Logic program semantics for programming with equations

Joxan Jaffar, Peter J. Stuckey

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Abstract

We consider logic programming-like systems which are based on solving equations in a given structure as opposed to obtaining unifiers. While such systems are elegant from an operational point of view, a logical interpretation of the programs is not always apparent. In this paper, we restrict ourselves to the class of structures ℜ satisfying the eliminable variable property: we can construct an explicit definition, in the form of one system of equations, of the set of solutions to any ℜ-solvable system of equations. Correspondingly, we consider only the class of equality theories E such that every E-unifiable system of equations has an E-mgu. We then state three properties which provide basic relationships between E and ℜ. We prove that their satisfaction establishes an equivalence between a program considered as an equation solving engine (with respect to a structure) and the program considered as a logic program (with respect to a corresponding equality theory). A logical basis for these programs is thus given.

Original languageEnglish
Title of host publication3rd International Conference on Logic Programming - Imperial College of Science and Technology, Proceedings
EditorsEhud Shapiro
PublisherSpringer
Pages313-326
Number of pages14
ISBN (Print)9783540164920
DOIs
Publication statusPublished - 1 Jan 1986
EventInternational Conference on Logic Programming 1986 - London, United Kingdom
Duration: 14 Jul 198618 Jul 1986
Conference number: 3rd
https://link.springer.com/book/10.1007/3-540-16492-8 (Proceedings)

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume225 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

ConferenceInternational Conference on Logic Programming 1986
Abbreviated titleICLP 1986
CountryUnited Kingdom
CityLondon
Period14/07/8618/07/86
Internet address

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