InforLorV4, Main, Merge, bibRecord, 005A01

Expressing Combinatory Reduction Systems Derivations in the Rewriting Calculus

Identifieur interne : 005A01 ( Main/Merge ); précédent : 005A00; suivant : 005A02

Expressing Combinatory Reduction Systems Derivations in the Rewriting Calculus

Auteurs : Horatiu Cirstea [France] ; Clara Bertolissi [France] ; Claude Kirchner [France]

Source :

Higher-Order and Symbolic Computation [ 1388-3690 ] ; 2006.

RBID : Hal:inria-00110869

Abstract

We show in this paper that we can express Combinatory Reduction Systems derivations in terms of rewriting calculus derivations. The approach we present is based on a translation of each possible CRS-reduction into a corresponding rho-reduction. Since for this purpose we need to make precise the matching used when evaluating \CRS, the second contribution of the paper is to present an original matching algorithm for CRS terms that uses a simple term translation and the classical matching of lambda terms.

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https://hal.inria.fr/inria-00110869

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<series><title level="j">Higher-Order and Symbolic Computation</title>
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<front><div type="abstract" xml:lang="en">We show in this paper that we can express Combinatory Reduction Systems derivations in terms of rewriting calculus derivations. The approach we present is based on a translation of each possible CRS-reduction into a corresponding rho-reduction. Since for this purpose we need to make precise the matching used when evaluating \CRS, the second contribution of the paper is to present an original matching algorithm for CRS terms that uses a simple term translation and the classical matching of lambda terms.</div>
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Expressing Combinatory Reduction Systems Derivations in the Rewriting Calculus

Expressing Combinatory Reduction Systems Derivations in the Rewriting Calculus

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