def test_not_closing_6(self):
# !!A->A
expr = Impl(Not(Not(Atom("A"))), Atom("A"))
builder = IpcTableauxBuilder(false_exprs=[expr])
builder.auto_resolve()
self.assertFalse(builder.is_closed())
def test_not_closing_1(self):
# A
expr = Atom("A")
builder = IpcTableauxBuilder(false_exprs=[expr])
builder.auto_resolve()
self.assertFalse(builder.is_closed())
def test_not_closing_4(self):
# A&B | !A&B
expr = Or(And(Atom("A"), Atom("B")), And(Not(Atom("A")), Atom("B")))
builder = IpcTableauxBuilder(false_exprs=[expr])
builder.auto_resolve()
self.assertFalse(builder.is_closed())
def test_closing_14(self):
# (!A|B)->(A->B)
expr = Impl(Or(Not(Atom("A")), Atom("B")), Impl(Atom("A"), Atom("B")))
builder = IpcTableauxBuilder(false_exprs=[expr])
builder.auto_resolve()
self.assertTrue(builder.is_closed())
def test_closing_11(self):
# (A->!B) -> !(A&B)
expr = Impl(Impl(Atom("A"), Not(Atom("B"))),
Not(And(Atom("A"), Atom("B"))))
builder = IpcTableauxBuilder(false_exprs=[expr])
builder.auto_resolve()
self.assertTrue(builder.is_closed())
def test_closing_8(self):
# !(A|B) -> !A&!B
expr = Impl(Not(Or(Atom("A"), Atom("B"))),
And(Not(Atom("A")), Not(Atom("B"))))
builder = IpcTableauxBuilder(false_exprs=[expr])
builder.auto_resolve()
self.assertTrue(builder.is_closed())
def test_closing_3(self):
# T A&B F A
expr_1 = And(Atom("A"), Atom("B"))
expr_2 = Atom("A")
builder = IpcTableauxBuilder(true_exprs=[expr_1], false_exprs=[expr_2])
builder.auto_resolve()
self.assertTrue(builder.is_closed())
def test_not_closing_10(self):
# !(A->!B)->A&B
expr = Impl(
Not(Impl(Atom("A"), Not(Atom("B")))),
And(Atom("A"), Atom("B")),
)
builder = IpcTableauxBuilder(false_exprs=[expr])
builder.auto_resolve()
self.assertFalse(builder.is_closed())
def test_not_closing_13(self):
# (A->B)->(!A|B)
expr = Impl(
Impl(Atom("A"), Atom("B")),
Or(Not(Atom("A")), Atom("B")),
)
builder = IpcTableauxBuilder(false_exprs=[expr])
builder.auto_resolve()
self.assertFalse(builder.is_closed())
def test_closing_18(self):
# (A&B)<->((A->B)<->A)
expr = Eq(And(Atom("A"), Atom("B")),
Eq(
Impl(Atom("A"), Atom("B")),
Atom("A"),
))
builder = IpcTableauxBuilder(false_exprs=[expr])
builder.auto_resolve()
self.assertTrue(builder.is_closed())
