The Rewriting Calculus - Part II
Identifieur interne : 004B75 ( Hal/Corpus ); précédent : 004B74; suivant : 004B76The Rewriting Calculus - Part II
Auteurs : Horatiu Cirstea ; Claude KirchnerSource :
Descripteurs français
Abstract
The rho-calculus integrates in a uniform and simple setting first-order rewriting, lambda-calculus and non-deterministic computations. Its abstraction mechanism is based on the rewrite rule formation and its main evaluation rule is based on matching modulo a theory T. We have seen in the first part of this work the motivations, definitions and basic properties of the rho-calculus. This second part is first devoted to the use of an extension of the rho-calculus for encoding a (conditional) rewrite relation. This extension is based on the ``first'' operator whose purpose is to detect rule application failure. It allows us to express recursively rule application and therefore to encode strategy based rewriting processes. We then use this extended calculus to give an operational semantics to ELAN programs. We conclude with an overview of ongoing and future works on rho-calculus.
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<front><div type="abstract" xml:lang="en">The rho-calculus integrates in a uniform and simple setting first-order rewriting, lambda-calculus and non-deterministic computations. Its abstraction mechanism is based on the rewrite rule formation and its main evaluation rule is based on matching modulo a theory T. We have seen in the first part of this work the motivations, definitions and basic properties of the rho-calculus. This second part is first devoted to the use of an extension of the rho-calculus for encoding a (conditional) rewrite relation. This extension is based on the ``first'' operator whose purpose is to detect rule application failure. It allows us to express recursively rule application and therefore to encode strategy based rewriting processes. We then use this extended calculus to give an operational semantics to ELAN programs. We conclude with an overview of ongoing and future works on rho-calculus.</div>
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<idno type="stamp" n="LORIA">LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications</idno>
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<notesStmt><note type="commentary">Article dans revue scientifique avec comité de lecture.</note>
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<note type="popular" n="0">No</note>
<note type="peer" n="1">Yes</note>
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<sourceDesc><biblStruct><analytic><title xml:lang="en">The Rewriting Calculus - Part II</title>
<author role="aut"><persName><forename type="first">Horatiu</forename>
<surname>Cirstea</surname>
</persName>
<email>Horatiu.Cirstea@loria.fr</email>
<idno type="halAuthorId">131783</idno>
<orgName ref="#struct-364480"></orgName>
<affiliation ref="#struct-2360"></affiliation>
</author>
<author role="aut"><persName><forename type="first">Claude</forename>
<surname>Kirchner</surname>
</persName>
<idno type="idHal">claudekirchner</idno>
<idno type="halAuthorId">129589</idno>
<idno type="ORCID">http://orcid.org/0000-0002-1686-1046</idno>
<orgName ref="#struct-300009"></orgName>
<affiliation ref="#struct-2360"></affiliation>
</author>
</analytic>
<monogr><idno type="localRef">A01-R-204 || cirstea01e</idno>
<idno type="halJournalId" status="INCOMING">44324</idno>
<title level="j">Logic Journal of the Interest Group in Pure and Applied Logics</title>
<imprint><biblScope unit="volume">9</biblScope>
<biblScope unit="issue">3</biblScope>
<biblScope unit="pp">465-498</biblScope>
<date type="datePub">2001</date>
</imprint>
</monogr>
</biblStruct>
</sourceDesc>
<profileDesc><langUsage><language ident="en">English</language>
</langUsage>
<textClass><keywords scheme="author"><term xml:lang="fr">langage à base de règles.</term>
<term xml:lang="ro">rule based language.</term>
<term xml:lang="ro">rewriting</term>
<term xml:lang="ro">strategy</term>
<term xml:lang="ro">non-determinism</term>
<term xml:lang="ro">matching</term>
<term xml:lang="ro">rewriting-calculus</term>
<term xml:lang="ro">lambda-calculus</term>
<term xml:lang="ro">stratégie</term>
<term xml:lang="ro">non-déterminisme</term>
<term xml:lang="ro">filtrage</term>
<term xml:lang="ro">calcul de réécriture</term>
<term xml:lang="ro">lambda calcul</term>
<term xml:lang="ro">langage à base de règles</term>
<term xml:lang="ro">réécriture</term>
</keywords>
<classCode scheme="halDomain" n="info.info-oh">Computer Science [cs]/Other [cs.OH]</classCode>
<classCode scheme="halTypology" n="ART">Journal articles</classCode>
</textClass>
<abstract xml:lang="en">The rho-calculus integrates in a uniform and simple setting first-order rewriting, lambda-calculus and non-deterministic computations. Its abstraction mechanism is based on the rewrite rule formation and its main evaluation rule is based on matching modulo a theory T. We have seen in the first part of this work the motivations, definitions and basic properties of the rho-calculus. This second part is first devoted to the use of an extension of the rho-calculus for encoding a (conditional) rewrite relation. This extension is based on the ``first'' operator whose purpose is to detect rule application failure. It allows us to express recursively rule application and therefore to encode strategy based rewriting processes. We then use this extended calculus to give an operational semantics to ELAN programs. We conclude with an overview of ongoing and future works on rho-calculus.</abstract>
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