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The Rewriting Calculus - Part II

Identifieur interne : 004B75 ( Hal/Corpus ); précédent : 004B74; suivant : 004B76

The Rewriting Calculus - Part II

Auteurs : Horatiu Cirstea ; Claude Kirchner

Source :

RBID : Hal:inria-00100532

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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Hal:inria-00100532

Le document en format XML

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<title xml:lang="en">The Rewriting Calculus - Part II</title>
<author role="aut">
<persName>
<forename type="first">Horatiu</forename>
<surname>Cirstea</surname>
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<forename type="first">Claude</forename>
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<title level="j">Logic Journal of the Interest Group in Pure and Applied Logics</title>
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<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>
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<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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