Algebraic properties of idempotent substitutions

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Abstract

This paper presents an algebra of idempotent substitutions whose operations have many properties. We provide an algorithm to compute these operations and we show how they are related to the standard composition. The theory of Logic Programming can be rewritten in terms of these new operations. The advantages are that both the operational and the declarative semantics of Horn Clause Logic can be formalized in a compositional way and the proofs of standard results, like the switching lemma, get easier and more intuitive. Moreover, this formalization can be naturally extended to a parallel computational model, and therefore it can be regarded as a basis for a theory of concurrent logic programming.

Original languageEnglish
Title of host publicationAutomata, Languages and Programming - l7th International Colloquium, Proceedings
EditorsMichael S. Paterson
PublisherSpringer Verlag
Pages386-399
Number of pages14
ISBN (Print)9783540528265
DOIs
Publication statusPublished - 1 Jan 1990
Externally publishedYes
Event17th International Colloquium on Automata, Languages and Programming, 1990 - Warwick, United Kingdom
Duration: 16 Jul 199020 Jul 1990

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume443 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference17th International Colloquium on Automata, Languages and Programming, 1990
Country/TerritoryUnited Kingdom
CityWarwick
Period16/07/9020/07/90

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