X-Git-Url: http://git.megacz.com/?a=blobdiff_plain;f=src%2FHaskStrong.v;h=2c418bd75619920c6df6a57b1a76c0a34e993dfa;hb=54e3d85658516dcf7d8504e94f973a87e255f8f3;hp=bab6e04941973b4c5cfa07cc68b5320da744a27e;hpb=94c8e7297c8026cb505bb0a8461da4a0b257b48a;p=coq-hetmet.git

diff --git a/src/HaskStrong.v b/src/HaskStrong.v
index bab6e04..2c418bd 100644
--- a/src/HaskStrong.v
+++ b/src/HaskStrong.v
@@ -7,8 +7,10 @@ Require Import Preamble.
 Require Import General.
 Require Import Coq.Strings.String.
 Require Import Coq.Lists.List.
-Require Import HaskGeneral.
-Require Import HaskLiterals.
+Require Import HaskKinds.
+Require Import HaskWeakVars.
+Require Import HaskCoreTypes.
+Require Import HaskCoreLiterals.
 Require Import HaskStrongTypes.
 
 Section HaskStrong.
@@ -16,35 +18,43 @@ Section HaskStrong.
   (* any type with decidable equality may be used to represent value variables *)
   Context `{EQD_VV:EqDecidable VV}.
 
-  (* a ExprCaseBranch contains all the data found in a case branch except the expression itself *)
-  Record ExprCaseBranch {n}{tc:TyCon n}{Γ}{atypes:vec (HaskType Γ) n} :=
-  { cbi_sacic     :  @StrongAltConInContext n tc Γ atypes
-  ; cbi_vars      :  vec VV (tagNumValVars (cbi_tag cbi_sacic))
-  ; cbi_varstypes := vec2list (vec_zip cbi_vars (cbi_types cbi_sacic))
+  (* a StrongCaseBranchWithVVs contains all the data found in a case branch except the expression itself *)
+
+  Record StrongCaseBranchWithVVs {tc:TyCon}{Γ}{atypes:IList _ (HaskType Γ) (tyConKind tc)} :=
+  { scbwv_sac       :  @StrongAltCon tc
+  ; scbwv_exprvars  :  vec VV (sac_numExprVars scbwv_sac)
+  ; scbwv_varstypes := vec_zip scbwv_exprvars (sac_types scbwv_sac Γ atypes)
+  ; scbwv_ξ         := fun ξ lev =>  update_ξ (weakLT'○ξ) (vec2list
+                                        (vec_map (fun x => ((fst x),(snd x @@ weakL' lev))) scbwv_varstypes))
   }.
-  Implicit Arguments ExprCaseBranch [[n][Γ]].
-  Coercion cbi_sacic : ExprCaseBranch >-> StrongAltConInContext.
+  Implicit Arguments StrongCaseBranchWithVVs [[Γ]].
+  Coercion scbwv_sac : StrongCaseBranchWithVVs >-> StrongAltCon.
 
-  Inductive Expr : forall Γ (Δ:CoercionEnv Γ), (VV -> LeveledHaskType Γ) -> LeveledHaskType Γ -> Type :=
+  Inductive Expr : forall Γ (Δ:CoercionEnv Γ), (VV -> LeveledHaskType Γ ★) -> LeveledHaskType Γ ★ -> Type :=
   | EVar   : ∀ Γ Δ ξ ev,                                                                             Expr Γ Δ ξ (ξ ev)
   | ELit   : ∀ Γ Δ ξ lit   l,                                                                        Expr Γ Δ ξ (literalType lit@@l)
   | EApp   : ∀ Γ Δ ξ t1 t2 l,        Expr Γ Δ ξ (t2--->t1 @@ l)   -> Expr Γ Δ ξ (t2 @@ l)         -> Expr Γ Δ ξ (t1 @@ l)
-  | ELam   : ∀ Γ Δ ξ t1 t2 l ev, Γ ⊢ᴛy t1:★ ->Expr Γ Δ (update_ξ ξ ((ev,t1@@l)::nil)) (t2@@l)     -> Expr Γ Δ ξ (t1--->t2@@l)
+  | ELam   : ∀ Γ Δ ξ t1 t2 l ev,              Expr Γ Δ (update_ξ ξ ((ev,t1@@l)::nil)) (t2@@l)     -> Expr Γ Δ ξ (t1--->t2@@l)
   | ELet   : ∀ Γ Δ ξ tv t  l ev,Expr Γ Δ ξ (tv@@l)->Expr Γ Δ (update_ξ ξ ((ev,tv@@l)::nil))(t@@l) -> Expr Γ Δ ξ (t@@l)
   | EEsc   : ∀ Γ Δ ξ ec t  l,     Expr Γ Δ ξ (<[ ec |- t ]> @@ l)                                 -> Expr Γ Δ ξ (t @@ (ec::l))
   | EBrak  : ∀ Γ Δ ξ ec t  l,     Expr Γ Δ ξ (t @@ (ec::l))                                       -> Expr Γ Δ ξ (<[ ec |- t ]> @@ l)
-  | ECast  : ∀ Γ Δ ξ γ t1 t2 l, Δ ⊢ᴄᴏ γ : t1 ∼ t2 ->  Expr Γ Δ ξ (t1 @@ l)                        -> Expr Γ Δ ξ (t2 @@ l)
+  | ECast  : forall Γ Δ ξ t1 t2 (γ:HaskCoercion Γ Δ (t1 ∼∼∼ t2)) l,
+    Expr Γ Δ ξ (t1 @@ l)                        -> Expr Γ Δ ξ (t2 @@ l)
   | ENote  : ∀ Γ Δ ξ t, Note                      -> Expr Γ Δ ξ t                                 -> Expr Γ Δ ξ t
-  | ETyApp : ∀ Γ Δ κ σ τ ξ l,     Γ ⊢ᴛy τ : κ -> Expr Γ Δ ξ (HaskTAll κ σ @@ l)                   -> Expr Γ Δ ξ (substT σ τ @@ l)
-  | ECoLam : ∀ Γ Δ κ σ σ₁ σ₂ ξ l,   Γ ⊢ᴛy σ₁:κ -> Γ ⊢ᴛy σ₂:κ -> Expr Γ (σ₁∼∼∼σ₂::Δ) ξ (σ @@ l)    -> Expr Γ Δ ξ (σ₁∼∼σ₂ :κ ⇒ σ @@ l)
-  | ECoApp : ∀ Γ Δ κ γ σ₁ σ₂ σ ξ l, Δ ⊢ᴄᴏ γ  : σ₁∼σ₂ -> Expr Γ Δ ξ (σ₁ ∼∼ σ₂ : κ ⇒ σ @@ l)        -> Expr Γ Δ ξ (σ        @@l)
+  | ETyApp : ∀ Γ Δ κ σ τ ξ l,                    Expr Γ Δ ξ (HaskTAll κ σ @@ l)                   -> Expr Γ Δ ξ (substT σ τ @@ l)
+  | ECoLam : forall Γ Δ κ σ (σ₁ σ₂:HaskType Γ κ) ξ l,
+    Expr Γ (σ₁∼∼∼σ₂::Δ) ξ (σ @@ l)    -> Expr Γ Δ ξ (σ₁∼∼σ₂    ⇒ σ @@ l)
+  | ECoApp : forall Γ Δ κ (σ₁ σ₂:HaskType Γ κ) (γ:HaskCoercion Γ Δ (σ₁∼∼∼σ₂)) σ ξ l,
+    Expr Γ Δ ξ (σ₁ ∼∼ σ₂ ⇒ σ @@ l)            -> Expr Γ Δ ξ (σ        @@l)
   | ETyLam : ∀ Γ Δ ξ κ σ l,
     Expr (κ::Γ) (weakCE Δ) (weakLT○ξ) (HaskTApp (weakF σ) (FreshHaskTyVar _)@@(weakL l))-> Expr Γ Δ ξ (HaskTAll κ σ @@ l)
-
-  | ECase    : forall Γ Δ ξ l n (tc:TyCon n) atypes tbranches,
+  | ECase    : forall Γ Δ ξ l tc tbranches atypes,
                Expr Γ Δ ξ (caseType tc atypes @@ l) ->
-               Tree ??{ scb : ExprCaseBranch tc atypes
-                            & Expr (cbi_Γ scb) (cbi_Δ scb) (update_ξ (weakLT'○ξ) (cbi_varstypes scb)) (weakLT' (tbranches@@l)) } ->
+               Tree ??{ scb : StrongCaseBranchWithVVs tc atypes
+                            & Expr (sac_Γ scb Γ)
+                                   (sac_Δ scb Γ atypes (weakCK'' Δ))
+                                   (scbwv_ξ scb ξ l)
+                                   (weakLT' (tbranches@@l)) } ->
                Expr Γ Δ ξ (tbranches @@ l)
 
   | ELetRec  : ∀ Γ Δ ξ l τ vars, let ξ' := update_ξ ξ (map (fun x => ((fst x),(snd x @@ l))) (leaves vars)) in
@@ -53,10 +63,11 @@ Section HaskStrong.
     Expr            Γ Δ ξ  (τ@@l)
 
   (* can't avoid having an additional inductive: it is a tree of Expr's, each of whose ξ depends on the type of the entire tree *)
-  with ELetRecBindings : forall Γ (Δ:CoercionEnv Γ), (VV -> LeveledHaskType Γ) -> HaskLevel Γ -> Tree ??(VV*HaskType Γ) -> Type :=
+  with ELetRecBindings : ∀ Γ, CoercionEnv Γ -> (VV -> LeveledHaskType Γ ★) -> HaskLevel Γ -> Tree ??(VV*HaskType Γ ★) -> Type :=
   | ELR_nil    : ∀ Γ Δ ξ l  ,                                                                 ELetRecBindings Γ Δ ξ l []
-  | ELR_leaf   : ∀ Γ Δ ξ t l v,                                        Expr Γ Δ ξ (t @@ l) -> ELetRecBindings Γ Δ ξ l [(v,t)]
+  | ELR_leaf   : ∀ Γ Δ ξ l v,                                Expr Γ Δ ξ (unlev (ξ v) @@ l) -> ELetRecBindings Γ Δ ξ l [(v,unlev (ξ v))]
   | ELR_branch : ∀ Γ Δ ξ l t1 t2, ELetRecBindings Γ Δ ξ l t1 -> ELetRecBindings Γ Δ ξ l t2 -> ELetRecBindings Γ Δ ξ l (t1,,t2)
   .
 
 End HaskStrong.
+Implicit Arguments StrongCaseBranchWithVVs [[Γ]].