AstRef Class Reference

Inheritance diagram for AstRef:

Public Member Functions
def	__init__ (self, ast, ctx=None)
def	__del__ (self)
def	__deepcopy__ (self, memo={})
def	__str__ (self)
def	__repr__ (self)
def	__eq__ (self, other)
def	__hash__ (self)
def	__nonzero__ (self)
def	__bool__ (self)
def	sexpr (self)
def	as_ast (self)
def	get_id (self)
def	ctx_ref (self)
def	eq (self, other)
def	translate (self, target)
def	__copy__ (self)
def	hash (self)
Public Member Functions inherited from Z3PPObject
def	use_pp (self)

Data Fields
	ast
	ctx

Detailed Description

AST are Direct Acyclic Graphs (DAGs) used to represent sorts, declarations and expressions.

Definition at line 342 of file z3py.py.

Constructor & Destructor Documentation

__init__()

def __init__	(		self,
			ast,
			ctx = None
	)

Definition at line 345 of file z3py.py.

    def __init__(self, ast, ctx=None):
        self.ast = ast
        self.ctx = _get_ctx(ctx)
        Z3_inc_ref(self.ctx.ref(), self.as_ast())
 

__del__()

def __del__

(

self

)

Definition at line 350 of file z3py.py.

    def __del__(self):
        if self.ctx.ref() is not None and self.ast is not None and Z3_dec_ref is not None:
            Z3_dec_ref(self.ctx.ref(), self.as_ast())
            self.ast = None
 

Member Function Documentation

__bool__()

def __bool__

(

self

)

Definition at line 373 of file z3py.py.

    def __bool__(self):
        if is_true(self):
            return True
        elif is_false(self):
            return False
        elif is_eq(self) and self.num_args() == 2:
            return self.arg(0).eq(self.arg(1))
        else:
            raise Z3Exception("Symbolic expressions cannot be cast to concrete Boolean values.")
 

Referenced by AstRef.__nonzero__().

__copy__()

def __copy__

(

self

)

Definition at line 437 of file z3py.py.

    def __copy__(self):
        return self.translate(self.ctx)
 

__deepcopy__()

def __deepcopy__	(		self,
			memo = {}
	)

Definition at line 355 of file z3py.py.

    def __deepcopy__(self, memo={}):
        return _to_ast_ref(self.ast, self.ctx)
 

__eq__()

def __eq__	(		self,
			other
	)

Reimplemented in ExprRef, and SortRef.

Definition at line 364 of file z3py.py.

    def __eq__(self, other):
        return self.eq(other)
 

Referenced by CheckSatResult.__ne__(), and Probe.__ne__().

__hash__()

def __hash__

(

self

)

Reimplemented in ExprRef, and SortRef.

Definition at line 367 of file z3py.py.

    def __hash__(self):
        return self.hash()
 

__nonzero__()

def __nonzero__

(

self

)

Definition at line 370 of file z3py.py.

    def __nonzero__(self):
        return self.__bool__()
 

__repr__()

def __repr__

(

self

)

Definition at line 361 of file z3py.py.

    def __repr__(self):
        return obj_to_string(self)
 

__str__()

def __str__

(

self

)

Definition at line 358 of file z3py.py.

    def __str__(self):
        return obj_to_string(self)
 

as_ast()

def as_ast

(

self

)

Return a pointer to the corresponding C Z3_ast object.

Reimplemented in QuantifierRef, PatternRef, ExprRef, FuncDeclRef, and SortRef.

Definition at line 392 of file z3py.py.

    def as_ast(self):
        """Return a pointer to the corresponding C Z3_ast object."""
        return self.ast
 

Referenced by AstRef.__del__(), SeqRef.__ge__(), SeqRef.__getitem__(), SeqRef.__gt__(), BitVecRef.__invert__(), SeqRef.__le__(), CharRef.__le__(), SeqRef.__lt__(), ArithRef.__neg__(), BitVecRef.__neg__(), AlgebraicNumRef.approx(), ExprRef.arg(), IntNumRef.as_binary_string(), BitVecNumRef.as_binary_string(), RatNumRef.as_decimal(), AlgebraicNumRef.as_decimal(), IntNumRef.as_string(), RatNumRef.as_string(), BitVecNumRef.as_string(), FiniteDomainRef.as_string(), FiniteDomainNumRef.as_string(), FPRef.as_string(), FPRMRef.as_string(), FPNumRef.as_string(), SeqRef.as_string(), SeqRef.at(), ExprRef.decl(), ArrayRef.default(), RatNumRef.denominator(), AstRef.eq(), FPNumRef.exponent(), FPNumRef.exponent_as_bv(), FPNumRef.exponent_as_long(), AstRef.get_id(), SortRef.get_id(), FuncDeclRef.get_id(), ExprRef.get_id(), PatternRef.get_id(), QuantifierRef.get_id(), AstRef.hash(), AlgebraicNumRef.index(), CharRef.is_digit(), SeqRef.is_string(), SeqRef.is_string_value(), FPNumRef.isInf(), FPNumRef.isNaN(), FPNumRef.isNegative(), FPNumRef.isNormal(), FPNumRef.isPositive(), FPNumRef.isSubnormal(), FPNumRef.isZero(), ExprRef.num_args(), RatNumRef.numerator(), AlgebraicNumRef.poly(), AstRef.sexpr(), FPNumRef.sign(), FPNumRef.sign_as_bv(), FPNumRef.significand(), FPNumRef.significand_as_bv(), FPNumRef.significand_as_long(), ExprRef.sort(), BoolRef.sort(), QuantifierRef.sort(), ArithRef.sort(), BitVecRef.sort(), ArrayRef.sort(), DatatypeRef.sort(), FiniteDomainRef.sort(), FPRef.sort(), SeqRef.sort(), CharRef.to_bv(), CharRef.to_int(), and AstRef.translate().

ctx_ref()

def ctx_ref

(

self

)

Return a reference to the C context where this AST node is stored.

Definition at line 400 of file z3py.py.

    def ctx_ref(self):
        """Return a reference to the C context where this AST node is stored."""
        return self.ctx.ref()
 

Referenced by BitVecRef.__add__(), BitVecRef.__and__(), FuncDeclRef.__call__(), ArithRef.__div__(), BitVecRef.__div__(), SortRef.__eq__(), ExprRef.__eq__(), ArithRef.__ge__(), BitVecRef.__ge__(), SeqRef.__ge__(), SeqRef.__getitem__(), ArithRef.__gt__(), BitVecRef.__gt__(), SeqRef.__gt__(), BitVecRef.__invert__(), ArithRef.__le__(), BitVecRef.__le__(), SeqRef.__le__(), CharRef.__le__(), BitVecRef.__lshift__(), ArithRef.__lt__(), BitVecRef.__lt__(), SeqRef.__lt__(), ArithRef.__mod__(), BitVecRef.__mod__(), BitVecRef.__mul__(), SortRef.__ne__(), ExprRef.__ne__(), ArithRef.__neg__(), BitVecRef.__neg__(), BitVecRef.__or__(), ArithRef.__pow__(), BitVecRef.__radd__(), BitVecRef.__rand__(), ArithRef.__rdiv__(), BitVecRef.__rdiv__(), BitVecRef.__rlshift__(), ArithRef.__rmod__(), BitVecRef.__rmod__(), BitVecRef.__rmul__(), BitVecRef.__ror__(), ArithRef.__rpow__(), BitVecRef.__rrshift__(), BitVecRef.__rshift__(), BitVecRef.__rsub__(), BitVecRef.__rxor__(), BitVecRef.__sub__(), BitVecRef.__xor__(), DatatypeSortRef.accessor(), UserPropagateBase.add(), UserPropagateBase.add_created(), UserPropagateBase.add_decide(), UserPropagateBase.add_diseq(), UserPropagateBase.add_eq(), UserPropagateBase.add_final(), UserPropagateBase.add_fixed(), AlgebraicNumRef.approx(), ExprRef.arg(), FuncDeclRef.arity(), SortRef.as_ast(), FuncDeclRef.as_ast(), PatternRef.as_ast(), IntNumRef.as_binary_string(), BitVecNumRef.as_binary_string(), RatNumRef.as_decimal(), AlgebraicNumRef.as_decimal(), IntNumRef.as_string(), RatNumRef.as_string(), BitVecNumRef.as_string(), FiniteDomainRef.as_string(), FiniteDomainNumRef.as_string(), FPRef.as_string(), FPRMRef.as_string(), SeqRef.as_string(), SeqRef.at(), SeqSortRef.basis(), ReSortRef.basis(), QuantifierRef.body(), DatatypeSortRef.constructor(), ExprRef.decl(), ArrayRef.default(), RatNumRef.denominator(), ArraySortRef.domain(), FuncDeclRef.domain(), ArraySortRef.domain_n(), FPSortRef.ebits(), AstRef.eq(), AstRef.get_id(), SortRef.get_id(), FuncDeclRef.get_id(), ExprRef.get_id(), PatternRef.get_id(), QuantifierRef.get_id(), AstRef.hash(), AlgebraicNumRef.index(), CharRef.is_digit(), QuantifierRef.is_exists(), QuantifierRef.is_forall(), QuantifierRef.is_lambda(), SeqSortRef.is_string(), SeqRef.is_string(), SeqRef.is_string_value(), FuncDeclRef.kind(), SortRef.name(), FuncDeclRef.name(), UserPropagateBase.next_split(), QuantifierRef.no_pattern(), ExprRef.num_args(), DatatypeSortRef.num_constructors(), QuantifierRef.num_no_patterns(), QuantifierRef.num_patterns(), QuantifierRef.num_vars(), RatNumRef.numerator(), FuncDeclRef.params(), QuantifierRef.pattern(), AlgebraicNumRef.poly(), QuantifierRef.qid(), FuncDeclRef.range(), ArraySortRef.range(), DatatypeSortRef.recognizer(), FPSortRef.sbits(), AstRef.sexpr(), BitVecSortRef.size(), FiniteDomainSortRef.size(), QuantifierRef.skolem_id(), BoolRef.sort(), ArithRef.sort(), BitVecRef.sort(), ArrayRef.sort(), DatatypeRef.sort(), FiniteDomainRef.sort(), FPRef.sort(), SeqRef.sort(), CharRef.to_bv(), CharRef.to_int(), QuantifierRef.var_name(), QuantifierRef.var_sort(), and QuantifierRef.weight().

eq()

def eq	(		self,
			other
	)

Return `True` if `self` and `other` are structurally identical.

>>> x = Int('x')
>>> n1 = x + 1
>>> n2 = 1 + x
>>> n1.eq(n2)
False
>>> n1 = simplify(n1)
>>> n2 = simplify(n2)
>>> n1.eq(n2)
True

Definition at line 404 of file z3py.py.

    def eq(self, other):
        """Return `True` if `self` and `other` are structurally identical.
 
        >>> x = Int('x')
        >>> n1 = x + 1
        >>> n2 = 1 + x
        >>> n1.eq(n2)
        False
        >>> n1 = simplify(n1)
        >>> n2 = simplify(n2)
        >>> n1.eq(n2)
        True
        """
        if z3_debug():
            _z3_assert(is_ast(other), "Z3 AST expected")
        return Z3_is_eq_ast(self.ctx_ref(), self.as_ast(), other.as_ast())
 

Referenced by AstRef.__bool__(), AstRef.__eq__(), UserPropagateBase.add_eq(), SortRef.cast(), and BoolSortRef.cast().

get_id()

def get_id

(

self

)

Return unique identifier for object. It can be used for hash-tables and maps.

Reimplemented in QuantifierRef, PatternRef, ExprRef, FuncDeclRef, and SortRef.

Definition at line 396 of file z3py.py.

    def get_id(self):
        """Return unique identifier for object. It can be used for hash-tables and maps."""
        return Z3_get_ast_id(self.ctx_ref(), self.as_ast())
 

hash()

def hash

(

self

)

Return a hashcode for the `self`.

>>> n1 = simplify(Int('x') + 1)
>>> n2 = simplify(2 + Int('x') - 1)
>>> n1.hash() == n2.hash()
True

Definition at line 440 of file z3py.py.

    def hash(self):
        """Return a hashcode for the `self`.
 
        >>> n1 = simplify(Int('x') + 1)
        >>> n2 = simplify(2 + Int('x') - 1)
        >>> n1.hash() == n2.hash()
        True
        """
        return Z3_get_ast_hash(self.ctx_ref(), self.as_ast())
 
 

Referenced by AstRef.__hash__().

sexpr()

def sexpr

(

self

)

Return a string representing the AST node in s-expression notation.

>>> x = Int('x')
>>> ((x + 1)*x).sexpr()
'(* (+ x 1) x)'

Definition at line 383 of file z3py.py.

    def sexpr(self):
        """Return a string representing the AST node in s-expression notation.
 
        >>> x = Int('x')
        >>> ((x + 1)*x).sexpr()
        '(* (+ x 1) x)'
        """
        return Z3_ast_to_string(self.ctx_ref(), self.as_ast())
 

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

translate()

def translate	(		self,
			target
	)

Translate `self` to the context `target`. That is, return a copy of `self` in the context `target`.

>>> c1 = Context()
>>> c2 = Context()
>>> x  = Int('x', c1)
>>> y  = Int('y', c2)
>>> # Nodes in different contexts can't be mixed.
>>> # However, we can translate nodes from one context to another.
>>> x.translate(c2) + y
x + y

Definition at line 421 of file z3py.py.

    def translate(self, target):
        """Translate `self` to the context `target`. That is, return a copy of `self` in the context `target`.
 
        >>> c1 = Context()
        >>> c2 = Context()
        >>> x  = Int('x', c1)
        >>> y  = Int('y', c2)
        >>> # Nodes in different contexts can't be mixed.
        >>> # However, we can translate nodes from one context to another.
        >>> x.translate(c2) + y
        x + y
        """
        if z3_debug():
            _z3_assert(isinstance(target, Context), "argument must be a Z3 context")
        return _to_ast_ref(Z3_translate(self.ctx.ref(), self.as_ast(), target.ref()), target)
 

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

Field Documentation

ast

ast

Definition at line 346 of file z3py.py.

Referenced by FuncDeclRef.__call__(), AstRef.__deepcopy__(), AstRef.__del__(), SortRef.__eq__(), SortRef.__ne__(), DatatypeSortRef.accessor(), FuncDeclRef.arity(), AstRef.as_ast(), SortRef.as_ast(), FuncDeclRef.as_ast(), ExprRef.as_ast(), PatternRef.as_ast(), QuantifierRef.as_ast(), FuncDeclRef.as_func_decl(), SeqSortRef.basis(), ReSortRef.basis(), QuantifierRef.body(), DatatypeSortRef.constructor(), ArraySortRef.domain(), FuncDeclRef.domain(), ArraySortRef.domain_n(), FPSortRef.ebits(), QuantifierRef.is_exists(), QuantifierRef.is_forall(), QuantifierRef.is_lambda(), SeqSortRef.is_string(), SortRef.kind(), FuncDeclRef.kind(), SortRef.name(), FuncDeclRef.name(), QuantifierRef.no_pattern(), DatatypeSortRef.num_constructors(), QuantifierRef.num_no_patterns(), QuantifierRef.num_patterns(), QuantifierRef.num_vars(), FuncDeclRef.params(), QuantifierRef.pattern(), QuantifierRef.qid(), FuncDeclRef.range(), ArraySortRef.range(), DatatypeSortRef.recognizer(), FPSortRef.sbits(), BitVecSortRef.size(), FiniteDomainSortRef.size(), QuantifierRef.skolem_id(), QuantifierRef.var_name(), QuantifierRef.var_sort(), and QuantifierRef.weight().

ctx

ctx

Definition at line 347 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__(), Simplifier.__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__(), Simplifier.__del__(), Tactic.__del__(), Probe.__del__(), ParserContext.__del__(), ArithRef.__div__(), BitVecRef.__div__(), FPRef.__div__(), ExprRef.__eq__(), Probe.__eq__(), ArithRef.__ge__(), BitVecRef.__ge__(), Probe.__ge__(), FPRef.__ge__(), SeqRef.__ge__(), 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__(), CharRef.__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__(), BoolRef.__mul__(), 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(), Simplifier.add(), Fixedpoint.add_cover(), ParserContext.add_decl(), Fixedpoint.add_rule(), Optimize.add_soft(), ParserContext.add_sort(), 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(), ArraySortRef.domain_n(), 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(), ParserContext.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(), Simplifier.help(), Tactic.help(), Solver.import_model_converter(), Goal.inconsistent(), Solver.interrupt(), CharRef.is_digit(), 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(), Solver.next(), 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(), Simplifier.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(), QuantifierRef.qid(), 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.root(), Solver.set(), Fixedpoint.set(), Optimize.set(), ParamsRef.set(), Solver.set_initial_value(), Optimize.set_initial_value(), 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(), QuantifierRef.skolem_id(), 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(), CharRef.to_bv(), CharRef.to_int(), 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(), Simplifier.using_params(), ParamsRef.validate(), FuncEntry.value(), QuantifierRef.var_name(), and QuantifierRef.var_sort().