Closed combination of context-embedding iterative strategies
Identifieur interne : 001489 ( Hal/Corpus ); précédent : 001488; suivant : 001490Closed combination of context-embedding iterative strategies
Auteurs : Walid Belkhir ; Nicolas Ratier ; Duy Duc Nguyen ; Michel LencznerSource :
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Abstract
This work is motivated by the challenging problem of the computer-aided generation of approximations (viewed as a series of transformations) of partial derivative equations. In this framework, the approximations posed over complex settings are incrementally constructed by extending an approximation posed on a simple setting and combining these extensions. In order to formalize these extensions and their combination, we introduce a class of rewriting strategies, called context-embedding iterative strategies (CE-strategies, for short). Roughly speaking, the class of CE-strategies is constructed by means of adding contexts and an iteration operator allowing the definition of recursive strategies. We show that the class of CE-strategies is closed under combination with respect to a correctness-completeness criterion. It turns out that the class CE-strategies enjoy nice algebraic properties, namely, the combination is associative, has a neutral element, and all the elements are idempotents.
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In this framework, the approximations posed over complex settings are incrementally constructed by extending an approximation posed on a simple setting and combining these extensions. In order to formalize these extensions and their combination, we introduce a class of rewriting strategies, called context-embedding iterative strategies (CE-strategies, for short). Roughly speaking, the class of CE-strategies is constructed by means of adding contexts and an iteration operator allowing the definition of recursive strategies. We show that the class of CE-strategies is closed under combination with respect to a correctness-completeness criterion. It turns out that the class CE-strategies enjoy nice algebraic properties, namely, the combination is associative, has a neutral element, and all the elements are idempotents.</div></front></TEI><hal api="V3"><titleStmt><title xml:lang="en">Closed combination of context-embedding iterative strategies</title><author role="aut"><persName><forename type="first">Walid</forename><surname>Belkhir</surname></persName><email></email><idno type="halauthor">660681</idno><affiliation ref="#struct-866"></affiliation><affiliation ref="#struct-189789"></affiliation></author><author role="aut"><persName><forename type="first">Nicolas</forename><surname>Ratier</surname></persName><email></email><idno type="halauthor">103114</idno><affiliation ref="#struct-866"></affiliation></author><author role="aut"><persName><forename type="first">Duy Duc</forename><surname>Nguyen</surname></persName><email></email><idno type="halauthor">1297851</idno><orgName ref="#struct-323774"></orgName><affiliation ref="#struct-866"></affiliation></author><author role="aut"><persName><forename type="first">Michel</forename><surname>Lenczner</surname></persName><email></email><idno type="halauthor">660682</idno><affiliation ref="#struct-866"></affiliation></author><editor role="depositor"><persName><forename>Walid</forename><surname>Belkhir</surname></persName><email>walid.belkhir@inria.fr</email></editor><funder ref="#projanr-41679"></funder></titleStmt><editionStmt><edition n="v1"><date type="whenSubmitted">2016-02-22 14:27:53</date></edition><edition n="v2" type="current"><date type="whenSubmitted">2016-03-07 13:06:54</date><date type="whenModified">2016-03-09 01:07:30</date><date type="whenReleased">2016-03-08 17:18:37</date><date type="whenProduced">2016-02-22</date><date type="whenEndEmbargoed">2016-03-07</date><ref type="file" target="https://hal.inria.fr/hal-01277395v2/document"><date notBefore="2016-03-07"></date></ref><ref type="file" subtype="author" n="1" target="https://hal.inria.fr/hal-01277395/file/long-v.pdf"><date notBefore="2016-03-07"></date></ref></edition><respStmt><resp>contributor</resp><name key="324590"><persName><forename>Walid</forename><surname>Belkhir</surname></persName><email>walid.belkhir@inria.fr</email></name></respStmt></editionStmt><publicationStmt><distributor>CCSD</distributor><idno type="halId">hal-01277395</idno><idno type="halUri">https://hal.inria.fr/hal-01277395</idno><idno type="halBibtex">belkhir:hal-01277395</idno><idno type="halRefHtml">[Technical Report] LORIA - Université de Lorraine; FEMTO-ST. 2016</idno><idno type="halRef">[Technical Report] LORIA - Université de Lorraine; FEMTO-ST. 2016</idno></publicationStmt><seriesStmt><idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno><idno type="stamp" n="UNIV-FCOMTE">Université de Franche-Comté</idno><idno type="stamp" n="UNIV-BM">Université de Technologie de Belfort-Montbeliard</idno><idno type="stamp" n="ENSMM">Ecole Nationale Supérieure de Mécanique et des Microtechniques</idno><idno type="stamp" n="FEMTO-ST" p="UNIV-FCOMTE">Franche-Comté Electronique, Mécanique, Thermique et Optique - Sciences et Technologies</idno><idno type="stamp" n="INRIA-LORRAINE">INRIA Nancy - Grand Est</idno><idno type="stamp" n="INRIA-NANCY-GRAND-EST">INRIA Nancy - Grand Est</idno><idno type="stamp" n="LORIA-FM" p="LORIA">Méthodes formelles</idno><idno type="stamp" n="UNIV-BM-THESE">Université de Technologie de Belfort-Montbeliard</idno><idno type="stamp" n="INRIA">INRIA - Institut National de Recherche en Informatique et en Automatique</idno><idno type="stamp" n="LORIA">LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications</idno><idno type="stamp" n="INRIA_TEST">INRIA - Institut National de Recherche en Informatique et en Automatique</idno><idno type="stamp" n="UNIV-LORRAINE">Université de Lorraine</idno><idno type="stamp" n="INRIA2">INRIA 2</idno><idno type="stamp" n="LORIA2">Publications du LORIA</idno></seriesStmt><notesStmt><note type="report" n="4">Technical Report</note></notesStmt><sourceDesc><biblStruct><analytic><title xml:lang="en">Closed combination of context-embedding iterative strategies</title><author role="aut"><persName><forename type="first">Walid</forename><surname>Belkhir</surname></persName><idno type="halAuthorId">660681</idno><affiliation ref="#struct-866"></affiliation><affiliation ref="#struct-189789"></affiliation></author><author role="aut"><persName><forename type="first">Nicolas</forename><surname>Ratier</surname></persName><idno type="halAuthorId">103114</idno><affiliation ref="#struct-866"></affiliation></author><author role="aut"><persName><forename type="first">Duy Duc</forename><surname>Nguyen</surname></persName><idno type="halAuthorId">1297851</idno><orgName ref="#struct-323774"></orgName><affiliation ref="#struct-866"></affiliation></author><author role="aut"><persName><forename type="first">Michel</forename><surname>Lenczner</surname></persName><idno type="halAuthorId">660682</idno><affiliation ref="#struct-866"></affiliation></author></analytic><monogr><imprint><date type="datePub">2016-02-22</date></imprint><authority type="institution">LORIA - Université de Lorraine</authority><authority type="institution">FEMTO-ST</authority></monogr></biblStruct></sourceDesc><profileDesc><langUsage><language ident="en">English</language></langUsage><textClass><keywords scheme="author"><term xml:lang="en">Strategies</term><term xml:lang="en">Combination</term><term xml:lang="en">Unification</term><term xml:lang="en">Fixed-point</term></keywords><classCode scheme="halDomain" n="info">Computer Science [cs]</classCode><classCode scheme="halDomain" n="info.info-cl">Computer Science [cs]/Computation and Language [cs.CL]</classCode><classCode scheme="halTypology" n="REPORT">Reports</classCode></textClass><abstract xml:lang="en">This work is motivated by the challenging problem of the computer-aided generation of approximations (viewed as a series of transformations) of partial derivative equations. In this framework, the approximations posed over complex settings are incrementally constructed by extending an approximation posed on a simple setting and combining these extensions. In order to formalize these extensions and their combination, we introduce a class of rewriting strategies, called context-embedding iterative strategies (CE-strategies, for short). Roughly speaking, the class of CE-strategies is constructed by means of adding contexts and an iteration operator allowing the definition of recursive strategies. We show that the class of CE-strategies is closed under combination with respect to a correctness-completeness criterion. It turns out that the class CE-strategies enjoy nice algebraic properties, namely, the combination is associative, has a neutral element, and all the elements are idempotents.</abstract></profileDesc></hal></record>Pour manipuler ce document sous Unix (Dilib)
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