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Noticed one invariant in HoareLogic was more complex than required
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2 changed files with 3 additions and 4 deletions
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@ -540,7 +540,7 @@ Proof.
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induct s1; simplify; subst; simplify; auto.
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induct s1; simplify; subst; simplify; auto.
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Qed.
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Qed.
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Local Hint Rewrite substring_app_fst substring_app_snd using solve [trivial].
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Hint Rewrite substring_app_fst substring_app_snd using solve [trivial].
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(* BOREDOM'S END! *)
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(* BOREDOM'S END! *)
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@ -635,7 +635,7 @@ Proof.
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induct s; substring.
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induct s; substring.
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Qed.
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Qed.
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Hint Extern 1 (String _ _ = String _ _) => f_equal : core.
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Local Hint Extern 1 (String _ _ = String _ _) => f_equal : core.
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Lemma substring_stack : forall s n2 m1 m2,
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Lemma substring_stack : forall s n2 m1 m2,
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m1 <= m2
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m1 <= m2
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@ -398,8 +398,7 @@ Local Hint Extern 1 (_ <= _) => linear_arithmetic : core.
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Theorem selectionSort_ok :
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Theorem selectionSort_ok :
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{{_&_ ~> True}}
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{{_&_ ~> True}}
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"i" <- 0;;
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"i" <- 0;;
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{{h&v ~> v $! "i" <= v $! "n"
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{{h&v ~> (forall i j, i < j < v $! "i" -> h $! (v $! "a" + i) <= h $! (v $! "a" + j))
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/\ (forall i j, i < j < v $! "i" -> h $! (v $! "a" + i) <= h $! (v $! "a" + j))
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/\ (forall i j, i < v $! "i" -> v $! "i" <= j < v $! "n" -> h $! (v $! "a" + i) <= h $! (v $! "a" + j)) }}
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/\ (forall i j, i < v $! "i" -> v $! "i" <= j < v $! "n" -> h $! (v $! "a" + i) <= h $! (v $! "a" + j)) }}
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while "i" < "n" loop
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while "i" < "n" loop
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"j" <- "i"+1;;
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"j" <- "i"+1;;
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