def test_zero(self):
self.assertEqual(process_entry("0"), "0:Nat")
def test_complex_lambda(self):
self.assertEqual(
process_entry(
"\\x:Nat->Nat.\\y:Nat.(\\z:Bool.if z then x y else 0)"),
"\\x:Nat->Nat.\\y:Nat.(\\z:Bool.if z then x y else 0):(Nat->Nat)->(Nat->(Bool->Nat))"
)
def test_complex_lambda_eval(self):
self.assertEqual(
process_entry(
"(\\x:Nat->Nat.\\y:Nat.(\\z:Bool.if z then x y else 0)) (\\j:Nat.succ(j)) succ(succ(succ(succ(succ(succ(succ(succ(0)))))))) true"
), "succ(succ(succ(succ(succ(succ(succ(succ(succ(0))))))))):Nat")
def test_lambda(self):
self.assertEqual(process_entry("\\x:Nat.succ(x)"),
"\\x:Nat.succ(x):Nat->Nat")
def test_wrong_app(self):
with self.assertRaises(TypeError):
process_entry("0 0")
def test_free_variable(self):
with self.assertRaises(KeyError):
process_entry("x")
def test_succ_pred(self):
self.assertEqual(process_entry("succ(succ(pred(0)))"), "succ(0):Nat")
def test_succ_with_bool(self):
with self.assertRaises(TypeError):
process_entry("(\\x:Bool.succ(x)) true")
def test_lambda_w_var(self):
self.assertEqual(process_entry("\\z:Nat.z"), "\\z:Nat.z:Nat->Nat")
def test_lambda_wo_var(self):
self.assertEqual(process_entry("\\x:Nat.succ(0)"),
"\\x:Nat.succ(0):Nat->Nat")
def test_branches_with_diff_types(self):
with self.assertRaises(TypeError):
process_entry("if true then 0 else false")
def test_true(self):
self.assertEqual(process_entry("true"), "True:Bool")