A uniform approach to logic programming semantics

Part of the theory of logic programming and nonmonotonic reasoning concerns the study of fixed-point semantics for these paradigms. Several different semantics have been proposed during the last two decades, and some have been more successful and acknowledged than others. The rationales behind those...

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Vydáno v:Theory and practice of logic programming Ročník 5; číslo 1-2; s. 93 - 121
Hlavní autoři: HITZLER, PASCAL, WENDT, MATTHIAS
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cambridge, UK Cambridge University Press 01.01.2005
Témata:
Regular Papers
Semantics
well-founded semantics
Fitting semantics
weak stratification
least model seman tics
level mapping
stable semantics
ISSN:1471-0684, 1475-3081
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Shrnutí:Part of the theory of logic programming and nonmonotonic reasoning concerns the study of fixed-point semantics for these paradigms. Several different semantics have been proposed during the last two decades, and some have been more successful and acknowledged than others. The rationales behind those various semantics have been manifold, depending on one's point of view, which may be that of a programmer or inspired by commonsense reasoning, and consequently the constructions which lead to these semantics are technically very diverse, and the exact relationships between them have not yet been fully understood. In this paper, we present a conceptually new method, based on level mappings, which allows to provide uniform characterizations of different semantics for logic programs. We will display our approach by giving new and uniform characterizations of some of the major semantics, more particular of the least model semantics for definite programs, of the Fitting semantics, and of the well-founded semantics. A novel characterization of the weakly perfect model semantics will also be provided.
Bibliografie:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ISSN:1471-0684
1475-3081
DOI:10.1017/S1471068404002212