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add test case for eta-equality

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Rachel Lambda Samuelsson 2022-05-15 15:30:35 +02:00
parent dea31b675d
commit b4a649a438
2 changed files with 33 additions and 10 deletions
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39
src/Tests.idr
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@ -2,7 +2,14 @@ module Tests
import Term import Term
import Check import Check
import Check import Convert
import Misc
import Normalize
import Value
import Control.Monad.RWS
import Control.Monad.Identity
import Control.Monad.Either
import Data.Nat import Data.Nat
@ -11,13 +18,25 @@ import Data.Nat
a : {p, q : Nat} -> lt p q = True -> LT p q a : {p, q : Nat} -> lt p q = True -> LT p q
a {p} {q} eq = ltReflectsLT p q eq a {p} {q} eq = ltReflectsLT p q eq
test1 : Either String (Bool, List String) {- λA. λx. x : ∏ (A : Type) → A → A -}
test1 = typecheck (TLam (TLam (TVar 0 (a Refl)))) test_id : Either String (Bool, List String)
(TPi TType (TPi (TVar 0 (a Refl)) (TVar 1 (a Refl)))) test_id = typecheck (TLam (TLam (TVar 0 (a Refl))))
(TPi TType (TPi (TVar 0 (a Refl)) (TVar 1 (a Refl))))
test2 : Either String (Bool, List String) {- λA. λB. λf. λx. f x : ∏ (A : Type) ∏ (B : A → Type) ∏ (f : ∏ (x : A) B x) ∏ (x : A) B x -}
test2 = typecheck (TLam (TLam (TLam (TLam (TApp (TVar 1 (a Refl)) (TVar 0 (a Refl))))))) test_app : Either String (Bool, List String)
(TPi TType test_app = typecheck (TLam (TLam (TLam (TLam (TApp (TVar 1 (a Refl)) (TVar 0 (a Refl)))))))
(TPi (TPi (TVar 0 (a Refl)) TType) (TPi TType
(TPi (TPi (TVar 1 (a Refl)) (TApp (TVar 1 (a Refl)) (TVar 0 (a Refl)))) (TPi (TPi (TVar 0 (a Refl)) TType)
(TPi (TVar 2 (a Refl)) (TApp (TVar 2 (a Refl)) (TVar 0 (a Refl))))))) (TPi (TPi (TVar 1 (a Refl)) (TApp (TVar 1 (a Refl)) (TVar 0 (a Refl))))
(TPi (TVar 2 (a Refl)) (TApp (TVar 2 (a Refl)) (TVar 0 (a Refl)))))))
{- λf. λx. f x ≃ λf. λx. (λy. f y) x -}
eta_test : Either String (Bool, List String)
eta_test = resolve action
where
action : PI Bool
action = do
x <- eval ctx0 (TLam (TLam (TApp (TVar 1 (a Refl)) (TVar 0 (a Refl)))))
y <- eval ctx0 (TLam (TLam (TApp (TLam (TApp (TVar 2 (a Refl)) (TVar 0 (a Refl)))) (TVar 0 (a Refl)))))
convert x y

4
src/Value.idr
View File

@ -19,6 +19,10 @@ mutual
Ctx : Index -> Type Ctx : Index -> Type
Ctx i = Vect i Value Ctx i = Vect i Value
public export
ctx0 : Ctx 0
ctx0 = []
public export public export
Show Value where Show Value where
show VType = "VType" show VType = "VType"