def test_next_no_loop(self):
with Configure(self, __file__, "/models/flipflops.smv"):
fsm = self.befsm
formula = self.nnf("X (a <-> !b)")
# bound 0
ref_expr= ltlspec.bounded_semantics_without_loop(fsm, formula, 0)
expr = ltlspec.bounded_semantics_without_loop_at_offset(fsm, formula, 0, 0, 0)
self.assertEqual(canonical_cnf(expr), canonical_cnf(ref_expr))
# bound 1
ref_expr= ltlspec.bounded_semantics_without_loop(fsm, formula, 1)
expr = ltlspec.bounded_semantics_without_loop_at_offset(fsm, formula, 0, 1, 0)
self.assertEqual(canonical_cnf(expr), canonical_cnf(ref_expr))
# ---- other offset ----
# bound 0
offset = 1
ref_expr= Be.false(fsm.encoding.manager)
expr = ltlspec.bounded_semantics_without_loop_at_offset(fsm, formula, 0, 0, offset)
self.assertEqual(canonical_cnf(expr), canonical_cnf(ref_expr))
# bound 1
offset = 1
ref_expr= Wff.decorate(ltlspec.car(formula)).to_be(fsm.encoding)
ref_expr= fsm.encoding.shift_to_time(ref_expr, offset+1)
expr = ltlspec.bounded_semantics_without_loop_at_offset(fsm, formula, 0, 1, offset)
self.assertEqual(canonical_cnf(expr), canonical_cnf(ref_expr))
def test_until_with_loop(self):
with Configure(self, __file__, "/models/flipflops.smv"):
fsm = self.befsm
formula = self.nnf("(a U b)")
# bound 1
offset = 0
bound = 1
loop = 0
# remember: the NuSMV std apis incorporate the loop condition !
ref_expr= ltlspec.bounded_semantics_single_loop(fsm, formula, bound, loop)
expr = ltlspec.bounded_semantics_with_loop_at_offset(fsm, formula, 0, bound, loop, offset) \
& bmcutils.loop_condition(self.enc, bound, loop)
self.assertEqual(canonical_cnf(expr), canonical_cnf(ref_expr))
# ---- other offset ----
# bound 2
offset = 1
bound = 2
loop = 0
car = Wff.decorate(ltlspec.car(formula)).to_be(fsm.encoding)
cdr = Wff.decorate(ltlspec.cdr(formula)).to_be(fsm.encoding)
# because of the way the loop condition is encoded !
ref_expr= self.enc.shift_to_time(cdr, offset) | (self.enc.shift_to_time(car, offset) \
& self.enc.shift_to_time(cdr, offset+1))
expr = ltlspec.bounded_semantics_with_loop_at_offset(fsm, formula, 0, bound, loop, offset)
self.assertEqual(canonical_cnf(expr), canonical_cnf(ref_expr))
# because loop < i, the condition must be the same as before
expr = ltlspec.bounded_semantics_with_loop_at_offset(fsm, formula, 1, bound, loop, offset)
self.assertEqual(canonical_cnf(expr), canonical_cnf(ref_expr))
def test_releases_no_loop(self):
with Configure(self, __file__, "/models/flipflops.smv"):
fsm = self.befsm
formula = self.nnf("(a V b)")
# bound 0
ref_expr= ltlspec.bounded_semantics_without_loop(fsm, formula, 0)
expr = ltlspec.bounded_semantics_without_loop_at_offset(fsm, formula, 0, 0, 0)
self.assertEqual(canonical_cnf(expr), canonical_cnf(ref_expr))
# bound 1
ref_expr= ltlspec.bounded_semantics_without_loop(fsm, formula, 1)
expr = ltlspec.bounded_semantics_without_loop_at_offset(fsm, formula, 0, 1, 0)
self.assertEqual(canonical_cnf(expr), canonical_cnf(ref_expr))
# bound 2 -- verification must be done by hand because the different
# cnf literals mess the comparison
ref_expr= ltlspec.bounded_semantics_without_loop(fsm, formula, 2)
expr = ltlspec.bounded_semantics_without_loop_at_offset(fsm, formula, 0, 2, 0)
self.assertEqual(canonical_cnf(expr), canonical_cnf(ref_expr))
# ---- other offset ----
# bound 0
offset = 1
bound = 0
left = Wff.decorate(ltlspec.car(formula)).to_be(fsm.encoding)
right = Wff.decorate(ltlspec.cdr(formula)).to_be(fsm.encoding)
ref_expr= self.enc.shift_to_time(right, offset) & self.enc.shift_to_time(left, offset)
expr = ltlspec.bounded_semantics_without_loop_at_offset(fsm, formula, 0, bound, offset)
self.assertEqual(canonical_cnf(expr), canonical_cnf(ref_expr))
# bound 1
offset = 1
bound = 1
left = Wff.decorate(ltlspec.car(formula)).to_be(fsm.encoding)
right = Wff.decorate(ltlspec.cdr(formula)).to_be(fsm.encoding)
ref_expr= self.enc.shift_to_time(right, offset) & ( self.enc.shift_to_time(left, offset) \
| (self.enc.shift_to_time(right, 1+offset) & self.enc.shift_to_time(left, 1+offset)))
expr = ltlspec.bounded_semantics_without_loop_at_offset(fsm, formula, 0, bound, offset)
self.assertEqual(canonical_cnf(expr), canonical_cnf(ref_expr))
def test_eventually(self):
with Configure(self, __file__, "/models/flipflops.smv"):
fsm = self.befsm
formula = self.nnf("F (a <-> !b)")
# bound 0
offset = 0
bound = 0
ref_expr= ltlspec.bounded_semantics(fsm, formula, bound)
expr = ltlspec.bounded_semantics_at_offset(fsm, formula, bound, offset)
self.assertEqual(canonical_cnf(expr), canonical_cnf(ref_expr))
# bound 1
offset = 0
bound = 1
ref_expr= ltlspec.bounded_semantics(fsm, formula, bound)
expr = ltlspec.bounded_semantics_at_offset(fsm, formula, bound, offset)
self.assertEqual(canonical_cnf(expr), canonical_cnf(ref_expr))
# ---- other offset ----
# bound 0
offset = 2
bound = 0
car = Wff.decorate(ltlspec.car(formula)).to_be(fsm.encoding)
ref_expr= self.enc.shift_to_time(car, 0+offset)
expr = ltlspec.bounded_semantics_at_offset(fsm, formula, bound, offset)
self.assertEqual(canonical_cnf(expr), canonical_cnf(ref_expr))
# bound 1
offset = 2
bound = 1
car = Wff.decorate(ltlspec.car(formula)).to_be(fsm.encoding)
ref_expr= self.enc.shift_to_time(car, 0+offset) | self.enc.shift_to_time(car, 1+offset)
expr = ltlspec.bounded_semantics_at_offset(fsm, formula, bound, offset)
self.assertEqual(canonical_cnf(expr), canonical_cnf(ref_expr))
def test_eventually_no_loop(self):
with Configure(self, __file__, "/models/flipflops.smv"):
fsm = self.befsm
formula = self.nnf("F (a <-> !b)")
# bound 0
ref_expr= ltlspec.bounded_semantics_without_loop(fsm, formula, 0)
expr = ltlspec.bounded_semantics_without_loop_at_offset(fsm, formula, 0, 0, 0)
self.assertEqual(canonical_cnf(expr), canonical_cnf(ref_expr))
# bound 1
ref_expr= ltlspec.bounded_semantics_without_loop(fsm, formula, 1)
expr = ltlspec.bounded_semantics_without_loop_at_offset(fsm, formula, 0, 1, 0)
self.assertEqual(canonical_cnf(expr), canonical_cnf(ref_expr))
# bound 2 -- verification must be done by hand because the different
# cnf literals mess the comparison
# ref_expr= ltlspec.bounded_semantics_without_loop(fsm, formula, 2)
# expr = ltlspec.bounded_semantics_without_loop_at_offset(fsm, formula, 0, 2, 0)
# self.assertEqual(canonical_cnf(expr), canonical_cnf(ref_expr))
# ---- other offset ----
# bound 0
offset = 1
ref_expr= Wff.decorate(ltlspec.car(formula)).to_be(fsm.encoding)
ref_expr= fsm.encoding.shift_to_time(ref_expr, offset)
expr = ltlspec.bounded_semantics_without_loop_at_offset(fsm, formula, 0, 0, offset)
self.assertEqual(canonical_cnf(expr), canonical_cnf(ref_expr))
# bound 1
offset = 1
ref_expr= Wff.decorate(ltlspec.car(formula)).to_be(fsm.encoding)
ref_expr= fsm.encoding.shift_to_time(ref_expr, offset) \
| fsm.encoding.shift_to_time(ref_expr, offset+1)
expr = ltlspec.bounded_semantics_without_loop_at_offset(fsm, formula, 0, 1, offset)
self.assertEqual(canonical_cnf(expr), canonical_cnf(ref_expr))
def test_next(self):
with Configure(self, __file__, "/models/flipflops.smv"):
fsm = self.befsm
formula = self.nnf("X (a <-> !b)")
# bound 0
offset = 0
bound = 0
ref_expr= ltlspec.bounded_semantics(fsm, formula, bound)
expr = ltlspec.bounded_semantics_at_offset(fsm, formula, bound, offset)
self.assertEqual(canonical_cnf(expr), canonical_cnf(ref_expr))
# bound 1
offset = 0
bound = 1
# done this way to avoid the depth 1 optimisation
car = Wff.decorate(ltlspec.car(formula)).to_be(fsm.encoding)
ref_expr= self.enc.shift_to_time(car, offset+1) \
| (self.enc.shift_to_time(car, offset) & bmcutils.loop_condition(self.enc, bound, 0))
expr = ltlspec.bounded_semantics_at_offset(fsm, formula, bound, offset)