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conversion of stuck induction

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This commit is contained in:
Rachel Lambda Samuelsson 2023-01-23 18:04:26 +01:00
parent d70a3322c1
commit c6ebac27ba
4 changed files with 22 additions and 5 deletions
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23
lib/Core/Convert.ml
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@ -22,6 +22,7 @@ and conv_tr (len : int) (ty : V.value) (v1 : V.value) (v2 : V.value) =
match ty with
| Type -> conv_tp len v1 v2
| T1 -> () (* unit η-law, this still requires evaluation :/ *)
| T0 -> () (* might be nice, why not? *)
| Pi (a, C (env, b)) ->
let fresh = V.Stuck (V.Var (V.Lvl len), a) in
conv_tr (len+1) (E.eval (fresh :: env) b) (E.app v1 a) (E.app v2 a)
@ -44,9 +45,27 @@ and conv_stuck (len : int) (s1 : V.stuck) (s2 : V.stuck) =
| Var (Lvl i), Var (Lvl j) -> if i == j then () else raise Unequal
| Fst p1, Fst p2 -> conv_stuck len p1 p2
| Snd p1, Snd p2 -> conv_stuck len p1 p2
| App (f1, x1, ty1), App (f2, x2, ty2) -> begin
| App (f1, x1, ty1), App (f2, x2, ty2) ->
conv_stuck len f1 f2;
conv_tp len ty1 ty2;
conv_tr len ty1 x1 x2
end
| Ind0 (C (env1, a1), _), Ind0 (C (env2, a2), _) -> (* _ are definitionally equal *)
let fresh = V.Stuck (V.Var (V.Lvl len), V.T0) in
conv_tp (len+1) (E.eval (fresh :: env1) a1) (E.eval (fresh :: env2) a2)
| IndN (C (aenv1, a1), z1, C2 (senv1, s1), st1), IndN (C (aenv2, a2), z2, C2 (senv2, s2), st2) ->
conv_stuck len st1 st2;
let fresh1 = V.Stuck (V.Var (V.Lvl len), V.TNat) in
let ev1fr1 = E.eval (fresh1 :: aenv1) a1 in
conv_tp (len+1) ev1fr1 (E.eval (fresh1 :: aenv2) a2);
conv_tr len (E.eval (Zero :: aenv1) a1) z1 z2;
let fresh2 = V.Stuck (V.Var (V.Lvl len), ev1fr1) in
conv_tr (len+2) (E.eval (V.Suc fresh1 :: senv1) a1)
(E.eval (fresh2 :: fresh1 :: senv1) s1)
(E.eval (fresh2 :: fresh1 :: senv2) s2)
| IndB (C (env1, a1), t1, f1, st1), IndB (C (env2, a2), t2, f2, st2) ->
conv_stuck len st1 st2;
let fresh = V.Stuck (V.Var (V.Lvl len), V.TBool) in
conv_tp (len+1) (E.eval (fresh :: env1) a1) (E.eval (fresh :: env2) a2);
conv_tr len (E.eval (V.True :: env1) a1) t1 t2;
conv_tr len (E.eval (V.False :: env1) a1) f1 f2
| _ -> raise Unequal

2
lib/Core/Term.ml
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@ -21,7 +21,7 @@ type term
| TBool
| True
| False
| IndB of term binder * term * term * term
| IndB of term binder * term * term * term (* ordered true, false *)
| Pi of term * term binder
| Lam of term binder

2
test/dune
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@ -1,2 +0,0 @@
(test
(name implicitt))

0
test/implicitt.ml
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