First-order expressibility and boundedness of disjunctive logic programs

Heng Zhang, Yan Zhang

Research output: Chapter in Book / Conference PaperConference Paperpeer-review

4 Citations (Scopus)

Abstract

In this paper, the fixed point semantics developed in [Lobo et al., 1992] is generalized to disjunctive logic programs with default negation and over arbitrary structures, and proved to coincide with the stable model semantics. By using the tool of ultra-products, a preservation theorem, which asserts that a disjunctive logic program without default negation is bounded with respect to the proposed semantics if and only if it has a first-order equivalent, is then obtained. For the disjunctive logic programs with default negation, a sufficient condition assuring the first-order expressibility is also proposed.
Original languageEnglish
Title of host publicationProceedings of the Twenty-third International Conference on Artificial Intelligence, 3-9 August 2013, Beijing, China
PublisherAAAI Press
Pages1198-1204
Number of pages7
ISBN (Print)9781577356332
Publication statusPublished - 2013
EventInternational Joint Conference on Arti�cial Intelligence -
Duration: 3 Aug 2013 → …

Conference

ConferenceInternational Joint Conference on Arti�cial Intelligence
Period3/08/13 → …

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