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Proving Distributed Algorithms by Combining Refinement and Local Computations

Identifieur interne : 002A67 ( Main/Exploration ); précédent : 002A66; suivant : 002A68

Proving Distributed Algorithms by Combining Refinement and Local Computations

Auteurs : Dominique Méry [France] ; Mohammed Mosbah [France] ; Mohammed Tounsi [France]

Source :

RBID : Hal:inria-00547302

English descriptors

Abstract

Abstract: Our approach is directly related to the design of correct-by-construction programs. The main idea relies upon the development of distributed algorithms fol- lowing a top/down approach, which is clearly well known in earlier works of Dijkstra, and to use the refinement for controlling the correctness of the resulting algorithm. It relies on a more fundamental question related to the notion of problem to solve. The methodology can be based on incremental proof-based developments. However, the link between the problem and the first model remains to be expressed and the refine- ment is a real help to justify in a very progressive way the choices of design. We propose in this work a framework combining local computations and refinement to prove the correctness of a large class of distributed algorithms.

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Le document en format XML

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<term>Proof-based pattern</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front>
<div type="abstract" xml:lang="en">Abstract: Our approach is directly related to the design of correct-by-construction programs. The main idea relies upon the development of distributed algorithms fol- lowing a top/down approach, which is clearly well known in earlier works of Dijkstra, and to use the refinement for controlling the correctness of the resulting algorithm. It relies on a more fundamental question related to the notion of problem to solve. The methodology can be based on incremental proof-based developments. However, the link between the problem and the first model remains to be expressed and the refine- ment is a real help to justify in a very progressive way the choices of design. We propose in this work a framework combining local computations and refinement to prove the correctness of a large class of distributed algorithms.</div>
</front>
</TEI>
<affiliations>
<list>
<country>
<li>France</li>
</country>
<region>
<li>Grand Est</li>
<li>Lorraine (région)</li>
</region>
<settlement>
<li>Nancy</li>
</settlement>
<orgName>
<li>Institut national polytechnique de Lorraine</li>
<li>Université Nancy 2</li>
<li>Université de Lorraine</li>
</orgName>
</list>
<tree>
<country name="France">
<region name="Grand Est">
<name sortKey="Mery, Dominique" sort="Mery, Dominique" uniqKey="Mery D" first="Dominique" last="Méry">Dominique Méry</name>
</region>
<name sortKey="Mosbah, Mohammed" sort="Mosbah, Mohammed" uniqKey="Mosbah M" first="Mohammed" last="Mosbah">Mohammed Mosbah</name>
<name sortKey="Tounsi, Mohammed" sort="Tounsi, Mohammed" uniqKey="Tounsi M" first="Mohammed" last="Tounsi">Mohammed Tounsi</name>
</country>
</tree>
</affiliations>
</record>

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