Embedding defeasible logic into logic programming

Grigoris Antoniou, David Billington, Guido Governatori, Michael J. Maher

Research output: Contribution to journalArticle

56 Citations (Scopus)

Abstract

Defeasible reasoning is a simple but efficient approach to nonmonotonic reasoning that has recently attracted considerable interest and that has found various applications. Defeasible logic and its variants are an important family of defeasible reasoning methods. So far no relationship has been established between defeasible logic and mainstream nonmonotonic reasoning approaches. In this paper we establish close links to known semantics of logic programs. In particular, we give a translation of a defeasible theory D into a meta-program P(D). We show that under a condition of decisiveness, the defeasible consequences of D correspond exactly to the sceptical conclusions of P(D) under the stable model semantics. Without decisiveness, the result holds only in one direction (all defeasible consequences of D are included in all stable models of P(D)). If we wish a complete embedding for the general case, we need to use the Kunen semantics of P(D), instead.

Original languageEnglish
Pages (from-to)703-735
Number of pages33
JournalTheory and Practice of Logic Programming
Volume6
Issue number6
Early online date16 Oct 2006
DOIs
Publication statusPublished - 1 Nov 2006
Externally publishedYes

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Logic programming
Logic Programming
Nonmonotonic Reasoning
Stable Models
Semantics
Logic
Reasoning
Logic Programs

Cite this

Antoniou, Grigoris ; Billington, David ; Governatori, Guido ; Maher, Michael J. / Embedding defeasible logic into logic programming. In: Theory and Practice of Logic Programming. 2006 ; Vol. 6, No. 6. pp. 703-735.
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Embedding defeasible logic into logic programming. / Antoniou, Grigoris; Billington, David; Governatori, Guido; Maher, Michael J.

In: Theory and Practice of Logic Programming, Vol. 6, No. 6, 01.11.2006, p. 703-735.

Research output: Contribution to journalArticle

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