Require Import General.
Require Import NaturalDeduction.
+Require Import NaturalDeductionContext.
Require Import HaskKinds.
Require Import HaskLiterals.
Variable mkTyVar : Name -> Kind -> CoreVar.
Extract Inlined Constant mkTyVar => "(\n k -> Var.mkTyVar n (kindToCoreKind k))".
Variable mkCoVar : Name -> CoreType -> CoreType -> CoreVar.
- Extract Inlined Constant mkCoVar => "(\n t1 t2 -> Var.mkCoVar n (Coercion.mkCoKind t1 t2))".
+ Extract Inlined Constant mkCoVar => "(\n t1 t2 -> Var.mkCoVar n (Coercion.mkCoType t1 t2))".
Variable mkExVar : Name -> CoreType -> CoreVar.
Extract Inlined Constant mkExVar => "Id.mkLocalId".
+Variable CoreM : Type -> Type.
+ Extract Constant CoreM "a" => "CoreMonad.CoreM".
+ Extraction Inline CoreM.
+Variable CoreMreturn : forall a, a -> CoreM a.
+ Extraction Implicit CoreMreturn [a].
+ Implicit Arguments CoreMreturn [[a]].
+ Extract Inlined Constant CoreMreturn => "Prelude.return".
+Variable CoreMbind : forall a b, CoreM a -> (a -> CoreM b) -> CoreM b.
+ Extraction Implicit CoreMbind [a b].
+ Implicit Arguments CoreMbind [[a] [b]].
+ Extract Inlined Constant CoreMbind => "(Prelude.>>=)".
+
Section core2proof.
Context (ce:@CoreExpr CoreVar).
(* We need to be able to resolve unbound exprvars, but we can be sure their types will have no
* free tyvars in them *)
Definition ξ (cv:CoreVar) : LeveledHaskType Γ ★ :=
- match coreVarToWeakVar cv with
- | WExprVar wev => match weakTypeToTypeOfKind φ wev ★ with
+ match coreVarToWeakVar' cv with
+ | OK (WExprVar wev) => match weakTypeToTypeOfKind φ wev ★ with
| Error s => Prelude_error ("Error converting weakType of top-level variable "+++
toString cv+++": " +++ s)
| OK t => t @@ nil
end
- | WTypeVar _ => Prelude_error "top-level xi got a type variable"
- | WCoerVar _ => Prelude_error "top-level xi got a coercion variable"
+ | OK (WTypeVar _) => Prelude_error "top-level xi got a type variable"
+ | OK (WCoerVar _) => Prelude_error "top-level xi got a coercion variable"
+ | Error s => Prelude_error s
end.
Definition header : string :=
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)
)))))))).
Context (hetmet_brak : WeakExprVar).
Context (hetmet_esc : WeakExprVar).
- Context (hetmet_flatten : WeakExprVar).
- Context (hetmet_unflatten : WeakExprVar).
- Context (hetmet_flattened_id : WeakExprVar).
Context (uniqueSupply : UniqSupply).
Definition useUniqueSupply {T}(ut:UniqM T) : ???T :=
End CoreToCore.
Definition coreVarToWeakExprVarOrError cv :=
- match coreVarToWeakVar cv with
- | WExprVar wv => wv
+ match addErrorMessage ("in coreVarToWeakExprVarOrError" +++ eol) (coreVarToWeakVar' cv) with
+ | OK (WExprVar wv) => wv
+ | Error s => Prelude_error s
| _ => Prelude_error "IMPOSSIBLE"
end.
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; eapply RArrange; apply RExch ].
- eapply nd_comp; [ idtac | eapply nd_rule; apply (@RApp Γ Δ [a@@lev] Σ a s lev) ].
- eapply nd_comp; [ apply nd_llecnac | idtac ].
+ [ 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_id.
apply nd_rule.
apply RVar.
- apply nd_id.
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.
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.
Section coqPassCoreToCore.
Context
+ (do_flatten : bool)
+ (do_skolemize : bool)
(hetmet_brak : CoreVar)
(hetmet_esc : CoreVar)
- (hetmet_flatten : CoreVar)
- (hetmet_unflatten : CoreVar)
- (hetmet_flattened_id : CoreVar)
(uniqueSupply : UniqSupply)
(lbinds:list (@CoreBind CoreVar))
(hetmet_PGArrowTyCon : TyFun)
(hetmet_pga_applyr : CoreVar)
(hetmet_pga_curryl : CoreVar)
(hetmet_pga_curryr : CoreVar)
+ (hetmet_pga_loopl : CoreVar)
+ (hetmet_pga_loopr : CoreVar)
.
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
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
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
(* ; 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))*)
(* ; ga_kappa := fun Γ Δ ec l a => fToC1 (nd_rule (RGlobal _ _ _ _ (coreVarToWeakExprVarOrError hetmet_pga_kappa)))*)
+ ; ga_loopl := fun Γ Δ ec l a b x => fToC1 (mkGlob4 hetmet_pga_loopl (fun ec a b c => _) ec (gat ec a) (gat ec b) (gat ec x))
+ ; ga_loopr := fun Γ Δ ec l a b x => fToC1 (mkGlob4 hetmet_pga_loopr (fun ec a b c => _) ec (gat ec a) (gat ec b) (gat ec x))
; ga_lit := fun Γ Δ ec l a => Prelude_error "ga_lit"
; ga_curry := fun Γ Δ ec l a b c => Prelude_error "ga_curry"
; ga_apply := fun Γ Δ ec l a b c => Prelude_error "ga_apply"
Definition hetmet_brak' := coreVarToWeakExprVarOrError hetmet_brak.
Definition hetmet_esc' := coreVarToWeakExprVarOrError hetmet_esc.
- Definition hetmet_flatten' := coreVarToWeakExprVarOrError hetmet_flatten.
- 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 =>
((weakExprToStrongExpr Γ Δ φ ψ ξ (fun _ => true) τ nil we) >>= fun e =>
(addErrorMessage ("HaskStrong...")
- (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)
- >>= fun e' =>
- (snd e') >>= fun e'' =>
- strongExprToWeakExpr hetmet_brak' hetmet_esc'
- mkWeakTypeVar mkWeakCoerVar mkWeakExprVar uniqueSupply
- (projT2 e'') INil
- >>= fun q =>
- OK (weakExprToCoreExpr q)
- )))))))))).
+ (if do_skolemize
+ then
+ (let haskProof := skolemize_and_flatten_proof my_ga (@expr2proof _ _ _ _ _ _ _ e)
+ in (* insert HaskProof-to-HaskProof manipulations here *)
+ 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'
+ mkWeakTypeVar mkWeakCoerVar mkWeakExprVar uniqueSupply
+ (projT2 e'') INil
+ >>= fun q => OK (weakExprToCoreExpr q))
+ else (if do_flatten
+ then
+ (let haskProof := flatten_proof (@expr2proof _ _ _ _ _ _ _ e)
+ in (* insert HaskProof-to-HaskProof manipulations here *)
+ OK ((@proof2expr nat _ FreshNat _ _ τ nil _
+ (fun _ => Prelude_error "unbound unique") _ haskProof) O)
+ >>= fun e' => (snd e') >>= fun e'' =>
+ strongExprToWeakExpr hetmet_brak' hetmet_esc'
+ mkWeakTypeVar mkWeakCoerVar mkWeakExprVar uniqueSupply
+ (projT2 e'') INil
+ >>= fun q => OK (weakExprToCoreExpr q))
+ else
+ (let haskProof := @expr2proof _ _ _ _ _ _ _ e
+ in (* insert HaskProof-to-HaskProof manipulations here *)
+ OK ((@proof2expr nat _ FreshNat _ _ τ nil _
+ (fun _ => Prelude_error "unbound unique") _ haskProof) O)
+ >>= fun e' => (snd e') >>= fun e'' =>
+ strongExprToWeakExpr hetmet_brak' hetmet_esc'
+ mkWeakTypeVar mkWeakCoerVar mkWeakExprVar uniqueSupply
+ (projT2 e'') INil
+ >>= fun q => OK (weakExprToCoreExpr q))))
+ ))))))))).
Definition coreToCoreExpr (ce:@CoreExpr CoreVar) : (@CoreExpr CoreVar) :=
match coreToCoreExpr' ce with
End coqPassCoreToCore.
+ Notation "a >>= b" := (@CoreMbind _ _ a b).
+
Definition coqPassCoreToCore
- (hetmet_brak : CoreVar)
- (hetmet_esc : CoreVar)
- (hetmet_flatten : CoreVar)
- (hetmet_unflatten : CoreVar)
- (hetmet_flattened_id : CoreVar)
+ (do_flatten : bool)
+ (do_skolemize : bool)
+ (dsLookupVar : string -> string -> CoreM CoreVar)
+ (dsLookupTyc : string -> string -> CoreM TyFun)
(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)
- (hetmet_pga_second : CoreVar)
- (hetmet_pga_cancell : CoreVar)
- (hetmet_pga_cancelr : CoreVar)
- (hetmet_pga_uncancell : CoreVar)
- (hetmet_pga_uncancelr : CoreVar)
- (hetmet_pga_assoc : CoreVar)
- (hetmet_pga_unassoc : CoreVar)
- (hetmet_pga_copy : CoreVar)
- (hetmet_pga_drop : CoreVar)
- (hetmet_pga_swap : CoreVar)
- (hetmet_pga_applyl : CoreVar)
- (hetmet_pga_applyr : CoreVar)
- (hetmet_pga_curryl : CoreVar)
- (hetmet_pga_curryr : CoreVar) : list (@CoreBind CoreVar) :=
- coqPassCoreToCore'
+ (lbinds : list (@CoreBind CoreVar))
+ : CoreM (list (@CoreBind CoreVar)) :=
+ dsLookupVar "GHC.HetMet.CodeTypes" "hetmet_brak" >>= fun hetmet_brak =>
+ dsLookupVar "GHC.HetMet.CodeTypes" "hetmet_esc" >>= fun hetmet_esc =>
+ dsLookupTyc "GHC.HetMet.Private" "PGArrow" >>= fun hetmet_PGArrow =>
+ dsLookupTyc "GHC.HetMet.GArrow" "GArrowUnit" >>= fun hetmet_PGArrow_unit =>
+ dsLookupTyc "GHC.HetMet.GArrow" "GArrowTensor" >>= fun hetmet_PGArrow_tensor =>
+ dsLookupTyc "GHC.HetMet.GArrow" "GArrowExponent" >>= fun hetmet_PGArrow_exponent =>
+ dsLookupVar "GHC.HetMet.Private" "pga_id" >>= fun hetmet_pga_id =>
+ dsLookupVar "GHC.HetMet.Private" "pga_comp" >>= fun hetmet_pga_comp =>
+ dsLookupVar "GHC.HetMet.Private" "pga_first" >>= fun hetmet_pga_first =>
+ dsLookupVar "GHC.HetMet.Private" "pga_second" >>= fun hetmet_pga_second =>
+ dsLookupVar "GHC.HetMet.Private" "pga_cancell" >>= fun hetmet_pga_cancell =>
+ dsLookupVar "GHC.HetMet.Private" "pga_cancelr" >>= fun hetmet_pga_cancelr =>
+ dsLookupVar "GHC.HetMet.Private" "pga_uncancell" >>= fun hetmet_pga_uncancell =>
+ dsLookupVar "GHC.HetMet.Private" "pga_uncancelr" >>= fun hetmet_pga_uncancelr =>
+ dsLookupVar "GHC.HetMet.Private" "pga_assoc" >>= fun hetmet_pga_assoc =>
+ dsLookupVar "GHC.HetMet.Private" "pga_unassoc" >>= fun hetmet_pga_unassoc =>
+ dsLookupVar "GHC.HetMet.Private" "pga_copy" >>= fun hetmet_pga_copy =>
+ dsLookupVar "GHC.HetMet.Private" "pga_drop" >>= fun hetmet_pga_drop =>
+ dsLookupVar "GHC.HetMet.Private" "pga_swap" >>= fun hetmet_pga_swap =>
+ dsLookupVar "GHC.HetMet.Private" "pga_applyl" >>= fun hetmet_pga_applyl =>
+ dsLookupVar "GHC.HetMet.Private" "pga_applyr" >>= fun hetmet_pga_applyr =>
+ dsLookupVar "GHC.HetMet.Private" "pga_curryl" >>= fun hetmet_pga_curryl =>
+ dsLookupVar "GHC.HetMet.Private" "pga_curryr" >>= fun hetmet_pga_curryr =>
+ dsLookupVar "GHC.HetMet.Private" "pga_loopl" >>= fun hetmet_pga_loopl =>
+ dsLookupVar "GHC.HetMet.Private" "pga_loopr" >>= fun hetmet_pga_loopr =>
+
+ CoreMreturn
+ (coqPassCoreToCore'
+ do_flatten
+ do_skolemize
hetmet_brak
hetmet_esc
- hetmet_flatten
- hetmet_unflatten
- hetmet_flattened_id
uniqueSupply
- hetmet_PGArrowTyCon
- hetmet_PGArrow_unit_TyCon
- hetmet_PGArrow_tensor_TyCon
+ hetmet_PGArrow
+ hetmet_PGArrow_unit
+ hetmet_PGArrow_tensor
(* hetmet_PGArrow_exponent_TyCon*)
hetmet_pga_id
hetmet_pga_comp
hetmet_pga_copy
hetmet_pga_drop
hetmet_pga_swap
+ hetmet_pga_loopl
+ hetmet_pga_loopr
lbinds
(*
hetmet_pga_applyl
hetmet_pga_applyr
hetmet_pga_curryl
*)
-
+ )
.
End core2proof.
projects / coq-hetmet.git / blobdiff