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lustrec / test / src / kind_fmcad08 / misc / durationThm_1.lus @ 22fe1c93

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--
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-- Source: Bertrand Jeannet
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--
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node Sofar( X : bool ) returns ( Sofar : bool );
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let
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    Sofar = X -> X and pre Sofar;
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tel
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node Age (p: bool) returns (age_of_p: int);
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-- how long has p been maintained true in the strict past
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let
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 age_of_p = 0 -> if pre(p) then pre(age_of_p) + 1 else 0;
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tel
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-- Theorem 1:
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-- (p -k-> q and q -m-> r) => p -k+m-> r
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-- Not provable in luke-*
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node top (ik, im: int; p, q, r : bool) returns (OK: bool);
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var k,m : int;
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    env : bool;
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let
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    k = ik -> pre k;
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    m = im -> pre m;
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    env = Sofar((k>=1 and m>=1) and (Age(p)>=k => q)  and (Age(q)>=m => r));
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    OK = env => (true -> ( (Age(p)>=k+m) => r ));
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    --%PROPERTY OK=true;
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    --%MAIN;
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tel