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Solving goals in equational languages

Identifieur interne : 003377 ( Istex/Curation ); précédent : 003376; suivant : 003378

Solving goals in equational languages

Auteurs : Nachum Dershowitz [États-Unis] ; G. Sivakumar [États-Unis]

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RBID : ISTEX:DAFE3FFB5C021A43F7A79564074B2AB6FFF9AE65

Abstract

Abstract: Solving equations in equational Horn-clause theories is a programming paradigm that combines logic programming and functional programming in a clean manner. Languages like Eqlog, Slog and Rite, express programs as conditional rewrite rules and goals as equations to be solved. Procedures for completion of conditional equational theories, in a manner akin to that of Knuth and Bendix for unconditional theories, also require methods for solving equations appearing in conditions. Rewrite-based logic-programming uses (conditional) narrowing to solve equational goals. Recently a different, topdown equation solving procedure was proposed for unconditional rewrite systems. In this paper, we express equational goal solving using conditional rules. Some refinements are described: the notion of operator derivability is used to prune useless paths in the search tree and our use of oriented goals eliminates some redundant paths leading to non-normalized solutions. Our goal-directed method can also be extended to handle conditional systems.

Url:
DOI: 10.1007/3-540-19242-5_4

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ISTEX:DAFE3FFB5C021A43F7A79564074B2AB6FFF9AE65

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