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