def test_EVENTUALLY_check_ltl_onepb(self):
with tests.Configure(self, __file__, "/example.smv"):
# proving a violation of this prop necessitates at least two
# steps: flip --> flop --> flip
formula = parseLTL("<>(a <=> b)")
status, trace = check.check_ltl_onepb(formula, 0)
self.assertEqual("Ok", status)
self.assertIsNone(trace)
status, trace = check.check_ltl_onepb(formula, 1)
self.assertEqual("Ok", status)
self.assertIsNone(trace)
# a loop is identified
status, trace = check.check_ltl_onepb(formula, 2)
self.assertEqual("Violation", status)
self.assertIsNotNone(trace)
self.assertEqual(2, len(trace))
# valid in the initial state (hence for any bound)
formula = parseLTL("<>(a | b)")
for k in range(10):
status, trace = check.check_ltl_onepb(formula, k)
self.assertEqual("Ok", status)
self.assertIsNone(trace)
def test_GLOBALLY_check_ltl_onepb(self):
with tests.Configure(self, __file__, "/example.smv"):
formula = parseLTL("[](a <=> !b)")
for k in range(10):
status, trace = check.check_ltl_onepb(formula, k)
self.assertEqual("Ok", status)
self.assertIsNone(trace)
# already violated in the initial state
formula = parseLTL("[](a <=> b)")
status, trace = check.check_ltl_onepb(formula, 0)
self.assertEqual("Violation", status)
self.assertIsNotNone(trace)
self.assertEqual(0, len(trace))
def test_NEXT_check_ltl_onepb(self):
with tests.Configure(self, __file__, "/example.smv"):
# false in the initial state
formula = parseLTL("() a")
# however the violation is not detected when no move is allowed
status, trace = check.check_ltl_onepb(formula, 0)
self.assertEqual("Ok", status)
self.assertIsNone(trace)
status, trace = check.check_ltl_onepb(formula, 1)
self.assertEqual("Violation", status)
self.assertIsNotNone(trace)
self.assertEqual(1, len(trace))
# true in the initial state
formula = parseLTL("()() a")
# not reachable
status, trace = check.check_ltl_onepb(formula, 0)
self.assertEqual("Ok", status)
self.assertIsNone(trace)
# not quite yet
status, trace = check.check_ltl_onepb(formula, 1)
self.assertEqual("Ok", status)
self.assertIsNone(trace)
# ok
status, trace = check.check_ltl_onepb(formula, 2)
self.assertEqual("Ok", status)
self.assertIsNone(trace)
# and even for longer traces
status, trace = check.check_ltl_onepb(formula, 3)
self.assertEqual("Ok", status)
self.assertIsNone(trace)
def test_UNTIL_check_ltl_onepb(self):
with tests.Configure(self, __file__, "/never_b.smv"):
# entailed by the automaton
formula = parseLTL("a U b")
# not reachable
status, trace = check.check_ltl_onepb(formula, 0)
self.assertEqual("Ok", status)
self.assertIsNone(trace)
# this is where U differs from W: at infinity, b must hold
status, trace = check.check_ltl_onepb(formula, 1)
self.assertEqual("Violation", status)
self.assertIsNotNone(trace)
self.assertEqual(1, len(trace))
# true in the initial state
formula = parseLTL("b U a")
status, trace = check.check_ltl_onepb(formula, 0)
self.assertEqual("Ok", status)
self.assertIsNone(trace)
status, trace = check.check_ltl_onepb(formula, 1)
self.assertEqual("Ok", status)
self.assertIsNone(trace)
status, trace = check.check_ltl_onepb(formula, 2)
self.assertEqual("Ok", status)
self.assertIsNone(trace)
status, trace = check.check_ltl_onepb(formula, 3)
self.assertEqual("Ok", status)
self.assertIsNone(trace)
# violated right away
formula = parseLTL("b U !a")
status, trace = check.check_ltl_onepb(formula, 0)
self.assertEqual("Violation", status)
self.assertIsNotNone(trace)
self.assertEqual(0, len(trace))
def test_WEAKUNTIL_check_ltl_onepb(self):
with tests.Configure(self, __file__, "/never_b.smv"):
# entailed by the automaton
formula = parseLTL("a W b")
# not reachable
status, trace = check.check_ltl_onepb(formula, 0)
self.assertEqual("Ok", status)
self.assertIsNone(trace)
# already looping but no counter example
status, trace = check.check_ltl_onepb(formula, 1)
self.assertEqual("Ok", status)
self.assertIsNone(trace)
# true in the initial state
formula = parseLTL("b W a")
status, trace = check.check_ltl_onepb(formula, 0)
self.assertEqual("Ok", status)
self.assertIsNone(trace)
status, trace = check.check_ltl_onepb(formula, 1)
self.assertEqual("Ok", status)
self.assertIsNone(trace)
status, trace = check.check_ltl_onepb(formula, 2)
self.assertEqual("Ok", status)
self.assertIsNone(trace)
status, trace = check.check_ltl_onepb(formula, 3)
self.assertEqual("Ok", status)
self.assertIsNone(trace)
# violated right away
formula = parseLTL("b W !a")
status, trace = check.check_ltl_onepb(formula, 0)
self.assertEqual("Violation", status)
self.assertIsNotNone(trace)
self.assertEqual(0, len(trace))