1996
DOI: 10.1613/jair.284
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Well-Founded Semantics for Extended Logic Programs with Dynamic Preferences

Abstract: The paper describes an extension of well-founded semantics for logic programs with two types of negation. In this extension information about preferences between rules can be expressed in the logical language and derived dynamically. This is achieved by using a reserved predicate symbol and a naming technique. Con icts among rules are resolved whenever possible on the basis of derived preference information. The well-founded conclusions of prioritized logic programs can be computed in polynomial time. A legal … Show more

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Cited by 90 publications
(74 citation statements)
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“…Most of the approaches propose an extension of Gelfond and Lifschitz's extended logic programming by adding preference information (Delgrande et al, 2003;Wang et al, 2000;Zhang & Foo, 1997). Other proposals attempt to extend the well founded semantics to logic programs with preferences (Brewka, 1996;Schauba & Wang, 2001), and an extension of van-Gelder's alternating fixpoint theory for logic programs with priorities has been proposed by Wang et al (2000). Gelfond and Son (1997) have proposed a methodology of reasoning with prioritized default in the language of logic programming under answer set semantics.…”
Section: Other Approachesmentioning
confidence: 99%
See 1 more Smart Citation
“…Most of the approaches propose an extension of Gelfond and Lifschitz's extended logic programming by adding preference information (Delgrande et al, 2003;Wang et al, 2000;Zhang & Foo, 1997). Other proposals attempt to extend the well founded semantics to logic programs with preferences (Brewka, 1996;Schauba & Wang, 2001), and an extension of van-Gelder's alternating fixpoint theory for logic programs with priorities has been proposed by Wang et al (2000). Gelfond and Son (1997) have proposed a methodology of reasoning with prioritized default in the language of logic programming under answer set semantics.…”
Section: Other Approachesmentioning
confidence: 99%
“…they are "external" to the logic program, whereas dynamic preferences appear within the logic program and are determined "on the fly". The most common form of preference consists in specifying preference conditions among rules (Brewka, 1996;Brewka & Eiter, 1999Delgrande, Schaub, & Tompits, 2000a, 2000bGelfond & Son, 1997;Schauba & Wang, 2001;, 2004Wang, Zhou, & Lin, 2000;Zhang & Foo, 1997), whereas, some recent proposals admit the expression of preference relations among atoms (Brewka, Niemela, & Truszczynski, 2003;Brewka, 2004;Sakama & Inoue, 2000;Wakaki et al, 2003). More sophisticated forms of preferences also allow the specification of priorities between conjunctions (disjunctions) of literals (Brewka et al, 2003;Delgrande et al, 2000a;Sakama & Inoue, 2000) and numerical penalties for suboptimal options (Brewka, 2004).…”
Section: Introductionmentioning
confidence: 99%
“…In fact, every ordered logic program can be transformed into a OCLP such that the answer set semantics reflects the credulous semantics of the OCLP. Dynamic preference in extended logic programs was introduced in [8] in order to obtain a better suited well-founded semantics. Although preferences are called dynamic they are not dynamic in our sense.…”
Section: Relationship To Other Approachesmentioning
confidence: 99%
“…Further semantics for priorities in extended logic programming, which are not based on answer sets, have been proposed in (Nute, 1994;Analyti & Pramanik, 1995;Brewka, 1996;Prakken & Sartor, 1997). They have quite different foundations such as logical entrenchment and specificity (Nute, 1994), reliability handling (Analyti & Pramanik, 1995), well-founded semantics (Brewka, 1996), or defeasible argumentation (Prakken & Sartor, 1997).…”
Section: Further Approachesmentioning
confidence: 99%
“…They have quite different foundations such as logical entrenchment and specificity (Nute, 1994), reliability handling (Analyti & Pramanik, 1995), well-founded semantics (Brewka, 1996), or defeasible argumentation (Prakken & Sartor, 1997).…”
Section: Further Approachesmentioning
confidence: 99%