def test_not_closing_1(self):
# A
expr = Atom("A")
builder = PropositionalTableauxBuilder(false_exprs=[expr])
builder.auto_resolve()
self.assertFalse(builder.is_closed())
def test_closing_3(self):
# !A -> (A -> B)
expr = Impl(Not(Atom("A")), Impl(Atom("A"), Atom("B")))
builder = PropositionalTableauxBuilder(false_exprs=[expr])
builder.auto_resolve()
self.assertTrue(builder.is_closed())
def test_closing_1(self):
# A | !A
expr = Or(Atom("A"), Not(Atom("A")))
builder = PropositionalTableauxBuilder(false_exprs=[expr])
builder.auto_resolve()
self.assertTrue(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 = PropositionalTableauxBuilder(false_exprs=[expr])
builder.auto_resolve()
self.assertFalse(builder.is_closed())
def test_closing_7(self):
# !!A <-> A
expr = Eq(Not(Not(Atom("A"))), Atom("A"))
builder = PropositionalTableauxBuilder(false_exprs=[expr])
builder.auto_resolve()
self.assertTrue(builder.is_closed())
def test_closing_4(self):
# A -> (B -> C) <-> A&B -> C
expr = Eq(Impl(Atom("A"), Impl(Atom("B"), Atom("C"))),
Impl(And(Atom("A"), Atom("B")), Atom("C")))
builder = PropositionalTableauxBuilder(false_exprs=[expr])
builder.auto_resolve()
self.assertTrue(builder.is_closed())
def test_closing_11(self):
# !(!A&!B) <-> A|B
expr = Eq(Not(And(Not(Atom("A")), Not(Atom("B")))),
Or(Atom("A"), Atom("B")))
builder = PropositionalTableauxBuilder(false_exprs=[expr])
builder.auto_resolve()
self.assertTrue(builder.is_closed())