Quantifiers. More...
Public Member Functions | |
as_ast (self) | |
get_id (self) | |
sort (self) | |
is_forall (self) | |
is_exists (self) | |
is_lambda (self) | |
__getitem__ (self, arg) | |
weight (self) | |
skolem_id (self) | |
qid (self) | |
num_patterns (self) | |
pattern (self, idx) | |
num_no_patterns (self) | |
no_pattern (self, idx) | |
body (self) | |
num_vars (self) | |
var_name (self, idx) | |
var_sort (self, idx) | |
children (self) | |
![]() | |
__add__ (self, other) | |
__radd__ (self, other) | |
__rmul__ (self, other) | |
__mul__ (self, other) | |
__and__ (self, other) | |
__or__ (self, other) | |
__xor__ (self, other) | |
__invert__ (self) | |
![]() | |
sort_kind (self) | |
__eq__ (self, other) | |
__hash__ (self) | |
__ne__ (self, other) | |
params (self) | |
decl (self) | |
num_args (self) | |
arg (self, idx) | |
from_string (self, s) | |
serialize (self) | |
![]() | |
__init__ (self, ast, ctx=None) | |
__del__ (self) | |
__deepcopy__ (self, memo={}) | |
__str__ (self) | |
__repr__ (self) | |
__nonzero__ (self) | |
__bool__ (self) | |
sexpr (self) | |
ctx_ref (self) | |
eq (self, other) | |
translate (self, target) | |
__copy__ (self) | |
hash (self) | |
![]() | |
use_pp (self) | |
Data Fields | |
ctx | |
ast | |
![]() | |
ctx | |
![]() | |
ctx | |
![]() | |
ast = ast | |
ctx = _get_ctx(ctx) | |
Additional Inherited Members | |
![]() | |
_repr_html_ (self) | |
Quantifiers.
Universally and Existentially quantified formulas.
__getitem__ | ( | self, | |
arg ) |
Return the Z3 expression `self[arg]`.
Definition at line 2085 of file z3py.py.
as_ast | ( | self | ) |
Return a pointer to the corresponding C Z3_ast object.
Reimplemented from ExprRef.
Definition at line 2031 of file z3py.py.
Referenced by AstRef.__del__(), BitVecRef.__invert__(), ArithRef.__neg__(), BitVecRef.__neg__(), ExprRef.arg(), BitVecNumRef.as_binary_string(), IntNumRef.as_binary_string(), AlgebraicNumRef.as_decimal(), RatNumRef.as_decimal(), BitVecNumRef.as_string(), IntNumRef.as_string(), RatNumRef.as_string(), ExprRef.decl(), ArrayRef.default(), RatNumRef.denominator(), AstRef.eq(), AstRef.get_id(), ExprRef.get_id(), FuncDeclRef.get_id(), PatternRef.get_id(), QuantifierRef.get_id(), SortRef.get_id(), AstRef.hash(), AlgebraicNumRef.index(), ExprRef.num_args(), AlgebraicNumRef.poly(), AstRef.sexpr(), and AstRef.translate().
body | ( | self | ) |
Return the expression being quantified. >>> f = Function('f', IntSort(), IntSort()) >>> x = Int('x') >>> q = ForAll(x, f(x) == 0) >>> q.body() f(Var(0)) == 0
Definition at line 2156 of file z3py.py.
Referenced by QuantifierRef.children().
children | ( | self | ) |
Return a list containing a single element self.body() >>> f = Function('f', IntSort(), IntSort()) >>> x = Int('x') >>> q = ForAll(x, f(x) == 0) >>> q.children() [f(Var(0)) == 0]
Reimplemented from ExprRef.
Definition at line 2211 of file z3py.py.
get_id | ( | self | ) |
Return unique identifier for object. It can be used for hash-tables and maps.
Reimplemented from ExprRef.
Definition at line 2034 of file z3py.py.
is_exists | ( | self | ) |
Return `True` if `self` is an existential quantifier. >>> f = Function('f', IntSort(), IntSort()) >>> x = Int('x') >>> q = ForAll(x, f(x) == 0) >>> q.is_exists() False >>> q = Exists(x, f(x) != 0) >>> q.is_exists() True
Definition at line 2057 of file z3py.py.
is_forall | ( | self | ) |
Return `True` if `self` is a universal quantifier. >>> f = Function('f', IntSort(), IntSort()) >>> x = Int('x') >>> q = ForAll(x, f(x) == 0) >>> q.is_forall() True >>> q = Exists(x, f(x) != 0) >>> q.is_forall() False
Definition at line 2043 of file z3py.py.
is_lambda | ( | self | ) |
Return `True` if `self` is a lambda expression. >>> f = Function('f', IntSort(), IntSort()) >>> x = Int('x') >>> q = Lambda(x, f(x)) >>> q.is_lambda() True >>> q = Exists(x, f(x) != 0) >>> q.is_lambda() False
Definition at line 2071 of file z3py.py.
Referenced by QuantifierRef.__getitem__(), and QuantifierRef.sort().
no_pattern | ( | self, | |
idx ) |
Return a no-pattern.
Definition at line 2150 of file z3py.py.
num_no_patterns | ( | self | ) |
Return the number of no-patterns.
Definition at line 2146 of file z3py.py.
Referenced by QuantifierRef.no_pattern().
num_patterns | ( | self | ) |
Return the number of patterns (i.e., quantifier instantiation hints) in `self`. >>> f = Function('f', IntSort(), IntSort()) >>> g = Function('g', IntSort(), IntSort()) >>> x = Int('x') >>> q = ForAll(x, f(x) != g(x), patterns = [ f(x), g(x) ]) >>> q.num_patterns() 2
Definition at line 2116 of file z3py.py.
Referenced by QuantifierRef.pattern().
num_vars | ( | self | ) |
Return the number of variables bounded by this quantifier. >>> f = Function('f', IntSort(), IntSort(), IntSort()) >>> x = Int('x') >>> y = Int('y') >>> q = ForAll([x, y], f(x, y) >= x) >>> q.num_vars() 2
Definition at line 2167 of file z3py.py.
Referenced by QuantifierRef.var_name(), and QuantifierRef.var_sort().
pattern | ( | self, | |
idx ) |
Return a pattern (i.e., quantifier instantiation hints) in `self`. >>> f = Function('f', IntSort(), IntSort()) >>> g = Function('g', IntSort(), IntSort()) >>> x = Int('x') >>> q = ForAll(x, f(x) != g(x), patterns = [ f(x), g(x) ]) >>> q.num_patterns() 2 >>> q.pattern(0) f(Var(0)) >>> q.pattern(1) g(Var(0))
Definition at line 2128 of file z3py.py.
qid | ( | self | ) |
skolem_id | ( | self | ) |
sort | ( | self | ) |
Return the Boolean sort or sort of Lambda.
Reimplemented from BoolRef.
Definition at line 2037 of file z3py.py.
Referenced by ArrayRef.domain(), ArrayRef.domain_n(), ArithRef.is_int(), ArithRef.is_real(), ArrayRef.range(), BitVecRef.size(), and ExprRef.sort_kind().
var_name | ( | self, | |
idx ) |
Return a string representing a name used when displaying the quantifier. >>> f = Function('f', IntSort(), IntSort(), IntSort()) >>> x = Int('x') >>> y = Int('y') >>> q = ForAll([x, y], f(x, y) >= x) >>> q.var_name(0) 'x' >>> q.var_name(1) 'y'
Definition at line 2179 of file z3py.py.
var_sort | ( | self, | |
idx ) |
Return the sort of a bound variable. >>> f = Function('f', IntSort(), RealSort(), IntSort()) >>> x = Int('x') >>> y = Real('y') >>> q = ForAll([x, y], f(x, y) >= x) >>> q.var_sort(0) Int >>> q.var_sort(1) Real
Definition at line 2195 of file z3py.py.
weight | ( | self | ) |
Return the weight annotation of `self`. >>> f = Function('f', IntSort(), IntSort()) >>> x = Int('x') >>> q = ForAll(x, f(x) == 0) >>> q.weight() 1 >>> q = ForAll(x, f(x) == 0, weight=10) >>> q.weight() 10
Definition at line 2092 of file z3py.py.
ast |
Definition at line 2055 of file z3py.py.
Referenced by FuncDeclRef.__call__(), AstRef.__deepcopy__(), AstRef.__del__(), SortRef.__eq__(), SortRef.__ne__(), DatatypeSortRef.accessor(), FuncDeclRef.arity(), AstRef.as_ast(), ExprRef.as_ast(), QuantifierRef.as_ast(), FuncDeclRef.as_func_decl(), QuantifierRef.body(), FuncDeclRef.domain(), ArraySortRef.domain_n(), QuantifierRef.is_exists(), QuantifierRef.is_lambda(), FuncDeclRef.kind(), SortRef.name(), QuantifierRef.no_pattern(), QuantifierRef.num_no_patterns(), QuantifierRef.num_patterns(), QuantifierRef.num_vars(), FuncDeclRef.params(), QuantifierRef.pattern(), QuantifierRef.qid(), ArraySortRef.range(), FuncDeclRef.range(), DatatypeSortRef.recognizer(), QuantifierRef.skolem_id(), QuantifierRef.var_name(), QuantifierRef.var_sort(), and QuantifierRef.weight().
ctx |
Definition at line 2040 of file z3py.py.
Referenced by ArithRef.__add__(), BitVecRef.__add__(), BitVecRef.__and__(), FuncDeclRef.__call__(), AstMap.__contains__(), AstRef.__copy__(), AstVector.__copy__(), FuncInterp.__copy__(), Goal.__copy__(), ModelRef.__copy__(), AstMap.__deepcopy__(), AstRef.__deepcopy__(), AstVector.__deepcopy__(), Datatype.__deepcopy__(), FuncEntry.__deepcopy__(), FuncInterp.__deepcopy__(), Goal.__deepcopy__(), ModelRef.__deepcopy__(), ParamDescrsRef.__deepcopy__(), ParamsRef.__deepcopy__(), Statistics.__deepcopy__(), AstMap.__del__(), AstRef.__del__(), AstVector.__del__(), Context.__del__(), FuncEntry.__del__(), FuncInterp.__del__(), Goal.__del__(), ModelRef.__del__(), ParamDescrsRef.__del__(), ParamsRef.__del__(), ScopedConstructor.__del__(), ScopedConstructorList.__del__(), Solver.__del__(), Statistics.__del__(), ArithRef.__div__(), BitVecRef.__div__(), ExprRef.__eq__(), ArithRef.__ge__(), BitVecRef.__ge__(), AstMap.__getitem__(), AstVector.__getitem__(), ModelRef.__getitem__(), Statistics.__getitem__(), ArithRef.__gt__(), BitVecRef.__gt__(), BitVecRef.__invert__(), ArithRef.__le__(), BitVecRef.__le__(), AstMap.__len__(), AstVector.__len__(), ModelRef.__len__(), Statistics.__len__(), BitVecRef.__lshift__(), ArithRef.__lt__(), BitVecRef.__lt__(), ArithRef.__mod__(), BitVecRef.__mod__(), ArithRef.__mul__(), BitVecRef.__mul__(), BoolRef.__mul__(), ExprRef.__ne__(), ArithRef.__neg__(), BitVecRef.__neg__(), BitVecRef.__or__(), ArithRef.__pow__(), ArithRef.__radd__(), BitVecRef.__radd__(), BitVecRef.__rand__(), ArithRef.__rdiv__(), BitVecRef.__rdiv__(), AstMap.__repr__(), ParamDescrsRef.__repr__(), ParamsRef.__repr__(), Statistics.__repr__(), BitVecRef.__rlshift__(), ArithRef.__rmod__(), BitVecRef.__rmod__(), ArithRef.__rmul__(), BitVecRef.__rmul__(), BitVecRef.__ror__(), ArithRef.__rpow__(), BitVecRef.__rrshift__(), BitVecRef.__rshift__(), ArithRef.__rsub__(), BitVecRef.__rsub__(), BitVecRef.__rxor__(), AstMap.__setitem__(), AstVector.__setitem__(), ArithRef.__sub__(), BitVecRef.__sub__(), BitVecRef.__xor__(), DatatypeSortRef.accessor(), ExprRef.arg(), FuncEntry.arg_value(), FuncInterp.arity(), Goal.as_expr(), Solver.assert_and_track(), Goal.assert_exprs(), Solver.assert_exprs(), QuantifierRef.body(), Solver.check(), Goal.convert_model(), AstRef.ctx_ref(), ExprRef.decl(), ModelRef.decls(), ArrayRef.default(), RatNumRef.denominator(), Goal.depth(), Goal.dimacs(), FuncDeclRef.domain(), ArraySortRef.domain_n(), FuncInterp.else_value(), FuncInterp.entry(), AstMap.erase(), ModelRef.eval(), Goal.get(), ParamDescrsRef.get_documentation(), ModelRef.get_interp(), Statistics.get_key_value(), ParamDescrsRef.get_kind(), ParamDescrsRef.get_name(), ModelRef.get_sort(), ModelRef.get_universe(), Goal.inconsistent(), AstMap.keys(), Statistics.keys(), Solver.model(), SortRef.name(), QuantifierRef.no_pattern(), FuncEntry.num_args(), FuncInterp.num_entries(), Solver.num_scopes(), ModelRef.num_sorts(), FuncDeclRef.params(), QuantifierRef.pattern(), AlgebraicNumRef.poly(), Solver.pop(), Goal.prec(), AstVector.push(), Solver.push(), QuantifierRef.qid(), ArraySortRef.range(), FuncDeclRef.range(), DatatypeSortRef.recognizer(), Context.ref(), AstMap.reset(), Solver.reset(), AstVector.resize(), ParamsRef.set(), Solver.set(), AstVector.sexpr(), Goal.sexpr(), ModelRef.sexpr(), Goal.size(), ParamDescrsRef.size(), QuantifierRef.skolem_id(), AstRef.translate(), AstVector.translate(), Goal.translate(), ModelRef.translate(), ParamsRef.validate(), FuncEntry.value(), QuantifierRef.var_name(), and QuantifierRef.var_sort().