add some dim app tests

This commit is contained in:
rhiannon morris 2023-03-05 12:18:15 +01:00
parent edeee68cb7
commit f6bc8cad1f

View file

@ -17,7 +17,7 @@ defGlobals = fromList
("b", mkAbstract Any $ FT "B"),
("f", mkAbstract Any $ Arr One (FT "A") (FT "A")),
("id", mkDef Any (Arr One (FT "A") (FT "A")) (["x"] :\\ BVT 0)),
("eq-ab", mkAbstract Zero $ Eq0 (TYPE 0) (FT "A") (FT "B"))]
("eq-AB", mkAbstract Zero $ Eq0 (TYPE 0) (FT "A") (FT "B"))]
parameters (label : String) (act : Lazy (M ()))
{default defGlobals globals : Definitions Three}
@ -185,8 +185,8 @@ tests = "equality & subtyping" :- [
equalE (MkTyContext new [< ty, ty]) (BV 0) (BV 1),
testEq "∥ x : [(a ≡ a' : A) ∷ Type 0], y : [ditto] ⊢ x = y" $
let ty : forall n. Term Three 0 n
:= E (Eq0 (FT "A") (FT "a") (FT "a'") :# TYPE 0) in
let ty : forall n. Term Three 0 n :=
E (Eq0 (FT "A") (FT "a") (FT "a'") :# TYPE 0) in
equalE (MkTyContext new [< ty, ty]) (BV 0) (BV 1),
testEq "E ≔ a ≡ a' : A, EE ≔ E ∥ x : EE, y : EE ⊢ x = y"
@ -209,8 +209,8 @@ tests = "equality & subtyping" :- [
testEq "E ≔ a ≡ a' : A ∥ x : (E×E), y : (E×E) ⊢ x = y"
{globals = defGlobals `mergeLeft` fromList
[("E", mkDef zero (TYPE 0) (Eq0 (FT "A") (FT "a") (FT "a'")))]} $
let ty : forall n. Term Three 0 n
:= Sig (FT "E") $ S ["_"] $ N $ FT "E" in
let ty : forall n. Term Three 0 n :=
Sig (FT "E") $ S ["_"] $ N $ FT "E" in
equalE (MkTyContext new [< ty, ty]) (BV 0) (BV 1),
testEq "E ≔ a ≡ a' : A, F ≔ E × E ∥ x : F, y : F ⊢ x = y"
@ -337,7 +337,44 @@ tests = "equality & subtyping" :- [
testEq "id [a] <: a" $ subE empty (F "id" :@ FT "a") (F "a")
],
todo "dim application",
"dim application" :- [
testEq "eq-AB @0 = eq-AB @0" $
equalE empty (F "eq-AB" :% K Zero) (F "eq-AB" :% K Zero),
testNeq "eq-AB @0 ≠ eq-AB @1" $
equalE empty (F "eq-AB" :% K Zero) (F "eq-AB" :% K One),
testEq "𝑖 | ⊢ eq-AB @𝑖 = eq-AB @𝑖" $
equalED 1 empty (F "eq-AB" :% BV 0) (F "eq-AB" :% BV 0),
testNeq "𝑖 | ⊢ eq-AB @𝑖 ≠ eq-AB @0" $
equalED 1 empty (F "eq-AB" :% BV 0) (F "eq-AB" :% K Zero),
testEq "𝑖, 𝑖=0 | ⊢ eq-AB @𝑖 = eq-AB @0" $
let ctx = MkTyContext (set (BV 0) (K Zero) new) [<] in
equalED 1 ctx (F "eq-AB" :% BV 0) (F "eq-AB" :% K Zero),
testNeq "𝑖, 𝑖=1 | ⊢ eq-AB @𝑖 ≠ eq-AB @0" $
let ctx = MkTyContext (set (BV 0) (K One) new) [<] in
equalED 1 ctx (F "eq-AB" :% BV 0) (F "eq-AB" :% K Zero),
testNeq "𝑖, 𝑗 | ⊢ eq-AB @𝑖 ≠ eq-AB @𝑗" $
equalED 2 empty (F "eq-AB" :% BV 1) (F "eq-AB" :% BV 0),
testEq "𝑖, 𝑗, 𝑖=𝑗 | ⊢ eq-AB @𝑖 = eq-AB @𝑗" $
let ctx = MkTyContext (set (BV 0) (BV 1) new) [<] in
equalED 2 ctx (F "eq-AB" :% BV 1) (F "eq-AB" :% BV 0),
testNeq "𝑖, 𝑗, 𝑖=0, 𝑗=0 | ⊢ eq-AB @𝑖 ≠ eq-AB @𝑗" $
let ctx : TyContext Three 2 0 :=
MkTyContext (C [< Just $ K Zero, Just $ K Zero]) [<] in
equalED 2 empty (F "eq-AB" :% BV 1) (F "eq-AB" :% BV 0),
testEq "0=1 | ⊢ eq-AB @𝑖 = eq-AB @𝑗" $
equalED 2 (MkTyContext ZeroIsOne [<])
(F "eq-AB" :% BV 1) (F "eq-AB" :% BV 0),
testEq "eq-AB @0 = A" $ equalE empty (F "eq-AB" :% K Zero) (F "A"),
testEq "eq-AB @1 = B" $ equalE empty (F "eq-AB" :% K One) (F "B"),
testEq "((δ i ⇒ a) ∷ a ≡ a) @0 = a" $
equalE empty
(((DLam $ SN $ FT "a") :# Eq0 (FT "A") (FT "a") (FT "a")) :% K Zero)
(F "a"),
testEq "((δ i ⇒ a) ∷ a ≡ a) @0 = ((δ i ⇒ a) ∷ a ≡ a) @1" $
equalE empty
(((DLam $ SN $ FT "a") :# Eq0 (FT "A") (FT "a") (FT "a")) :% K Zero)
(((DLam $ SN $ FT "a") :# Eq0 (FT "A") (FT "a") (FT "a")) :% K One)
],
"annotation" :- [
testEq "(λ x ⇒ f [x]) ∷ A ⊸ A = [f] ∷ A ⊸ A" $
@ -361,25 +398,25 @@ tests = "equality & subtyping" :- [
],
"elim d-closure" :- [
note "0·eq-ab : (A ≡ B : ★₀)",
testEq "(eq-ab #0)𝟎 = eq-ab 𝟎" $
note "0·eq-AB : (A ≡ B : ★₀)",
testEq "(eq-AB #0)𝟎 = eq-AB 𝟎" $
equalED 1 empty
(DCloE (F "eq-ab" :% BV 0) (K Zero ::: id))
(F "eq-ab" :% K Zero),
testEq "(eq-ab #0)𝟎 = A" $
equalED 1 empty (DCloE (F "eq-ab" :% BV 0) (K Zero ::: id)) (F "A"),
testEq "(eq-ab #0)𝟏 = B" $
equalED 1 empty (DCloE (F "eq-ab" :% BV 0) (K One ::: id)) (F "B"),
testNeq "(eq-ab #0)𝟏 ≠ A" $
equalED 1 empty (DCloE (F "eq-ab" :% BV 0) (K One ::: id)) (F "A"),
testEq "(eq-ab #0)#0,𝟎 = (eq-ab #0)" $
(DCloE (F "eq-AB" :% BV 0) (K Zero ::: id))
(F "eq-AB" :% K Zero),
testEq "(eq-AB #0)𝟎 = A" $
equalED 1 empty (DCloE (F "eq-AB" :% BV 0) (K Zero ::: id)) (F "A"),
testEq "(eq-AB #0)𝟏 = B" $
equalED 1 empty (DCloE (F "eq-AB" :% BV 0) (K One ::: id)) (F "B"),
testNeq "(eq-AB #0)𝟏 ≠ A" $
equalED 1 empty (DCloE (F "eq-AB" :% BV 0) (K One ::: id)) (F "A"),
testEq "(eq-AB #0)#0,𝟎 = (eq-AB #0)" $
equalED 2 empty
(DCloE (F "eq-ab" :% BV 0) (BV 0 ::: K Zero ::: id))
(F "eq-ab" :% BV 0),
testNeq "(eq-ab #0)𝟎 ≠ (eq-ab 𝟎)" $
(DCloE (F "eq-AB" :% BV 0) (BV 0 ::: K Zero ::: id))
(F "eq-AB" :% BV 0),
testNeq "(eq-AB #0)𝟎 ≠ (eq-AB 𝟎)" $
equalED 2 empty
(DCloE (F "eq-ab" :% BV 0) (BV 0 ::: K Zero ::: id))
(F "eq-ab" :% K Zero),
(DCloE (F "eq-AB" :% BV 0) (BV 0 ::: K Zero ::: id))
(F "eq-AB" :% K Zero),
testEq "#0𝟎 = #0 # term and dim vars distinct" $
equalED 1 (MkTyContext new [< FT "A"])
(DCloE (BV 0) (K Zero ::: id)) (BV 0),