X-Git-Url: http://git.megacz.com/?p=coq-hetmet.git;a=blobdiff_plain;f=src%2FHaskFlattener.v;h=a5f42618b89ea2de829e7cb8e842ee82870c7510;hp=ed3ca43acecec90c19fecc6906126e1cc09426a5;hb=bebffa435dbc5afd126f6972fbf220977455854d;hpb=013a93a8fbae4b8c8df290e9eff226f786770762 diff --git a/src/HaskFlattener.v b/src/HaskFlattener.v index ed3ca43..a5f4261 100644 --- a/src/HaskFlattener.v +++ b/src/HaskFlattener.v @@ -722,24 +722,116 @@ Section HaskFlattener. apply IHsucc2. Defined. + Definition arrange_empty_tree : forall {T}{A}(q:Tree A)(t:Tree ??T), + t = mapTree (fun _:A => None) q -> + Arrange t []. + intros T A q. + induction q; intros. + simpl in H. + rewrite H. + apply RId. + simpl in *. + destruct t; try destruct o; inversion H. + set (IHq1 _ H1) as x1. + set (IHq2 _ H2) as x2. + eapply RComp. + eapply RRight. + rewrite <- H1. + apply x1. + eapply RComp. + apply RCanL. + rewrite <- H2. + apply x2. + Defined. + +(* Definition unarrange_empty_tree : forall {T}{A}(t:Tree ??T)(q:Tree A), + t = mapTree (fun _:A => None) q -> + Arrange [] t. + Defined.*) + + Definition decide_tree_empty : forall {T:Type}(t:Tree ??T), + sum { q:Tree unit & t = mapTree (fun _ => None) q } unit. + intro T. + refine (fix foo t := + match t with + | T_Leaf x => _ + | T_Branch b1 b2 => let b1' := foo b1 in let b2' := foo b2 in _ + end). + intros. + destruct x. + right; apply tt. + left. + exists (T_Leaf tt). + auto. + destruct b1'. + destruct b2'. + destruct s. + destruct s0. + subst. + left. + exists (x,,x0). + reflexivity. + right; auto. + right; auto. + Defined. + Definition arrange_esc : forall Γ Δ ec succ t, ND Rule [Γ > Δ > mapOptionTree (flatten_leveled_type ) succ |- [t @@ nil]] [Γ > Δ > mapOptionTree (flatten_leveled_type ) (drop_lev (ec :: nil) succ),, [(@ga_mk _ (v2t ec) [] (mapOptionTree (flatten_type ○ unlev) (take_lev (ec :: nil) succ))) @@ nil] |- [t @@ nil]]. intros. - unfold drop_lev. set (@arrange _ succ (levelMatch (ec::nil))) as q. + set (@drop_lev Γ (ec::nil) succ) as q'. + assert (@drop_lev Γ (ec::nil) succ=q') as H. + reflexivity. + unfold drop_lev in H. + unfold mkDropFlags in H. + rewrite H in q. + clear H. set (arrangeMap _ _ flatten_leveled_type q) as y. eapply nd_comp. eapply nd_rule. eapply RArrange. apply y. - idtac. clear y q. + set (mapOptionTree flatten_leveled_type (dropT (mkFlags (liftBoolFunc false (bnot ○ levelMatch (ec :: nil))) succ))) as q. + destruct (decide_tree_empty q); [ idtac | apply (Prelude_error "escapifying open code not yet supported") ]. + destruct s. + + simpl. + eapply nd_comp; [ idtac | eapply nd_rule; eapply RArrange; apply RExch ]. + set (fun z z' => @RLet Γ Δ z (mapOptionTree flatten_leveled_type q') t z' nil) as q''. + eapply nd_comp; [ idtac | eapply nd_rule; apply q'' ]. + clear q''. + eapply nd_comp; [ apply nd_rlecnac | idtac ]. + apply nd_prod. + apply nd_rule. + apply RArrange. + eapply RComp; [ idtac | apply RCanR ]. + apply RLeft. + apply (@arrange_empty_tree _ _ _ _ e). + + eapply nd_comp. + eapply nd_rule. + eapply (@RVar Γ Δ t nil). + apply nd_rule. + apply RArrange. + eapply RComp. + apply RuCanL. + apply RRight. + apply RWeak. +(* + eapply decide_tree_empty. + + simpl. + set (dropT (mkFlags (liftBoolFunc false (bnot ○ levelMatch (ec :: nil))) succ)) as escapified. + destruct (decide_tree_empty escapified). + induction succ. destruct a. + unfold drop_lev. destruct l. simpl. unfold mkDropFlags; simpl. @@ -763,6 +855,7 @@ Section HaskFlattener. apply RLeft. apply RWeak. apply (Prelude_error "escapifying code with multi-leaf antecedents is not supported"). +*) Defined. Lemma mapOptionTree_distributes @@ -771,32 +864,6 @@ Section HaskFlattener. reflexivity. Qed. - Definition decide_tree_empty : forall {T:Type}(t:Tree ??T), - sum { q:Tree unit & t = mapTree (fun _ => None) q } unit. - intro T. - refine (fix foo t := - match t with - | T_Leaf x => _ - | T_Branch b1 b2 => let b1' := foo b1 in let b2' := foo b2 in _ - end). - intros. - destruct x. - right; apply tt. - left. - exists (T_Leaf tt). - auto. - destruct b1'. - destruct b2'. - destruct s. - destruct s0. - subst. - left. - exists (x,,x0). - reflexivity. - right; auto. - right; auto. - Defined. - Lemma unlev_relev : forall {Γ}(t:Tree ??(HaskType Γ ★)) lev, mapOptionTree unlev (t @@@ lev) = t. intros. induction t.