Proving Distributed Algorithms by Combining Refinement and Local Computations
Identifieur interne : 003E40 ( Hal/Curation ); précédent : 003E39; suivant : 003E41Proving Distributed Algorithms by Combining Refinement and Local Computations
Auteurs : Dominique Méry [France] ; Mohammed Mosbah [France] ; Mohammed Tounsi [France]Source :
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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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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><hal api="V3"><titleStmt><title xml:lang="en">Proving Distributed Algorithms by Combining Refinement and Local Computations</title><author role="crp"><persName><forename type="first">Dominique</forename><surname>Méry</surname></persName><email>Dominique.Mery@loria.fr</email><idno type="idhal">dominiquemery</idno><idno type="halauthor">122707</idno><orgName ref="#struct-300291"></orgName><affiliation ref="#struct-140234"></affiliation></author><author role="crp"><persName><forename type="first">Mohammed</forename><surname>Mosbah</surname></persName><email>mosbah@labri.fr</email><idno type="halauthor">557910</idno><orgName ref="#struct-366532"></orgName><affiliation ref="#struct-3102"></affiliation><affiliation ref="#struct-27658"></affiliation></author><author role="aut"><persName><forename type="first">Mohammed</forename><surname>Tounsi</surname></persName><email>tounsi@labri.fr</email><idno type="halauthor">557911</idno><orgName ref="#struct-92972"></orgName><affiliation ref="#struct-3102"></affiliation></author><editor role="depositor"><persName><forename>Dominique</forename><surname>Méry</surname></persName><email>dominique.mery@loria.fr</email></editor><funder ref="#projanr-2508"></funder></titleStmt><editionStmt><edition n="v1" type="current"><date type="whenSubmitted">2010-12-15 22:47:54</date><date type="whenWritten">2010-09-21</date><date type="whenModified">2016-05-19 01:04:34</date><date type="whenReleased">2010-12-15 22:47:54</date><date type="whenProduced">2010-09-21</date></edition><respStmt><resp>contributor</resp><name key="107371"><persName><forename>Dominique</forename><surname>Méry</surname></persName><email>dominique.mery@loria.fr</email></name></respStmt></editionStmt><publicationStmt><distributor>CCSD</distributor><idno type="halId">inria-00547302</idno><idno type="halUri">https://hal.inria.fr/inria-00547302</idno><idno type="halBibtex">mery:inria-00547302</idno><idno type="halRefHtml">Jens Bendisposto, Michael Leuschel, Markus Roggenbach. AVOCS 2010 10th International Workshop on Automated Verification of Critical Systems, Sep 2010, Dusseldorf, Germany. 2010</idno><idno type="halRef">Jens Bendisposto, Michael Leuschel, Markus Roggenbach. AVOCS 2010 10th International Workshop on Automated Verification of Critical Systems, Sep 2010, Dusseldorf, Germany. 2010</idno></publicationStmt><seriesStmt><idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno><idno type="stamp" n="INRIA">INRIA - Institut National de Recherche en Informatique et en Automatique</idno><idno type="stamp" n="INPL">Institut National Polytechnique de Lorraine</idno><idno type="stamp" n="ENSEIRB">Ecole Nationale Supérieure d'Electronique, Informatique et Radiocommunications de Bordeaux</idno><idno type="stamp" n="LABRI">Laboratoire Bordelais de Recherche en Informatique</idno><idno type="stamp" n="UNIV-BORDEAUX">Université de Bordeaux</idno><idno type="stamp" n="LORIA-FM" p="LORIA">Méthodes formelles</idno><idno type="stamp" n="LORIA">LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications</idno><idno type="stamp" n="TESTBORDEAUX">TESTBORDEAUX</idno><idno type="stamp" n="LABO-LORIA-SET" p="LORIA">LABO-LORIA-SET</idno><idno type="stamp" n="LORIA2">Publications du LORIA</idno><idno type="stamp" n="UNIV-LORRAINE">Université de Lorraine</idno></seriesStmt><notesStmt><note type="audience" n="2">International</note><note type="invited" n="0">No</note><note type="popular" n="0">No</note><note type="peer" n="1">Yes</note><note type="proceedings" n="1">Yes</note></notesStmt><sourceDesc><biblStruct><analytic><title xml:lang="en">Proving Distributed Algorithms by Combining Refinement and Local Computations</title><author role="crp"><persName><forename type="first">Dominique</forename><surname>Méry</surname></persName><email>Dominique.Mery@loria.fr</email><idno type="idHal">dominiquemery</idno><idno type="halAuthorId">122707</idno><orgName ref="#struct-300291"></orgName><affiliation ref="#struct-140234"></affiliation></author><author role="crp"><persName><forename type="first">Mohammed</forename><surname>Mosbah</surname></persName><email>mosbah@labri.fr</email><idno type="halAuthorId">557910</idno><orgName ref="#struct-366532"></orgName><affiliation ref="#struct-3102"></affiliation><affiliation ref="#struct-27658"></affiliation></author><author role="aut"><persName><forename type="first">Mohammed</forename><surname>Tounsi</surname></persName><email>tounsi@labri.fr</email><idno type="halAuthorId">557911</idno><orgName ref="#struct-92972"></orgName><affiliation ref="#struct-3102"></affiliation></author></analytic><monogr><meeting><title>AVOCS 2010 10th International Workshop on Automated Verification of Critical Systems</title><date type="start">2010-09-21</date><date type="end">2010-09-23</date><settlement>Dusseldorf</settlement><country key="DE">Germany</country></meeting><editor>Jens Bendisposto, Michael Leuschel, Markus Roggenbach</editor><imprint><date type="datePub">2010-09-21</date></imprint></monogr></biblStruct></sourceDesc><profileDesc><langUsage><language ident="en">English</language></langUsage><textClass><keywords scheme="author"><term xml:lang="en">Distributed algorithm</term><term xml:lang="en">Proof-based pattern</term><term xml:lang="en">Event-B</term><term xml:lang="en">Local computation</term><term xml:lang="en">Distributed algorithm.</term></keywords><classCode scheme="acm" n="F.3"></classCode><classCode scheme="halDomain" n="info.info-dc">Computer Science [cs]/Distributed, Parallel, and Cluster Computing [cs.DC]</classCode><classCode scheme="halTypology" n="COMM">Conference papers</classCode></textClass><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.</abstract></profileDesc></hal></record>Pour manipuler ce document sous Unix (Dilib)
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