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Higher-Order Equational Unification via Explicit Substitutions

Identifieur interne : 00C124 ( Main/Merge ); précédent : 00C123; suivant : 00C125

Higher-Order Equational Unification via Explicit Substitutions

Auteurs : Claude Kirchner ; Christophe Ringeissen

Source :

RBID : CRIN:kirchner97a

English descriptors

Abstract

We show how to reduce the higher-order E-unification problem into a first-order unification problem in a union of two non-disjoint equational theories including E and a calculus of explicit substitutions. A rule-based unification procedure in this combined theory is described and may be viewed as an extension of the one initially designed by G. Dowek, T. Hardin and C. Kirchner for performing unification of simply typed Lambda-terms in a first-order setting via a calculus of explicit substitutions. Additional rules are used to deal with the interaction between E and this first-order calculus.

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CRIN:kirchner97a

Le document en format XML

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<div type="abstract" xml:lang="en" wicri:score="2401">We show how to reduce the higher-order E-unification problem into a first-order unification problem in a union of two non-disjoint equational theories including E and a calculus of explicit substitutions. A rule-based unification procedure in this combined theory is described and may be viewed as an extension of the one initially designed by G. Dowek, T. Hardin and C. Kirchner for performing unification of simply typed Lambda-terms in a first-order setting via a calculus of explicit substitutions. Additional rules are used to deal with the interaction between E and this first-order calculus.</div>
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