From: vincent.diemunsch@gmail.com
Subject: Re: {Pre,Post}conditions and side effects
Date: Mon, 11 May 2015 14:49:48 -0700 (PDT)
Date: 2015-05-11T14:49:48-07:00 [thread overview]
Message-ID: <c6a5c672-9e37-4d2b-b313-1f2139fffc66@googlegroups.com> (raw)
In-Reply-To: <alpine.DEB.2.11.1505111113020.12062@debian>
Hello Stefan,
The correct way of proving is to use SYMBOLIC COMPUTATION : you assume
basic facts on proof function and then let the solver infer that your verification
condition extracted from the code is correct.
>.................... Recently, when trying to write
> a sorting procedure in SPARK, the prover has been unable to figure out
> that, given an array A and two indices i /= j in the proper range, the new
> array I get from A by swapping A(i) and A(j) (without changing any of the
> values A(k) for k not in {i,j}), is a permutation of A. I haven't yet
> solved the problem.
It was easy in Spark 2005 :
--# function Perm (A, B : Array_Type) return Boolean;
--# assume Perm ( T~ [ I => T~(J); J => T~(I) ], T~);
Then you can prove that A is a permutation of B by
proving that A results from a sequence of permutations
of two elements, starting with B. It is the case in all sorting
algorithm that I know (QuickSort, HeapSort, etc.).
Maybe you can also do that using "Ghost functions" in Spark 2014.
Regards,
Vincent
next prev parent reply other threads:[~2015-05-11 21:49 UTC|newest]
Thread overview: 107+ messages / expand[flat|nested] mbox.gz Atom feed top
2014-12-22 16:22 {Pre,Post}conditions and side effects Jean François Martinez
2014-12-22 17:18 ` Brad Moore
2014-12-23 8:22 ` Jean François Martinez
2014-12-23 17:05 ` Robert A Duff
2014-12-23 21:09 ` Jean François Martinez
2014-12-23 21:35 ` Robert A Duff
2014-12-23 23:02 ` Peter Chapin
2014-12-24 1:03 ` Robert A Duff
2015-04-24 8:59 ` Jacob Sparre Andersen
2015-04-24 9:18 ` J-P. Rosen
2015-04-24 23:39 ` Randy Brukardt
2015-04-24 12:10 ` G.B.
2015-04-24 14:40 ` Jacob Sparre Andersen
2015-04-24 16:29 ` G.B.
2015-04-24 23:46 ` Randy Brukardt
2015-04-24 22:26 ` Peter Chapin
2015-04-25 0:13 ` Randy Brukardt
2015-04-25 1:01 ` Peter Chapin
2015-04-25 5:51 ` Dmitry A. Kazakov
2015-04-25 0:31 ` Bob Duff
2015-04-25 12:08 ` vincent.diemunsch
2015-04-25 16:37 ` Georg Bauhaus
2015-05-06 21:07 ` Randy Brukardt
2015-05-06 22:10 ` Paul Rubin
2015-05-07 9:01 ` Georg Bauhaus
2015-05-07 9:12 ` Dmitry A. Kazakov
2015-05-07 9:29 ` Georg Bauhaus
2015-05-07 9:31 ` Georg Bauhaus
2015-05-07 18:32 ` Randy Brukardt
2015-05-08 7:50 ` Dmitry A. Kazakov
2015-05-08 23:31 ` Randy Brukardt
2015-05-09 6:16 ` Dmitry A. Kazakov
2015-05-12 0:28 ` Randy Brukardt
2015-05-12 8:04 ` Dmitry A. Kazakov
2015-05-07 10:06 ` Stefan.Lucks
2015-05-07 12:16 ` Dmitry A. Kazakov
2015-05-07 18:00 ` Stefan.Lucks
2015-05-07 19:01 ` Randy Brukardt
2015-05-07 19:29 ` Niklas Holsti
2015-05-08 23:16 ` Randy Brukardt
2015-05-09 5:18 ` Niklas Holsti
2015-05-12 0:15 ` Randy Brukardt
2015-05-07 19:55 ` Dmitry A. Kazakov
2015-05-08 23:24 ` Randy Brukardt
2015-05-09 5:47 ` Dmitry A. Kazakov
2015-05-07 18:52 ` Randy Brukardt
2015-05-07 19:40 ` Stefan.Lucks
2015-05-08 7:28 ` Dmitry A. Kazakov
2015-05-08 22:58 ` Randy Brukardt
2015-05-08 22:52 ` Randy Brukardt
2015-05-09 0:14 ` Paul Rubin
2015-05-12 0:30 ` Randy Brukardt
2015-05-12 18:10 ` Paul Rubin
2015-05-12 22:01 ` Randy Brukardt
2015-05-13 9:35 ` Dmitry A. Kazakov
2015-05-13 11:53 ` G.B.
2015-05-13 12:47 ` Dmitry A. Kazakov
2015-05-13 14:06 ` G.B.
2015-05-13 14:21 ` Dmitry A. Kazakov
2015-05-13 16:33 ` G.B.
2015-05-13 19:15 ` Dmitry A. Kazakov
2015-05-14 1:36 ` Randy Brukardt
2015-05-14 7:10 ` Dmitry A. Kazakov
2015-05-14 1:32 ` Randy Brukardt
2015-05-14 7:19 ` Dmitry A. Kazakov
2015-05-12 0:36 ` Randy Brukardt
2015-05-11 10:35 ` Stefan.Lucks
2015-05-11 21:49 ` vincent.diemunsch [this message]
2015-05-11 22:49 ` Peter Chapin
2015-05-12 4:49 ` vincent.diemunsch
2015-05-12 23:25 ` Peter Chapin
2015-05-13 9:00 ` vincent.diemunsch
2015-05-12 4:42 ` vincent.diemunsch
2015-05-12 14:53 ` johnscpg
2015-05-13 9:14 ` vincent.diemunsch
2015-05-12 1:03 ` Randy Brukardt
2015-05-12 7:21 ` Georg Bauhaus
2015-05-12 22:08 ` Randy Brukardt
2015-05-12 8:02 ` Georg Bauhaus
2015-05-12 22:14 ` Randy Brukardt
2015-05-12 8:37 ` Stefan.Lucks
2015-05-12 11:25 ` Stefan.Lucks
2015-05-12 18:44 ` Paul Rubin
2015-05-12 20:52 ` Stefan.Lucks
2015-05-18 9:49 ` Jacob Sparre Andersen
2015-05-18 12:10 ` Stefan.Lucks
2015-05-19 7:46 ` Jacob Sparre Andersen
2015-06-09 7:55 ` Stefan.Lucks
2015-06-09 12:02 ` G.B.
2015-06-09 17:16 ` Stefan.Lucks
2015-05-12 18:39 ` Paul Rubin
2015-05-12 20:51 ` Stefan.Lucks
2015-05-12 14:21 ` Bob Duff
2015-05-12 22:37 ` Randy Brukardt
2015-05-13 6:58 ` Georg Bauhaus
2015-05-14 1:21 ` Randy Brukardt
2015-05-07 21:29 ` Georg Bauhaus
2015-05-08 23:11 ` Randy Brukardt
2015-05-08 23:19 ` tmoran
2014-12-23 21:53 ` Florian Weimer
2014-12-24 11:41 ` Brad Moore
2014-12-22 19:38 ` sbelmont700
2014-12-22 19:59 ` Brad Moore
2014-12-22 23:46 ` Randy Brukardt
2014-12-23 10:41 ` Georg Bauhaus
2014-12-22 23:32 ` Randy Brukardt
2015-04-24 17:59 ` Shark8
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