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19 April 2024
 
  » arxiv » cs.LO/0312028

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Minimal founded semantics for disjunctive logic programs and deductive databases
Filippo Furfaro ; Gianluigi Greco ; Sergio Greco ;
Date 15 Dec 2003
Journal Theory and Practice of Logic Programming, 4(1): 75-93 (2004)
Subject Logic in Computer Science; Artificial Intelligence ACM-class: I.2.3; F.4.1 | cs.LO cs.AI
AbstractIn this paper, we propose a variant of stable model semantics for disjunctive logic programming and deductive databases. The semantics, called minimal founded, generalizes stable model semantics for normal (i.e. non disjunctive) programs but differs from disjunctive stable model semantics (the extension of stable model semantics for disjunctive programs). Compared with disjunctive stable model semantics, minimal founded semantics seems to be more intuitive, it gives meaning to programs which are meaningless under stable model semantics and is no harder to compute. More specifically, minimal founded semantics differs from stable model semantics only for disjunctive programs having constraint rules or rules working as constraints. We study the expressive power of the semantics and show that for general disjunctive datalog programs it has the same power as disjunctive stable model semantics.
Source arXiv, cs.LO/0312028
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