def as_onestate_formula(self, index: Optional[int] = None) -> Expr:
# TODO: move to class State, this shouldn't be here
assert self.num_states == 1 or index is not None, \
'to generate a onestate formula from a multi-state model, ' + \
'you must specify which state you want'
assert index is None or (0 <= index and index < self.num_states)
if index is None:
index = 0
if index not in self.onestate_formula_cache:
prog = syntax.the_program
mut_rel_interps = self.rel_interps[index]
mut_const_interps = self.const_interps[index]
mut_func_interps = self.func_interps[index]
vs: List[syntax.SortedVar] = []
ineqs: Dict[SortDecl, List[Expr]] = {}
rels: Dict[RelationDecl, List[Expr]] = {}
consts: Dict[ConstantDecl, Expr] = {}
funcs: Dict[FunctionDecl, List[Expr]] = {}
for sort in self.univs:
vs.extend(syntax.SortedVar(v, syntax.UninterpretedSort(sort.name))
for v in self.univs[sort])
u = [syntax.Id(v) for v in self.univs[sort]]
ineqs[sort] = [syntax.Neq(a, b) for a, b in combinations(u, 2)]
for R, l in chain(mut_rel_interps.items(), self.immut_rel_interps.items()):
rels[R] = []
for tup, ans in l.items():
e: Expr = (
syntax.AppExpr(R.name, tuple(syntax.Id(col) for col in tup))
if tup else syntax.Id(R.name)
)
rels[R].append(e if ans else syntax.Not(e))
for C, c in chain(mut_const_interps.items(), self.immut_const_interps.items()):
consts[C] = syntax.Eq(syntax.Id(C.name), syntax.Id(c))
for F, fl in chain(mut_func_interps.items(), self.immut_func_interps.items()):
funcs[F] = [
syntax.Eq(syntax.AppExpr(F.name, tuple(syntax.Id(col) for col in tup)),
syntax.Id(res))
for tup, res in fl.items()
]
# get a fresh variable, avoiding names of universe elements in vs
fresh = prog.scope.fresh('x', [v.name for v in vs])
e = syntax.Exists(tuple(vs), syntax.And(
*chain(*ineqs.values(), *rels.values(), consts.values(), *funcs.values(), (
syntax.Forall((syntax.SortedVar(fresh,
syntax.UninterpretedSort(sort.name)),),
syntax.Or(*(syntax.Eq(syntax.Id(fresh), syntax.Id(v))
for v in self.univs[sort])))
for sort in self.univs
))))
assert prog.scope is not None
with prog.scope.n_states(1):
typechecker.typecheck_expr(prog.scope, e, None)
self.onestate_formula_cache[index] = e
return self.onestate_formula_cache[index]
def _read_first_order_structure(
struct: FirstOrderStructure
) -> Tuple[List[syntax.SortedVar], # vs
Dict[SortDecl, List[Expr]], # ineqs
Dict[RelationDecl, List[Expr]], # rels
Dict[ConstantDecl, Expr], # consts
Dict[FunctionDecl, List[Expr]], # funcs
]:
vars_by_sort: Dict[SortDecl, List[syntax.SortedVar]] = {}
ineqs: Dict[SortDecl, List[Expr]] = {}
rels: Dict[RelationDecl, List[Expr]] = {}
consts: Dict[ConstantDecl, Expr] = {}
funcs: Dict[FunctionDecl, List[Expr]] = {}
for sort in struct.univs:
vars_by_sort[sort] = [
syntax.SortedVar(v, syntax.UninterpretedSort(sort.name))
for v in struct.univs[sort]
]
u = [syntax.Id(s) for s in struct.univs[sort]]
ineqs[sort] = [
syntax.Neq(a, b) for a, b in itertools.combinations(u, 2)
]
for R, l in struct.rel_interps.items():
rels[R] = []
for tup, ans in l.items():
e: Expr
if tup:
args: List[Expr] = []
for (col, col_sort) in zip(tup, R.arity):
assert isinstance(col_sort, syntax.UninterpretedSort)
assert col_sort.decl is not None
args.append(syntax.Id(col))
e = syntax.AppExpr(R.name, tuple(args))
else:
e = syntax.Id(R.name)
e = e if ans else syntax.Not(e)
rels[R].append(e)
for C, c in struct.const_interps.items():
e = syntax.Eq(syntax.Id(C.name), syntax.Id(c))
consts[C] = e
for F, fl in struct.func_interps.items():
funcs[F] = []
for tup, res in fl.items():
e = syntax.AppExpr(F.name,
tuple(syntax.Id(col) for col in tup))
e = syntax.Eq(e, syntax.Id(res))
funcs[F].append(e)
vs = list(itertools.chain(*(vs for vs in vars_by_sort.values())))
return vs, ineqs, rels, consts, funcs
def p_expr_app(p: Any) -> None:
'expr : id LPAREN args RPAREN'
p[0] = syntax.AppExpr(p[1], p[1].value, p[3])
def as_expr(self, els_trans: Callable[[str],str]) -> Expr:
e = syntax.AppExpr(None, self._func.name, [syntax.Id(None, els_trans(e)) for e in self._params_els])
return syntax.Eq(e, syntax.Id(None, els_trans(self._res_elm)))
def p_expr_app(p: Any) -> None:
'expr : id LPAREN args RPAREN'
callee_tok = p[1]
args: List[syntax.Expr] = p[3]
p[0] = syntax.AppExpr(callee_tok.value, args, span=loc_join(callee_tok, p.slice[4]))
def p_expr_app(p: Any) -> None:
'expr : id primes LPAREN args RPAREN'
callee_tok = p[1]
primes = p[2]
args: Tuple[syntax.Expr, ...] = p[4]
p[0] = syntax.AppExpr(callee_tok.value, args, primes, span=loc_join(callee_tok, p.slice[5]))
