X-Git-Url: http://git.megacz.com/?p=coq-hetmet.git;a=blobdiff_plain;f=src%2FExtractionMain.v;h=df7896b14e5330fecfecbe1c88e5c09a2db56f9e;hp=ea89cf42f8eb92e422f424df31fc2c5e10970412;hb=1a2754d2e135ef3c5fd7ef817e1129af93b533a5;hpb=35d3a59796735e5341389fa6a145f62dcea9c3fc

diff --git a/src/ExtractionMain.v b/src/ExtractionMain.v
index ea89cf4..df7896b 100644
--- a/src/ExtractionMain.v
+++ b/src/ExtractionMain.v
@@ -13,9 +13,11 @@ Require Import Preamble.
 Require Import General.
 
 Require Import NaturalDeduction.
+Require Import NaturalDeductionContext.
 
 Require Import HaskKinds.
-Require Import HaskLiteralsAndTyCons.
+Require Import HaskLiterals.
+Require Import HaskTyCons.
 Require Import HaskCoreVars.
 Require Import HaskCoreTypes.
 Require Import HaskCore.
@@ -131,7 +133,7 @@ Section core2proof.
                     OK (eol+++eol+++eol+++
                         "\begin{preview}"+++eol+++
                         "$\displaystyle "+++
-                        toString (nd_ml_toLatexMath (@expr2proof _ _ _ _ _ _ e))+++
+                        toString (nd_ml_toLatexMath (@expr2proof _ _ _ _ _ _ _ e))+++
                         " $"+++eol+++
                         "\end{preview}"+++eol+++eol+++eol)
                   )))))))).
@@ -160,7 +162,7 @@ Section core2proof.
     Definition mkWeakTypeVar (u:Unique)(k:Kind)                 : WeakTypeVar :=
       weakTypeVar (mkTyVar (mkSystemName u "tv" O) k) k.
     Definition mkWeakCoerVar (u:Unique)(k:Kind)(t1 t2:WeakType) : WeakCoerVar :=
-      weakCoerVar (mkCoVar (mkSystemName u "cv" O) (weakTypeToCoreType t1) (weakTypeToCoreType t2)) k t1 t2.
+      weakCoerVar (mkCoVar (mkSystemName u "cv" O) (weakTypeToCoreType t1) (weakTypeToCoreType t2)) t1 t2.
     Definition mkWeakExprVar (u:Unique)(t:WeakType)             : WeakExprVar :=
       weakExprVar (mkExVar (mkSystemName u "ev" O) (weakTypeToCoreType t)) t.
 
@@ -233,29 +235,30 @@ Section core2proof.
 
   Definition curry {Γ}{Δ}{a}{s}{Σ}{lev} :
     ND Rule 
-       [ Γ > Δ > Σ             |- [a ---> s @@ lev ] ]
-       [ Γ > Δ > Σ,,[a @@ lev] |-       [ s @@ lev ] ].
-    eapply nd_comp; [ idtac | eapply nd_rule; apply (@RApp Γ Δ Σ [a@@lev] a s lev) ].
+       [ Γ > Δ > Σ             |- [a ---> s  ]@lev ]
+       [ Γ > Δ > [a @@ lev],,Σ |-       [ s ]@lev ].
+    eapply nd_comp; [ idtac | eapply nd_rule; eapply RArrange; eapply AExch ].
+    eapply nd_comp; [ idtac | eapply nd_rule; eapply RApp ].
     eapply nd_comp; [ apply nd_rlecnac | idtac ].
-    apply nd_prod.    
+    apply nd_prod.
     apply nd_id.
     apply nd_rule.
     apply RVar.
     Defined.
 
   Definition fToC1 {Γ}{Δ}{a}{s}{lev} :
-    ND Rule [] [ Γ > Δ > [        ] |- [a ---> s @@ lev ] ] ->
-    ND Rule [] [ Γ > Δ > [a @@ lev] |-       [ s @@ lev ] ].
+    ND Rule [] [ Γ > Δ > [        ] |- [a ---> s  ]@lev ] ->
+    ND Rule [] [ Γ > Δ > [a @@ lev] |-       [ s  ]@lev ].
     intro pf.
     eapply nd_comp.
     apply pf.
-    eapply nd_comp; [ idtac | eapply nd_rule; eapply RArrange; apply RCanL ].
+    eapply nd_comp; [ idtac | eapply nd_rule; eapply RArrange; apply ACanR ].
     apply curry.
     Defined.
 
   Definition fToC2 {Γ}{Δ}{a1}{a2}{s}{lev} :
-    ND Rule [] [ Γ > Δ >                       [] |- [a1 ---> (a2 ---> s) @@ lev ] ] ->
-    ND Rule [] [ Γ > Δ > [a1 @@ lev],,[a2 @@ lev] |-                 [ s @@ lev ] ].
+    ND Rule [] [ Γ > Δ >                       [] |- [a1 ---> (a2 ---> s)  ]@lev ] ->
+    ND Rule [] [ Γ > Δ > [a1 @@ lev],,[a2 @@ lev] |-                  [ s  ]@lev ].
     intro pf.
     eapply nd_comp.
     eapply pf.
@@ -265,7 +268,8 @@ Section core2proof.
     eapply nd_comp.
     eapply nd_rule.
     eapply RArrange.
-    eapply RCanL.
+    eapply ACanR.
+    eapply nd_comp; [ idtac | eapply nd_rule; eapply RArrange; eapply AExch ].
     apply curry.
     Defined.
 
@@ -279,6 +283,9 @@ Section core2proof.
     (uniqueSupply : UniqSupply)
     (lbinds:list (@CoreBind CoreVar))
     (hetmet_PGArrowTyCon : TyFun)
+    (hetmet_PGArrow_unit_TyCon : TyFun)
+    (hetmet_PGArrow_tensor_TyCon : TyFun)
+    (hetmet_PGArrow_exponent_TyCon : TyFun)
     (hetmet_pga_id : CoreVar)
     (hetmet_pga_comp : CoreVar)
     (hetmet_pga_first : CoreVar)
@@ -298,13 +305,24 @@ Section core2proof.
     (hetmet_pga_curryr : CoreVar)
     .
 
-    Definition ga_unit TV : RawHaskType TV ★ := @TyFunApp TV UnitTyCon nil         ★ TyFunApp_nil.
-    Definition ga_prod TV (a b:RawHaskType TV ★) : RawHaskType TV ★  :=
-      TApp (TApp (@TyFunApp TV PairTyCon nil _ TyFunApp_nil) a) b.
+
+    Definition ga_unit TV (ec:RawHaskType TV ECKind) : RawHaskType TV ★ :=
+      @TyFunApp TV hetmet_PGArrow_unit_TyCon (ECKind::nil) ★ (TyFunApp_cons _ _ ec TyFunApp_nil).
+
+    Definition ga_prod TV (ec:RawHaskType TV ECKind) (a b:RawHaskType TV ★) : RawHaskType TV ★  :=
+      (@TyFunApp TV
+        hetmet_PGArrow_tensor_TyCon
+        (ECKind::★ ::★ ::nil) ★
+        (TyFunApp_cons _ _ ec
+          (TyFunApp_cons _ _ a
+            (TyFunApp_cons _ _ b
+          TyFunApp_nil)))).
+
     Definition ga_type {TV}(a:RawHaskType TV ECKind)(b c:RawHaskType TV ★) : RawHaskType TV ★ :=
       TApp (TApp (TApp (@TyFunApp TV 
         hetmet_PGArrowTyCon
         nil _ TyFunApp_nil) a) b) c.
+
     Definition ga := @ga_mk ga_unit ga_prod (@ga_type).
 
     Definition ga_type' {Γ}(a:HaskType Γ ECKind)(b c:HaskType Γ ★) : HaskType Γ ★ :=
@@ -321,7 +339,7 @@ Section core2proof.
       Defined.
 
     Definition mkGlob2 {Γ}{Δ}{l}{κ₁}{κ₂}(cv:CoreVar)(f:HaskType Γ κ₁ -> HaskType Γ κ₂ -> HaskType Γ ★) x y
-      : ND Rule [] [ Γ > Δ > [] |- [f x y @@ l] ].
+      : ND Rule [] [ Γ > Δ > [] |- [f x y ]@l ].
       apply nd_rule.
       refine (@RGlobal Γ Δ l 
         {| glob_wv    := coreVarToWeakExprVarOrError cv
@@ -340,7 +358,7 @@ Section core2proof.
       Defined.
 
     Definition mkGlob3 {Γ}{Δ}{l}{κ₁}{κ₂}{κ₃}(cv:CoreVar)(f:HaskType Γ κ₁ -> HaskType Γ κ₂ -> HaskType Γ κ₃ -> HaskType Γ ★) x y z
-      : ND Rule [] [ Γ > Δ > [] |- [f x y z @@ l] ].
+      : ND Rule [] [ Γ > Δ > [] |- [f x y z ]@l ].
       apply nd_rule.
       refine (@RGlobal Γ Δ l 
         {| glob_wv    := coreVarToWeakExprVarOrError cv
@@ -360,7 +378,7 @@ Section core2proof.
       Defined.
 
     Definition mkGlob4 {Γ}{Δ}{l}{κ₁}{κ₂}{κ₃}{κ₄}(cv:CoreVar)(f:HaskType Γ κ₁ -> HaskType Γ κ₂ -> HaskType Γ κ₃ -> HaskType Γ κ₄ -> HaskType Γ ★) x y z q
-      : ND Rule [] [ Γ > Δ > [] |- [f x y z q @@ l] ].
+      : ND Rule [] [ Γ > Δ > [] |- [f x y z q ] @l].
       apply nd_rule.
       refine (@RGlobal Γ Δ l 
         {| glob_wv    := coreVarToWeakExprVarOrError cv
@@ -369,22 +387,22 @@ Section core2proof.
           |} (ICons _ _ x (ICons _ _ y (ICons _ _ z (ICons _ _ q INil))))).
       Defined.
 
-    Definition gat {Γ}(x:Tree ??(HaskType Γ ★))  := @ga_mk_tree ga_unit ga_prod _ x.
+    Definition gat {Γ} ec (x:Tree ??(HaskType Γ ★))  := @ga_mk_tree ga_unit ga_prod _ ec x.
 
     Instance my_ga : garrow ga_unit ga_prod (@ga_type) :=
-    { ga_id        := fun Γ Δ ec l a     => mkGlob2 hetmet_pga_id        (fun ec a => ga_type' ec a a) ec (gat a)
-    ; ga_cancelr   := fun Γ Δ ec l a     => mkGlob2 hetmet_pga_cancelr   (fun ec a => ga_type' ec _ a) ec (gat a)
-    ; ga_cancell   := fun Γ Δ ec l a     => mkGlob2 hetmet_pga_cancell   (fun ec a => ga_type' ec _ a) ec (gat a)
-    ; ga_uncancelr := fun Γ Δ ec l a     => mkGlob2 hetmet_pga_uncancelr (fun ec a => ga_type' ec a _) ec (gat a)
-    ; ga_uncancell := fun Γ Δ ec l a     => mkGlob2 hetmet_pga_uncancell (fun ec a => ga_type' ec a _) ec (gat a)
-    ; ga_assoc     := fun Γ Δ ec l a b c => mkGlob4 hetmet_pga_assoc     (fun ec a b c => ga_type' ec _ _) ec (gat a) (gat b) (gat c)
-    ; ga_unassoc   := fun Γ Δ ec l a b c => mkGlob4 hetmet_pga_unassoc   (fun ec a b c => ga_type' ec _ _) ec (gat a) (gat b) (gat c)
-    ; ga_swap      := fun Γ Δ ec l a b   => mkGlob3 hetmet_pga_swap      (fun ec a b => ga_type' ec _ _) ec (gat a) (gat b)
-    ; ga_drop      := fun Γ Δ ec l a     => mkGlob2 hetmet_pga_drop      (fun ec a => ga_type' ec _ _) ec (gat a)
-    ; ga_copy      := fun Γ Δ ec l a     => mkGlob2 hetmet_pga_copy      (fun ec a => ga_type' ec _ _) ec (gat a)
-    ; ga_first     := fun Γ Δ ec l a b x => fToC1 (mkGlob4 hetmet_pga_first (fun ec a b c => _) ec (gat a) (gat b) (gat x))
-    ; ga_second    := fun Γ Δ ec l a b x => fToC1 (mkGlob4 hetmet_pga_second (fun ec a b c => _) ec (gat a) (gat b) (gat x))
-    ; ga_comp      := fun Γ Δ ec l a b c => fToC2 (mkGlob4 hetmet_pga_comp (fun ec a b c => _) ec (gat a) (gat b) (gat c))
+    { ga_id        := fun Γ Δ ec l a     => mkGlob2 hetmet_pga_id        (fun ec a => ga_type' ec a a) ec (gat ec a)
+    ; ga_cancelr   := fun Γ Δ ec l a     => mkGlob2 hetmet_pga_cancelr   (fun ec a => ga_type' ec _ a) ec (gat ec a)
+    ; ga_cancell   := fun Γ Δ ec l a     => mkGlob2 hetmet_pga_cancell   (fun ec a => ga_type' ec _ a) ec (gat ec a)
+    ; ga_uncancelr := fun Γ Δ ec l a     => mkGlob2 hetmet_pga_uncancelr (fun ec a => ga_type' ec a _) ec (gat ec a)
+    ; ga_uncancell := fun Γ Δ ec l a     => mkGlob2 hetmet_pga_uncancell (fun ec a => ga_type' ec a _) ec (gat ec a)
+    ; ga_assoc     := fun Γ Δ ec l a b c => mkGlob4 hetmet_pga_assoc     (fun ec a b c => ga_type' ec _ _) ec (gat ec a) (gat ec b) (gat ec c)
+    ; ga_unassoc   := fun Γ Δ ec l a b c => mkGlob4 hetmet_pga_unassoc   (fun ec a b c => ga_type' ec _ _) ec (gat ec a) (gat ec b) (gat ec c)
+    ; ga_swap      := fun Γ Δ ec l a b   => mkGlob3 hetmet_pga_swap      (fun ec a b => ga_type' ec _ _) ec (gat ec a) (gat ec b)
+    ; ga_drop      := fun Γ Δ ec l a     => mkGlob2 hetmet_pga_drop      (fun ec a => ga_type' ec _ _) ec (gat ec a)
+    ; ga_copy      := fun Γ Δ ec l a     => mkGlob2 hetmet_pga_copy      (fun ec a => ga_type' ec _ _) ec (gat ec a)
+    ; ga_first     := fun Γ Δ ec l a b x => fToC1 (mkGlob4 hetmet_pga_first (fun ec a b c => _) ec (gat ec a) (gat ec b) (gat ec x))
+    ; ga_second    := fun Γ Δ ec l a b x => fToC1 (mkGlob4 hetmet_pga_second (fun ec a b c => _) ec (gat ec a) (gat ec b) (gat ec x))
+    ; ga_comp      := fun Γ Δ ec l a b c => fToC2 (mkGlob4 hetmet_pga_comp (fun ec a b c => _) ec (gat ec a) (gat ec b) (gat ec c))
 (*  ; ga_lit       := fun Γ Δ ec l a => nd_rule (RGlobal _ _ _ _ (coreVarToWeakExprVarOrError hetmet_pga_lit))*)
 (*  ; ga_curry     := fun Γ Δ ec l a => nd_rule (RGlobal _ _ _ _ (coreVarToWeakExprVarOrError hetmet_pga_curry))*)
 (*  ; ga_apply     := fun Γ Δ ec l a => nd_rule (RGlobal _ _ _ _ (coreVarToWeakExprVarOrError hetmet_pga_apply))*)
@@ -401,10 +419,10 @@ Section core2proof.
     Definition hetmet_unflatten'  := coreVarToWeakExprVarOrError hetmet_unflatten.
     Definition hetmet_flattened_id'  := coreVarToWeakExprVarOrError hetmet_flattened_id.
 
-    Definition coreToCoreExpr' (ce:@CoreExpr CoreVar) : ???(@CoreExpr CoreVar) :=
-      addErrorMessage ("input CoreSyn: " +++ toString ce)
-      (addErrorMessage ("input CoreType: " +++ toString (coreTypeOfCoreExpr ce)) (
-        coreExprToWeakExpr ce >>= fun we =>
+    Definition coreToCoreExpr' (cex:@CoreExpr CoreVar) : ???(@CoreExpr CoreVar) :=
+      addErrorMessage ("input CoreSyn: " +++ toString cex)
+      (addErrorMessage ("input CoreType: " +++ toString (coreTypeOfCoreExpr cex)) (
+        coreExprToWeakExpr cex >>= fun we =>
           addErrorMessage ("WeakExpr: " +++ toString we)
             ((addErrorMessage ("CoreType of WeakExpr: " +++ toString (coreTypeOfCoreExpr (weakExprToCoreExpr we)))
               ((weakTypeOfWeakExpr we) >>= fun t =>
@@ -414,10 +432,10 @@ Section core2proof.
                     ((weakExprToStrongExpr Γ Δ φ ψ ξ (fun _ => true) τ nil we) >>= fun e =>
 
                       (addErrorMessage ("HaskStrong...")
-                        (let haskProof := flatten_proof hetmet_flatten' hetmet_unflatten'
-                                            hetmet_flattened_id' my_ga (@expr2proof _ _ _ _ _ _ e)
+                        (let haskProof := skolemize_and_flatten_proof hetmet_flatten' hetmet_unflatten'
+                                            hetmet_flattened_id' my_ga (@expr2proof _ _ _ _ _ _ _ e)
                          in (* insert HaskProof-to-HaskProof manipulations here *)
-                         OK ((@proof2expr nat _ FreshNat _ _ _ _ (fun _ => Prelude_error "unbound unique") _ haskProof) O)
+                         OK ((@proof2expr nat _ FreshNat _ _ (flatten_type τ) nil _ (fun _ => Prelude_error "unbound unique") _ haskProof) O)
                          >>= fun e' =>
                            (snd e') >>= fun e'' =>
                          strongExprToWeakExpr hetmet_brak' hetmet_esc'
@@ -463,6 +481,9 @@ Section core2proof.
     (uniqueSupply : UniqSupply)
     (lbinds:list (@CoreBind CoreVar))
     (hetmet_PGArrowTyCon : TyFun)
+    (hetmet_PGArrow_unit_TyCon : TyFun)
+    (hetmet_PGArrow_tensor_TyCon : TyFun)
+    (hetmet_PGArrow_exponent_TyCon : TyFun)
     (hetmet_pga_id : CoreVar)
     (hetmet_pga_comp : CoreVar)
     (hetmet_pga_first : CoreVar)
@@ -488,6 +509,9 @@ Section core2proof.
        hetmet_flattened_id
        uniqueSupply 
        hetmet_PGArrowTyCon
+       hetmet_PGArrow_unit_TyCon
+       hetmet_PGArrow_tensor_TyCon
+(*       hetmet_PGArrow_exponent_TyCon*)
        hetmet_pga_id 
        hetmet_pga_comp 
        hetmet_pga_first 
@@ -507,6 +531,7 @@ Section core2proof.
        hetmet_pga_applyr 
        hetmet_pga_curryl 
        *)
+
        .
 
 End core2proof.