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Connecting: extracting list reverse

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Adam Chlipala 2018-04-30 12:54:04 -04:00
parent 09ac8af058
commit 869b70561f
1 changed files with 28 additions and 3 deletions
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31
Connecting.v
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@ -1270,7 +1270,7 @@ Module MixedToDeep(Import BW : BIT_WIDTH).
| [ |- translate _ ?V (Bind (Write _ _) _) _ ] => | [ |- translate _ ?V (Bind (Write _ _) _) _ ] =>
eapply TrWrite eapply TrWrite
| [ |- translate _ ?V (Bind (Loop _ _) _) _ ] => | [ |- translate _ ?V (Bind (Loop _ _) _) _ ] =>
eapply TrLoop; [ | intros | intros ] eapply TrLoop; [ simplify; equality | simplify; equality | | intros | intros ]
end. end.
Example adder (a b c : wrd) := Example adder (a b c : wrd) :=
@ -1324,7 +1324,7 @@ Module MixedToDeep(Import BW : BIT_WIDTH).
Return (Again next_data))) Return (Again next_data)))
(fun pr => Return (snd pr)). (fun pr => Return (snd pr)).
(*Lemma translate_summer : sig (fun s => Lemma translate_summer : sig (fun s =>
forall p, translate (rt := OneWord) translate_result ($0 $+ ("p", p)) (summer p) s). forall p, translate (rt := OneWord) translate_result ($0 $+ ("p", p)) (summer p) s).
Proof. Proof.
eexists; simplify. eexists; simplify.
@ -1332,7 +1332,32 @@ Module MixedToDeep(Import BW : BIT_WIDTH).
repeat translate. repeat translate.
Defined. Defined.
Definition summer_compiled := Eval simpl in proj1_sig translate_summer.*) Definition summer_compiled := Eval simpl in proj1_sig translate_summer.
(* We restate the program to accommodate limitations in the tactics! *)
Definition reverse_alt p :=
pr <- for pr := (p, ^0) loop
let (p, r) := pr in
if weq p (^0) then
Return (Done pr)
else
pr' <- (tmp <- Read (p ^+ ^1);
_ <- Write (p ^+ ^1) r;
copy <- Return p;
Return (tmp, copy));
Return (Again pr')
done;
Return (snd pr).
Lemma translate_reverse_alt : sig (fun s =>
forall p, translate (rt := OneWord) translate_result ($0 $+ ("p", p)) (reverse_alt p) s).
Proof.
eexists; simplify.
unfold reverse_alt.
repeat translate.
Defined.
Definition reverse_alt_compiled := Eval simpl in proj1_sig translate_reverse_alt.
Lemma eval_translate : forall H V V' e v, Lemma eval_translate : forall H V V' e v,
eval H (V $++ V') e v eval H (V $++ V') e v