goal()
5670  >>> x, y = Ints('x y')
5671  >>> g.add(x == 0, y > x)
5672  >>> g[0]
5673  x == 0
5674  >>> g[1]
5675  y > x
5676  """
5677  if arg >= len(self):
5678  raise IndexError
5679  return self.get(arg)
5680 
def get(self, i)
Definition: z3py.py:5653
def __getitem__(self, arg)
Definition: z3py.py:5666
def __len__ (   self)
Return the number of constraints in the goal `self`.

>>> g = Goal()
>>> len(g)
0
>>> x, y = Ints('x y')
>>> g.add(x == 0, y > x)
>>> len(g)
2

Definition at line 5640 of file z3py.py.

Referenced by AstVector.__getitem__(), and AstVector.__setitem__().

5640  def __len__(self):
5641  """Return the number of constraints in the goal `self`.
5642 
5643  >>> g = Goal()
5644  >>> len(g)
5645  0
5646  >>> x, y = Ints('x y')
5647  >>> g.add(x == 0, y > x)
5648  >>> len(g)
5649  2
5650  """
5651  return self.size()
5652 
def size(self)
Definition: z3py.py:5627
def __len__(self)
Definition: z3py.py:5640
def __repr__ (   self)

Definition at line 5758 of file z3py.py.

5758  def __repr__(self):
5759  return obj_to_string(self)
5760 
def __repr__(self)
Definition: z3py.py:5758
def add (   self,
  args 
)
Add constraints.

>>> x = Int('x')
>>> g = Goal()
>>> g.add(x > 0, x < 2)
>>> g
[x > 0, x < 2]

Definition at line 5718 of file z3py.py.

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

5718  def add(self, *args):
5719  """Add constraints.
5720 
5721  >>> x = Int('x')
5722  >>> g = Goal()
5723  >>> g.add(x > 0, x < 2)
5724  >>> g
5725  [x > 0, x < 2]
5726  """
5727  self.assert_exprs(*args)
5728 
def add(self, args)
Definition: z3py.py:5718
def assert_exprs(self, args)
Definition: z3py.py:5681
def append (   self,
  args 
)
Add constraints.

>>> x = Int('x')
>>> g = Goal()
>>> g.append(x > 0, x < 2)
>>> g
[x > 0, x < 2]

Definition at line 5696 of file z3py.py.

5696  def append(self, *args):
5697  """Add constraints.
5698 
5699  >>> x = Int('x')
5700  >>> g = Goal()
5701  >>> g.append(x > 0, x < 2)
5702  >>> g
5703  [x > 0, x < 2]
5704  """
5705  self.assert_exprs(*args)
5706 
def append(self, args)
Definition: z3py.py:5696
def assert_exprs(self, args)
Definition: z3py.py:5681
def as_expr (   self)
Return goal `self` as a single Z3 expression.

>>> x = Int('x')
>>> g = Goal()
>>> g.as_expr()
True
>>> g.add(x > 1)
>>> g.as_expr()
x > 1
>>> g.add(x < 10)
>>> g.as_expr()
And(x > 1, x < 10)

Definition at line 5818 of file z3py.py.

5818  def as_expr(self):
5819  """Return goal `self` as a single Z3 expression.
5820 
5821  >>> x = Int('x')
5822  >>> g = Goal()
5823  >>> g.as_expr()
5824  True
5825  >>> g.add(x > 1)
5826  >>> g.as_expr()
5827  x > 1
5828  >>> g.add(x < 10)
5829  >>> g.as_expr()
5830  And(x > 1, x < 10)
5831  """
5832  sz = len(self)
5833  if sz == 0:
5834  return BoolVal(True, self.ctx)
5835  elif sz == 1:
5836  return self.get(0)
5837  else:
5838  return And([self.get(i) for i in range(len(self))], self.ctx)
5839 
def BoolVal
Definition: z3py.py:1705
expr range(expr const &lo, expr const &hi)
Definition: z3++.h:4085
def And(args)
Definition: z3py.py:1845
def get(self, i)
Definition: z3py.py:5653
def as_expr(self)
Definition: z3py.py:5818
def assert_exprs (   self,
  args 
)
Assert constraints into the goal.

>>> x = Int('x')
>>> g = Goal()
>>> g.assert_exprs(x > 0, x < 2)
>>> g
[x > 0, x < 2]

Definition at line 5681 of file z3py.py.

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

5681  def assert_exprs(self, *args):
5682  """Assert constraints into the goal.
5683 
5684  >>> x = Int('x')
5685  >>> g = Goal()
5686  >>> g.assert_exprs(x > 0, x < 2)
5687  >>> g
5688  [x > 0, x < 2]
5689  """
5690  args = _get_args(args)
5691  s = BoolSort(self.ctx)
5692  for arg in args:
5693  arg = s.cast(arg)
5694  Z3_goal_assert(self.ctx.ref(), self.goal, arg.as_ast())
5695 
def BoolSort
Definition: z3py.py:1687
def assert_exprs(self, args)
Definition: z3py.py:5681
void Z3_API Z3_goal_assert(Z3_context c, Z3_goal g, Z3_ast a)
Add a new formula a to the given goal. The formula is split according to the following procedure that...
def convert_model (   self,
  model 
)
Retrieve model from a satisfiable goal
>>> a, b = Ints('a b')
>>> g = Goal()
>>> g.add(Or(a == 0, a == 1), Or(b == 0, b == 1), a > b)
>>> t = Then(Tactic('split-clause'), Tactic('solve-eqs'))
>>> r = t(g)
>>> r[0]
[Or(b == 0, b == 1), Not(0 <= b)]
>>> r[1]
[Or(b == 0, b == 1), Not(1 <= b)]
>>> # Remark: the subgoal r[0] is unsatisfiable
>>> # Creating a solver for solving the second subgoal
>>> s = Solver()
>>> s.add(r[1])
>>> s.check()
sat
>>> s.model()
[b = 0]
>>> # Model s.model() does not assign a value to `a`
>>> # It is a model for subgoal `r[1]`, but not for goal `g`
>>> # The method convert_model creates a model for `g` from a model for `r[1]`.
>>> r[1].convert_model(s.model())
[b = 0, a = 1]

Definition at line 5729 of file z3py.py.

5729  def convert_model(self, model):
5730  """Retrieve model from a satisfiable goal
5731  >>> a, b = Ints('a b')
5732  >>> g = Goal()
5733  >>> g.add(Or(a == 0, a == 1), Or(b == 0, b == 1), a > b)
5734  >>> t = Then(Tactic('split-clause'), Tactic('solve-eqs'))
5735  >>> r = t(g)
5736  >>> r[0]
5737  [Or(b == 0, b == 1), Not(0 <= b)]
5738  >>> r[1]
5739  [Or(b == 0, b == 1), Not(1 <= b)]
5740  >>> # Remark: the subgoal r[0] is unsatisfiable
5741  >>> # Creating a solver for solving the second subgoal
5742  >>> s = Solver()
5743  >>> s.add(r[1])
5744  >>> s.check()
5745  sat
5746  >>> s.model()
5747  [b = 0]
5748  >>> # Model s.model() does not assign a value to `a`
5749  >>> # It is a model for subgoal `r[1]`, but not for goal `g`
5750  >>> # The method convert_model creates a model for `g` from a model for `r[1]`.
5751  >>> r[1].convert_model(s.model())
5752  [b = 0, a = 1]
5753  """
5754  if z3_debug():
5755  _z3_assert(isinstance(model, ModelRef), "Z3 Model expected")
5756  return ModelRef(Z3_goal_convert_model(self.ctx.ref(), self.goal, model.model), self.ctx)
5757 
Z3_model Z3_API Z3_goal_convert_model(Z3_context c, Z3_goal g, Z3_model m)
Convert a model of the formulas of a goal to a model of an original goal. The model may be null...
def convert_model(self, model)
Definition: z3py.py:5729
def z3_debug()
Definition: z3py.py:62
def depth (   self)
Return the depth of the goal `self`.
The depth corresponds to the number of tactics applied to `self`.

>>> x, y = Ints('x y')
>>> g = Goal()
>>> g.add(x == 0, y >= x + 1)
>>> g.depth()
0
>>> r = Then('simplify', 'solve-eqs')(g)
>>> # r has 1 subgoal
>>> len(r)
1
>>> r[0].depth()
2

Definition at line 5561 of file z3py.py.

5561  def depth(self):
5562  """Return the depth of the goal `self`.
5563  The depth corresponds to the number of tactics applied to `self`.
5564 
5565  >>> x, y = Ints('x y')
5566  >>> g = Goal()
5567  >>> g.add(x == 0, y >= x + 1)
5568  >>> g.depth()
5569  0
5570  >>> r = Then('simplify', 'solve-eqs')(g)
5571  >>> # r has 1 subgoal
5572  >>> len(r)
5573  1
5574  >>> r[0].depth()
5575  2
5576  """
5577  return int(Z3_goal_depth(self.ctx.ref(), self.goal))
5578 
unsigned Z3_API Z3_goal_depth(Z3_context c, Z3_goal g)
Return the depth of the given goal. It tracks how many transformations were applied to it...
def depth(self)
Definition: z3py.py:5561
def dimacs (   self,
  include_names = True 
)
Return a textual representation of the goal in DIMACS format.

Definition at line 5765 of file z3py.py.

5765  def dimacs(self, include_names=True):
5766  """Return a textual representation of the goal in DIMACS format."""
5767  return Z3_goal_to_dimacs_string(self.ctx.ref(), self.goal, include_names)
5768 
Z3_string Z3_API Z3_goal_to_dimacs_string(Z3_context c, Z3_goal g, bool include_names)
Convert a goal into a DIMACS formatted string. The goal must be in CNF. You can convert a goal to CNF...
def dimacs
Definition: z3py.py:5765
def get (   self,
  i 
)
Return a constraint in the goal `self`.

>>> g = Goal()
>>> x, y = Ints('x y')
>>> g.add(x == 0, y > x)
>>> g.get(0)
x == 0
>>> g.get(1)
y > x

Definition at line 5653 of file z3py.py.

Referenced by Goal.__getitem__(), and Goal.as_expr().

5653  def get(self, i):
5654  """Return a constraint in the goal `self`.
5655 
5656  >>> g = Goal()
5657  >>> x, y = Ints('x y')
5658  >>> g.add(x == 0, y > x)
5659  >>> g.get(0)
5660  x == 0
5661  >>> g.get(1)
5662  y > x
5663  """
5664  return _to_expr_ref(Z3_goal_formula(self.ctx.ref(), self.goal, i), self.ctx)
5665 
def get(self, i)
Definition: z3py.py:5653
Z3_ast Z3_API Z3_goal_formula(Z3_context c, Z3_goal g, unsigned idx)
Return a formula from the given goal.
def inconsistent (   self)
Return `True` if `self` contains the `False` constraints.

>>> x, y = Ints('x y')
>>> g = Goal()
>>> g.inconsistent()
False
>>> g.add(x == 0, x == 1)
>>> g
[x == 0, x == 1]
>>> g.inconsistent()
False
>>> g2 = Tactic('propagate-values')(g)[0]
>>> g2.inconsistent()
True

Definition at line 5579 of file z3py.py.

5579  def inconsistent(self):
5580  """Return `True` if `self` contains the `False` constraints.
5581 
5582  >>> x, y = Ints('x y')
5583  >>> g = Goal()
5584  >>> g.inconsistent()
5585  False
5586  >>> g.add(x == 0, x == 1)
5587  >>> g
5588  [x == 0, x == 1]
5589  >>> g.inconsistent()
5590  False
5591  >>> g2 = Tactic('propagate-values')(g)[0]
5592  >>> g2.inconsistent()
5593  True
5594  """
5595  return Z3_goal_inconsistent(self.ctx.ref(), self.goal)
5596 
bool Z3_API Z3_goal_inconsistent(Z3_context c, Z3_goal g)
Return true if the given goal contains the formula false.
def inconsistent(self)
Definition: z3py.py:5579
def insert (   self,
  args 
)
Add constraints.

>>> x = Int('x')
>>> g = Goal()
>>> g.insert(x > 0, x < 2)
>>> g
[x > 0, x < 2]

Definition at line 5707 of file z3py.py.

5707  def insert(self, *args):
5708  """Add constraints.
5709 
5710  >>> x = Int('x')
5711  >>> g = Goal()
5712  >>> g.insert(x > 0, x < 2)
5713  >>> g
5714  [x > 0, x < 2]
5715  """
5716  self.assert_exprs(*args)
5717 
def insert(self, args)
Definition: z3py.py:5707
def assert_exprs(self, args)
Definition: z3py.py:5681
def prec (   self)
Return the precision (under-approximation, over-approximation, or precise) of the goal `self`.

>>> g = Goal()
>>> g.prec() == Z3_GOAL_PRECISE
True
>>> x, y = Ints('x y')
>>> g.add(x == y + 1)
>>> g.prec() == Z3_GOAL_PRECISE
True
>>> t  = With(Tactic('add-bounds'), add_bound_lower=0, add_bound_upper=10)
>>> g2 = t(g)[0]
>>> g2
[x == y + 1, x <= 10, x >= 0, y <= 10, y >= 0]
>>> g2.prec() == Z3_GOAL_PRECISE
False
>>> g2.prec() == Z3_GOAL_UNDER
True

Definition at line 5597 of file z3py.py.

Referenced by Goal.precision().

5597  def prec(self):
5598  """Return the precision (under-approximation, over-approximation, or precise) of the goal `self`.
5599 
5600  >>> g = Goal()
5601  >>> g.prec() == Z3_GOAL_PRECISE
5602  True
5603  >>> x, y = Ints('x y')
5604  >>> g.add(x == y + 1)
5605  >>> g.prec() == Z3_GOAL_PRECISE
5606  True
5607  >>> t = With(Tactic('add-bounds'), add_bound_lower=0, add_bound_upper=10)
5608  >>> g2 = t(g)[0]
5609  >>> g2
5610  [x == y + 1, x <= 10, x >= 0, y <= 10, y >= 0]
5611  >>> g2.prec() == Z3_GOAL_PRECISE
5612  False
5613  >>> g2.prec() == Z3_GOAL_UNDER
5614  True
5615  """
5616  return Z3_goal_precision(self.ctx.ref(), self.goal)
5617 
def prec(self)
Definition: z3py.py:5597
Z3_goal_prec Z3_API Z3_goal_precision(Z3_context c, Z3_goal g)
Return the "precision" of the given goal. Goals can be transformed using over and under approximation...
def precision (   self)
Alias for `prec()`.

>>> g = Goal()
>>> g.precision() == Z3_GOAL_PRECISE
True

Definition at line 5618 of file z3py.py.

5618  def precision(self):
5619  """Alias for `prec()`.
5620 
5621  >>> g = Goal()
5622  >>> g.precision() == Z3_GOAL_PRECISE
5623  True
5624  """
5625  return self.prec()
5626 
def prec(self)
Definition: z3py.py:5597
def precision(self)
Definition: z3py.py:5618
def sexpr (   self)
Return a textual representation of the s-expression representing the goal.

Definition at line 5761 of file z3py.py.

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

5761  def sexpr(self):
5762  """Return a textual representation of the s-expression representing the goal."""
5763  return Z3_goal_to_string(self.ctx.ref(), self.goal)
5764 
def sexpr(self)
Definition: z3py.py:5761
Z3_string Z3_API Z3_goal_to_string(Z3_context c, Z3_goal g)
Convert a goal into a string.
def simplify (   self,
  arguments,
  keywords 
)
Return a new simplified goal.

This method is essentially invoking the simplify tactic.

>>> g = Goal()
>>> x = Int('x')
>>> g.add(x + 1 >= 2)
>>> g
[x + 1 >= 2]
>>> g2 = g.simplify()
>>> g2
[x >= 1]
>>> # g was not modified
>>> g
[x + 1 >= 2]

Definition at line 5798 of file z3py.py.

5798  def simplify(self, *arguments, **keywords):
5799  """Return a new simplified goal.
5800 
5801  This method is essentially invoking the simplify tactic.
5802 
5803  >>> g = Goal()
5804  >>> x = Int('x')
5805  >>> g.add(x + 1 >= 2)
5806  >>> g
5807  [x + 1 >= 2]
5808  >>> g2 = g.simplify()
5809  >>> g2
5810  [x >= 1]
5811  >>> # g was not modified
5812  >>> g
5813  [x + 1 >= 2]
5814  """
5815  t = Tactic("simplify")
5816  return t.apply(self, *arguments, **keywords)[0]
5817 
def simplify(self, arguments, keywords)
Definition: z3py.py:5798
def size (   self)
Return the number of constraints in the goal `self`.

>>> g = Goal()
>>> g.size()
0
>>> x, y = Ints('x y')
>>> g.add(x == 0, y > x)
>>> g.size()
2

Definition at line 5627 of file z3py.py.

Referenced by Goal.__len__().

5627  def size(self):
5628  """Return the number of constraints in the goal `self`.
5629 
5630  >>> g = Goal()
5631  >>> g.size()
5632  0
5633  >>> x, y = Ints('x y')
5634  >>> g.add(x == 0, y > x)
5635  >>> g.size()
5636  2
5637  """
5638  return int(Z3_goal_size(self.ctx.ref(), self.goal))
5639 
def size(self)
Definition: z3py.py:5627
unsigned Z3_API Z3_goal_size(Z3_context c, Z3_goal g)
Return the number of formulas in the given goal.
def translate (   self,
  target 
)
Copy goal `self` to context `target`.

>>> x = Int('x')
>>> g = Goal()
>>> g.add(x > 10)
>>> g
[x > 10]
>>> c2 = Context()
>>> g2 = g.translate(c2)
>>> g2
[x > 10]
>>> g.ctx == main_ctx()
True
>>> g2.ctx == c2
True
>>> g2.ctx == main_ctx()
False

Definition at line 5769 of file z3py.py.

Referenced by Goal.__copy__(), AstVector.__copy__(), FuncInterp.__copy__(), Goal.__deepcopy__(), AstVector.__deepcopy__(), and FuncInterp.__deepcopy__().

5769  def translate(self, target):
5770  """Copy goal `self` to context `target`.
5771 
5772  >>> x = Int('x')
5773  >>> g = Goal()
5774  >>> g.add(x > 10)
5775  >>> g
5776  [x > 10]
5777  >>> c2 = Context()
5778  >>> g2 = g.translate(c2)
5779  >>> g2
5780  [x > 10]
5781  >>> g.ctx == main_ctx()
5782  True
5783  >>> g2.ctx == c2
5784  True
5785  >>> g2.ctx == main_ctx()
5786  False
5787  """
5788  if z3_debug():
5789  _z3_assert(isinstance(target, Context), "target must be a context")
5790  return Goal(goal=Z3_goal_translate(self.ctx.ref(), self.goal, target.ref()), ctx=target)
5791 
def translate(self, target)
Definition: z3py.py:5769
Z3_goal Z3_API Z3_goal_translate(Z3_context source, Z3_goal g, Z3_context target)
Copy a goal g from the context source to the context target.
def z3_debug()
Definition: z3py.py:62

Field Documentation

ctx

Definition at line 5551 of file z3py.py.

Referenced by Goal.__copy__(), AstVector.__copy__(), FuncInterp.__copy__(), Goal.__deepcopy__(), AstVector.__deepcopy__(), AstMap.__deepcopy__(), FuncEntry.__deepcopy__(), FuncInterp.__deepcopy__(), Fixedpoint.__deepcopy__(), Optimize.__deepcopy__(), ApplyResult.__deepcopy__(), Simplifier.__deepcopy__(), Tactic.__deepcopy__(), Probe.__deepcopy__(), Probe.__eq__(), Probe.__ge__(), AstVector.__getitem__(), AstMap.__getitem__(), ApplyResult.__getitem__(), Probe.__gt__(), Probe.__le__(), Probe.__lt__(), Probe.__ne__(), Simplifier.add(), Fixedpoint.add_rule(), Optimize.add_soft(), Tactic.apply(), FuncEntry.arg_value(), Goal.as_expr(), ApplyResult.as_expr(), Optimize.assert_and_track(), Goal.assert_exprs(), Fixedpoint.assert_exprs(), Optimize.assert_exprs(), Optimize.assertions(), Goal.convert_model(), FuncInterp.else_value(), FuncInterp.entry(), ParserContext.from_string(), Goal.get(), Fixedpoint.get_answer(), Fixedpoint.get_assertions(), Fixedpoint.get_cover_delta(), Fixedpoint.get_ground_sat_answer(), Fixedpoint.get_rule_names_along_trace(), Fixedpoint.get_rules(), Fixedpoint.get_rules_along_trace(), AstMap.keys(), Optimize.model(), Optimize.objectives(), Fixedpoint.param_descrs(), Optimize.param_descrs(), Simplifier.param_descrs(), Tactic.param_descrs(), Fixedpoint.parse_file(), Fixedpoint.parse_string(), Fixedpoint.query(), Fixedpoint.set(), Optimize.set(), Optimize.set_on_model(), Tactic.solver(), Fixedpoint.statistics(), Optimize.statistics(), Solver.to_smt2(), Optimize.unsat_core(), Fixedpoint.update_rule(), Simplifier.using_params(), and FuncEntry.value().

goal