Require Import Coq.Lists.List.
Require Import Coq.Init.Specif.
Require Import HaskKinds.
-Require Import HaskCoreLiterals.
+Require Import HaskLiteralsAndTyCons.
Require Import HaskWeakTypes.
Require Import HaskWeakVars.
Require Import HaskWeak.
Require Import HaskWeakToCore.
Require Import HaskStrongTypes.
Require Import HaskStrong.
-Require Import HaskCoreTypes.
Require Import HaskCoreVars.
+(* can remove *)
+Require Import HaskStrongToWeak.
+
Open Scope string_scope.
Definition TyVarResolver Γ := forall wt:WeakTypeVar, ???(HaskTyVar Γ wt).
Definition CoVarResolver Γ Δ := forall wt:WeakCoerVar, ???(HaskCoVar Γ Δ).
apply h.
Defined.
-
-Variable Prelude_error : forall {A}, string -> A. Extract Inlined Constant Prelude_error => "Prelude.error".
-
(* information about a datacon/literal/default which is common to all instances of a branch with that tag *)
Section StrongAltCon.
Context (tc : TyCon)(dc:DataCon tc).
Definition mkStrongAltCon : @StrongAltCon tc.
refine
- {| sac_altcon := DataAlt dc
+ {| sac_altcon := WeakDataAlt dc
; sac_numCoerVars := length (dataConCoerKinds dc)
; sac_numExprVars := length (dataConFieldTypes dc)
; sac_ekinds := dataConExKinds dc
End StrongAltCon.
-Definition mkStrongAltConPlusJunk' (tc : TyCon)(alt:AltCon) : ???(@StrongAltConPlusJunk tc).
+Definition mkStrongAltConPlusJunk' (tc : TyCon)(alt:WeakAltCon) : ???(@StrongAltConPlusJunk tc).
destruct alt.
set (c:DataCon _) as dc.
set ((dataConTyCon c):TyCon) as tc' in *.
apply OK; refine {| sacpj_sac := {|
sac_ekinds := vec_nil ; sac_coercions := fun _ _ => vec_nil ; sac_types := fun _ _ => vec_nil
- ; sac_altcon := LitAlt h
+ ; sac_altcon := WeakLitAlt h
|} |}.
intro; intro φ; apply φ.
intro; intro; intro; intro ψ. simpl. unfold sac_Γ; simpl. unfold sac_Δ; simpl.
rewrite weakCK'_nil_inert. apply ψ.
apply OK; refine {| sacpj_sac := {|
sac_ekinds := vec_nil ; sac_coercions := fun _ _ => vec_nil ; sac_types := fun _ _ => vec_nil
- ; sac_altcon := DEFAULT |} |}.
+ ; sac_altcon := WeakDEFAULT |} |}.
intro; intro φ; apply φ.
intro; intro; intro; intro ψ. simpl. unfold sac_Γ; simpl. unfold sac_Δ; simpl.
rewrite weakCK'_nil_inert. apply ψ.
match wcv with weakCoerVar _ κ _ _ => κ end.
Coercion coVarKind : WeakCoerVar >-> Kind.
-Definition weakTypeToType'' : forall {Γ:TypeEnv}(φ:TyVarResolver Γ)(t:WeakType) κ, ???(HaskType Γ κ).
+Definition weakTypeToTypeOfKind : forall {Γ:TypeEnv}(φ:TyVarResolver Γ)(t:WeakType)(κ:Kind), ???(HaskType Γ κ).
intros.
set (weakTypeToType φ t) as wt.
destruct wt; try apply (Error error_message).
destruct h.
- matchThings κ κ0 "Kind mismatch in weakTypeToType'': ".
+ matchThings κ κ0 ("Kind mismatch in weakTypeToTypeOfKind in ").
subst.
apply OK.
apply h.
Fixpoint varsTypes {Γ}(t:Tree ??(WeakExprVar * WeakExpr))(φ:TyVarResolver Γ) : Tree ??(CoreVar * HaskType Γ ★) :=
match t with
| T_Leaf None => []
- | T_Leaf (Some (wev,e)) => match weakTypeToType'' φ wev ★ with
- | Error _ => []
+ | T_Leaf (Some (wev,e)) => match weakTypeToTypeOfKind φ wev ★ with
| OK t' => [((wev:CoreVar),t')]
+ | _ => []
end
| T_Branch b1 b2 => (varsTypes b1 φ),,(varsTypes b2 φ)
end.
-
Fixpoint mkAvars {Γ}(wtl:list WeakType)(lk:list Kind)(φ:TyVarResolver Γ) : ???(IList Kind (HaskType Γ) lk) :=
match lk as LK return ???(IList Kind (HaskType Γ) LK) with
| nil => match wtl with
| k::lk' => match wtl with
| nil => Error "length mismatch in mkAvars"
| wt::wtl' =>
- weakTypeToType'' φ wt k >>= fun t =>
+ weakTypeToTypeOfKind φ wt k >>= fun t =>
mkAvars wtl' lk' φ >>= fun rest =>
OK (ICons _ _ t rest)
end
end.
+Fixpoint update_ig (ig:CoreVar -> bool) (vars:list CoreVar) : CoreVar -> bool :=
+ match vars with
+ | nil => ig
+ | v::vars' =>
+ fun v' =>
+ if eqd_dec v v'
+ then false
+ else update_ig ig vars' v'
+ end.
+
+(* does the specified variable occur free in the expression? *)
+Fixpoint doesWeakVarOccur (wev:WeakExprVar)(me:WeakExpr) : bool :=
+ match me with
+ | WELit _ => false
+ | WEVar cv => if eqd_dec (wev:CoreVar) (cv:CoreVar) then true else false
+ | WECast e co => doesWeakVarOccur wev e
+ | WENote n e => doesWeakVarOccur wev e
+ | WETyApp e t => doesWeakVarOccur wev e
+ | WECoApp e co => doesWeakVarOccur wev e
+ | WEBrak _ ec e _ => doesWeakVarOccur wev e
+ | WEEsc _ ec e _ => doesWeakVarOccur wev e
+ | WECSP _ ec e _ => doesWeakVarOccur wev e
+ | WELet cv e1 e2 => doesWeakVarOccur wev e1 || (if eqd_dec (wev:CoreVar) (cv:CoreVar)then false else doesWeakVarOccur wev e2)
+ | WEApp e1 e2 => doesWeakVarOccur wev e1 || doesWeakVarOccur wev e2
+ | WELam cv e => if eqd_dec (wev:CoreVar) (cv:CoreVar) then false else doesWeakVarOccur wev e
+ | WETyLam cv e => doesWeakVarOccur wev e
+ | WECoLam cv e => doesWeakVarOccur wev e
+ | WECase vscrut escrut tbranches tc avars alts =>
+ doesWeakVarOccur wev escrut ||
+ if eqd_dec (wev:CoreVar) (vscrut:CoreVar) then false else
+ ((fix doesWeakVarOccurAlts alts {struct alts} : bool :=
+ match alts with
+ | T_Leaf None => false
+ | T_Leaf (Some (WeakDEFAULT,_,_,_,e)) => doesWeakVarOccur wev e
+ | T_Leaf (Some (WeakLitAlt lit,_,_,_,e)) => doesWeakVarOccur wev e
+ | T_Leaf (Some ((WeakDataAlt dc), tvars, cvars, evars,e)) => doesWeakVarOccur wev e (* FIXME!!! *)
+ | T_Branch b1 b2 => doesWeakVarOccurAlts b1 || doesWeakVarOccurAlts b2
+ end) alts)
+ | WELetRec mlr e =>
+ doesWeakVarOccur wev e ||
+ (fix doesWeakVarOccurLetRec (mlr:Tree ??(WeakExprVar * WeakExpr)) : bool :=
+ match mlr with
+ | T_Leaf None => false
+ | T_Leaf (Some (cv,e)) => if eqd_dec (wev:CoreVar) (cv:CoreVar) then false else doesWeakVarOccur wev e
+ | T_Branch b1 b2 => doesWeakVarOccurLetRec b1 || doesWeakVarOccurLetRec b2
+ end) mlr
+ end.
+Fixpoint doesWeakVarOccurAlts (wev:WeakExprVar)
+ (alts:Tree ??(WeakAltCon * list WeakTypeVar * list WeakCoerVar * list WeakExprVar * WeakExpr)) : bool :=
+ match alts with
+ | T_Leaf None => false
+ | T_Leaf (Some (WeakDEFAULT,_,_,_,e)) => doesWeakVarOccur wev e
+ | T_Leaf (Some (WeakLitAlt lit,_,_,_,e)) => doesWeakVarOccur wev e
+ | T_Leaf (Some ((WeakDataAlt dc), tvars, cvars, evars,e)) => doesWeakVarOccur wev e (* FIXME!!! *)
+ | T_Branch b1 b2 => doesWeakVarOccurAlts wev b1 || doesWeakVarOccurAlts wev b2
+ end.
+
+(*Definition ensureCaseBindersAreNotUsed (we:WeakExpr) : UniqM WeakExpr := FIXME *)
+
Definition weakExprToStrongExpr : forall
(Γ:TypeEnv)
(Δ:CoercionEnv Γ)
(φ:TyVarResolver Γ)
(ψ:CoVarResolver Γ Δ)
(ξ:CoreVar -> LeveledHaskType Γ ★)
+ (ig:CoreVar -> bool)
(τ:HaskType Γ ★)
(lev:HaskLevel Γ),
WeakExpr -> ???(@Expr _ CoreVarEqDecidable Γ Δ ξ (τ @@ lev) ).
(φ:TyVarResolver Γ)
(ψ:CoVarResolver Γ Δ)
(ξ:CoreVar -> LeveledHaskType Γ ★)
+ (ig:CoreVar -> bool)
(τ:HaskType Γ ★)
(lev:HaskLevel Γ)
(we:WeakExpr) : ???(@Expr _ CoreVarEqDecidable Γ Δ ξ (τ @@ lev) ) :=
+ addErrorMessage ("in weakExprToStrongExpr " +++ we)
match we with
- | WEVar v => castExpr we ("WEVar "+++(v:CoreVar)) (τ @@ lev) (EVar Γ Δ ξ v)
+ | WEVar v => if ig v
+ then OK (EGlobal Γ Δ ξ (τ@@lev) v)
+ else castExpr we ("WEVar "+++(v:CoreVar)) (τ @@ lev) (EVar Γ Δ ξ v)
| WELit lit => castExpr we ("WELit "+++lit) (τ @@ lev) (ELit Γ Δ ξ lit lev)
- | WELam ev ebody => weakTypeToType'' φ ev ★ >>= fun tv =>
+ | WELam ev ebody => weakTypeToTypeOfKind φ ev ★ >>= fun tv =>
weakTypeOfWeakExpr ebody >>= fun tbody =>
- weakTypeToType'' φ tbody ★ >>= fun tbody' =>
+ weakTypeToTypeOfKind φ tbody ★ >>= fun tbody' =>
let ξ' := update_ξ ξ (((ev:CoreVar),tv@@lev)::nil) in
- weakExprToStrongExpr Γ Δ φ ψ ξ' tbody' lev ebody >>= fun ebody' =>
+ let ig' := update_ig ig ((ev:CoreVar)::nil) in
+ weakExprToStrongExpr Γ Δ φ ψ ξ' ig' tbody' lev ebody >>= fun ebody' =>
castExpr we "WELam" (τ@@lev) (ELam Γ Δ ξ tv tbody' lev ev ebody')
| WEBrak _ ec e tbody => φ (`ec) >>= fun ec' =>
- weakTypeToType'' φ tbody ★ >>= fun tbody' =>
- weakExprToStrongExpr Γ Δ φ ψ ξ tbody' ((ec')::lev) e >>= fun e' =>
+ weakTypeToTypeOfKind φ tbody ★ >>= fun tbody' =>
+ weakExprToStrongExpr Γ Δ φ ψ ξ ig tbody' ((ec')::lev) e >>= fun e' =>
castExpr we "WEBrak" (τ@@lev) (EBrak Γ Δ ξ ec' tbody' lev e')
| WEEsc _ ec e tbody => φ ec >>= fun ec'' =>
- weakTypeToType'' φ tbody ★ >>= fun tbody' =>
+ weakTypeToTypeOfKind φ tbody ★ >>= fun tbody' =>
match lev with
| nil => Error "ill-leveled escapification"
- | ec'::lev' => weakExprToStrongExpr Γ Δ φ ψ ξ (<[ ec' |- tbody' ]>) lev' e
+ | ec'::lev' => weakExprToStrongExpr Γ Δ φ ψ ξ ig (<[ ec' |- tbody' ]>) lev' e
>>= fun e' => castExpr we "WEEsc" (τ@@lev) (EEsc Γ Δ ξ ec' tbody' lev' e')
end
- | WENote n e => weakExprToStrongExpr Γ Δ φ ψ ξ τ lev e >>= fun e' => OK (ENote _ _ _ _ n e')
+ | WECSP _ ec e tbody => Error "FIXME: CSP not supported beyond HaskWeak stage"
- | WELet v ve ebody => weakTypeToType'' φ v ★ >>= fun tv =>
- weakExprToStrongExpr Γ Δ φ ψ ξ tv lev ve >>= fun ve' =>
- weakExprToStrongExpr Γ Δ φ ψ (update_ξ ξ (((v:CoreVar),tv@@lev)::nil)) τ lev ebody
+ | WENote n e => weakExprToStrongExpr Γ Δ φ ψ ξ ig τ lev e >>= fun e' => OK (ENote _ _ _ _ n e')
+
+ | WELet v ve ebody => weakTypeToTypeOfKind φ v ★ >>= fun tv =>
+ weakExprToStrongExpr Γ Δ φ ψ ξ ig tv lev ve >>= fun ve' =>
+ weakExprToStrongExpr Γ Δ φ ψ (update_ξ ξ (((v:CoreVar),tv@@lev)::nil))
+ (update_ig ig ((v:CoreVar)::nil)) τ lev ebody
>>= fun ebody' =>
OK (ELet _ _ _ tv _ lev (v:CoreVar) ve' ebody')
| WEApp e1 e2 => weakTypeOfWeakExpr e2 >>= fun t2 =>
- weakTypeToType'' φ t2 ★ >>= fun t2' =>
- weakExprToStrongExpr Γ Δ φ ψ ξ t2' lev e2 >>= fun e2' =>
- weakExprToStrongExpr Γ Δ φ ψ ξ (t2'--->τ) lev e1 >>= fun e1' =>
+ weakTypeToTypeOfKind φ t2 ★ >>= fun t2' =>
+ weakExprToStrongExpr Γ Δ φ ψ ξ ig t2' lev e2 >>= fun e2' =>
+ weakExprToStrongExpr Γ Δ φ ψ ξ ig (t2'--->τ) lev e1 >>= fun e1' =>
OK (EApp _ _ _ _ _ _ e1' e2')
| WETyLam tv e => let φ' := upφ tv φ in
weakTypeOfWeakExpr e >>= fun te =>
- weakTypeToType'' φ' te ★ >>= fun τ' =>
+ weakTypeToTypeOfKind φ' te ★ >>= fun τ' =>
weakExprToStrongExpr _ (weakCE Δ) φ'
- (fun x => (ψ x) >>= fun y => OK (weakCV y)) (weakLT○ξ) τ' (weakL lev) e
- >>= fun e' =>
- castExpr we "WETyLam1" _ e' >>= fun e'' =>
- castExpr we "WETyLam2" _ (ETyLam Γ Δ ξ tv (mkTAll' τ') lev e'')
+ (fun x => (ψ x) >>= fun y => OK (weakCV y)) (weakLT○ξ) ig _ (weakL lev) e
+ >>= fun e' => castExpr we "WETyLam2" _ (ETyLam Γ Δ ξ tv (mkTAll' τ') lev e')
| WETyApp e t => weakTypeOfWeakExpr e >>= fun te =>
match te with
| WForAllTy wtv te' =>
let φ' := upφ wtv φ in
- weakTypeToType'' φ' te' ★ >>= fun te'' =>
- weakExprToStrongExpr Γ Δ φ ψ ξ (mkTAll te'') lev e >>= fun e' =>
- weakTypeToType'' φ t (wtv:Kind) >>= fun t' =>
+ weakTypeToTypeOfKind φ' te' ★ >>= fun te'' =>
+ weakExprToStrongExpr Γ Δ φ ψ ξ ig (mkTAll te'') lev e >>= fun e' =>
+ weakTypeToTypeOfKind φ t (wtv:Kind) >>= fun t' =>
castExpr we "WETyApp" _ (ETyApp Γ Δ wtv (mkTAll' te'') t' ξ lev e')
| _ => Error ("weakTypeToType: WETyApp body with type "+++te)
end
weakTypeToType φ t1 >>= fun t1' =>
match t1' with
haskTypeOfSomeKind κ t1'' =>
- weakTypeToType'' φ t2 κ >>= fun t2'' =>
- weakTypeToType'' φ t3 ★ >>= fun t3'' =>
- weakExprToStrongExpr Γ Δ φ ψ ξ (t1'' ∼∼ t2'' ⇒ τ) lev e >>= fun e' =>
+ weakTypeToTypeOfKind φ t2 κ >>= fun t2'' =>
+ weakTypeToTypeOfKind φ t3 ★ >>= fun t3'' =>
+ weakExprToStrongExpr Γ Δ φ ψ ξ ig (t1'' ∼∼ t2'' ⇒ τ) lev e >>= fun e' =>
castExpr we "WECoApp" _ e' >>= fun e'' =>
OK (ECoApp Γ Δ κ t1'' t2''
(weakCoercionToHaskCoercion _ _ _ co) τ ξ lev e'')
| WECoLam cv e => let (_,_,t1,t2) := cv in
weakTypeOfWeakExpr e >>= fun te =>
- weakTypeToType'' φ te ★ >>= fun te' =>
- weakTypeToType'' φ t1 cv >>= fun t1' =>
- weakTypeToType'' φ t2 cv >>= fun t2' =>
- weakExprToStrongExpr Γ (_ :: Δ) φ (weakψ ψ) ξ te' lev e >>= fun e' =>
+ weakTypeToTypeOfKind φ te ★ >>= fun te' =>
+ weakTypeToTypeOfKind φ t1 cv >>= fun t1' =>
+ weakTypeToTypeOfKind φ t2 cv >>= fun t2' =>
+ weakExprToStrongExpr Γ (_ :: Δ) φ (weakψ ψ) ξ ig te' lev e >>= fun e' =>
castExpr we "WECoLam" _ (ECoLam Γ Δ cv te' t1' t2' ξ lev e')
| WECast e co => let (t1,t2) := weakCoercionTypes co in
- weakTypeToType'' φ t1 ★ >>= fun t1' =>
- weakTypeToType'' φ t2 ★ >>= fun t2' =>
- weakExprToStrongExpr Γ Δ φ ψ ξ t1' lev e >>= fun e' =>
+ weakTypeToTypeOfKind φ t1 ★ >>= fun t1' =>
+ weakTypeToTypeOfKind φ t2 ★ >>= fun t2' =>
+ weakExprToStrongExpr Γ Δ φ ψ ξ ig t1' lev e >>= fun e' =>
castExpr we "WECast" _
(ECast Γ Δ ξ t1' t2' (weakCoercionToHaskCoercion _ _ _ co) lev e')
| WELetRec rb e =>
- let ξ' := update_ξ ξ (map (fun x => ((fst x),(snd x @@ lev))) _)
- in let binds :=
+ let ξ' := update_ξ ξ (map (fun x => ((fst x),(snd x @@ lev))) _) in
+ let ig' := update_ig ig (map (fun x:(WeakExprVar*_) => (fst x):CoreVar) (leaves rb)) in
+ let binds :=
(fix binds (t:Tree ??(WeakExprVar * WeakExpr))
: ???(ELetRecBindings Γ Δ ξ' lev (varsTypes t φ)) :=
match t with
| T_Leaf None => let case_nil := tt in OK (ELR_nil _ _ _ _)
- | T_Leaf (Some (wev,e)) => let case_some := tt in (fun e' => _) (fun τ => weakExprToStrongExpr Γ Δ φ ψ ξ' τ lev e)
+ | T_Leaf (Some (wev,e)) => let case_some := tt in (fun e' => _) (fun τ => weakExprToStrongExpr Γ Δ φ ψ ξ' ig' τ lev e)
| T_Branch b1 b2 =>
binds b1 >>= fun b1' =>
binds b2 >>= fun b2' =>
OK (ELR_branch Γ Δ ξ' lev _ _ b1' b2')
end) rb
in binds >>= fun binds' =>
- weakExprToStrongExpr Γ Δ φ ψ ξ' τ lev e >>= fun e' =>
+ weakExprToStrongExpr Γ Δ φ ψ ξ' ig' τ lev e >>= fun e' =>
OK (ELetRec Γ Δ ξ lev τ _ binds' e')
- | WECase vscrut ve tbranches tc avars alts =>
- weakTypeToType'' φ (vscrut:WeakType) ★ >>= fun tv =>
- weakExprToStrongExpr Γ Δ φ ψ ξ tv lev ve >>= fun ve' =>
- let ξ' := update_ξ ξ (((vscrut:CoreVar),tv@@lev)::nil) in
- mkAvars avars (tyConKind tc) φ >>= fun avars' =>
- weakTypeToType'' φ tbranches ★ >>= fun tbranches' =>
- (fix mkTree (t:Tree ??(AltCon*list WeakTypeVar*list WeakCoerVar*list WeakExprVar*WeakExpr)) : ???(Tree
+ | WECase vscrut escrut tbranches tc avars alts =>
+ weakTypeOfWeakExpr escrut >>= fun tscrut =>
+ weakTypeToTypeOfKind φ tscrut ★ >>= fun tscrut' =>
+ if doesWeakVarOccurAlts vscrut alts
+ then Error "encountered a Case which actually used its binder - these should have been desugared away!!"
+ else mkAvars avars (tyConKind tc) φ >>= fun avars' =>
+ weakTypeToTypeOfKind φ tbranches ★ >>= fun tbranches' =>
+ (fix mkTree (t:Tree ??(WeakAltCon*list WeakTypeVar*list WeakCoerVar*list WeakExprVar*WeakExpr)) : ???(Tree
??{scb : StrongCaseBranchWithVVs CoreVar CoreVarEqDecidable tc avars' &
- Expr (sac_Γ scb Γ) (sac_Δ scb Γ avars' (weakCK'' Δ))(scbwv_ξ scb ξ' lev)(weakLT' (tbranches' @@ lev))}) :=
+ Expr (sac_Γ scb Γ) (sac_Δ scb Γ avars' (weakCK'' Δ))(scbwv_ξ scb ξ lev)(weakLT' (tbranches' @@ lev))}) :=
match t with
| T_Leaf None => OK []
| T_Leaf (Some (ac,extyvars,coervars,exprvars,ebranch)) =>
let scb := @Build_StrongCaseBranchWithVVs CoreVar CoreVarEqDecidable tc Γ avars' sac exprvars' in
weakExprToStrongExpr (sac_Γ scb Γ) (sac_Δ scb Γ avars' (weakCK'' Δ)) (sacpj_φ sac _ φ)
(sacpj_ψ sac _ _ avars' ψ)
- (scbwv_ξ scb ξ' lev) (weakT' tbranches') (weakL' lev) ebranch >>= fun ebranch' =>
+ (scbwv_ξ scb ξ lev)
+ (update_ig ig (map (@fst _ _) (vec2list (scbwv_varstypes scb))))
+ (weakT' tbranches') (weakL' lev) ebranch >>= fun ebranch' =>
let case_case := tt in OK [ _ ]
| T_Branch b1 b2 =>
mkTree b1 >>= fun b1' =>
mkTree b2 >>= fun b2' =>
OK (b1',,b2')
end) alts >>= fun tree =>
- castExpr we "ECaseScrut" _ (EVar Γ Δ ξ' vscrut) >>= fun escrut =>
- castExpr we "ECase" _ (ECase Γ Δ ξ' lev tc tbranches' avars' escrut tree)
- >>= fun ecase' => OK (ELet _ _ _ tv _ lev (vscrut:CoreVar) ve' ecase')
-
-
+ weakExprToStrongExpr Γ Δ φ ψ ξ ig (caseType tc avars') lev escrut >>= fun escrut' =>
+ castExpr we "ECase" (τ@@lev) (ECase Γ Δ ξ lev tc tbranches' avars' escrut' tree)
end)).
destruct case_some.
apply (addErrorMessage "case_some").
simpl.
- destruct (weakTypeToType'' φ wev ★); try apply (Error error_message).
+ destruct (weakTypeToTypeOfKind φ wev ★); try apply (Error error_message).
matchThings h (unlev (ξ' wev)) "LetRec".
destruct wev.
rewrite matchTypeVars_pf.