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Computing stable and partial stable models of extended disjunctive logic programs

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Book cover Non-Monotonic Extensions of Logic Programming (NMELP 1994)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 927))

Abstract

In [Prz91], Przymusinski introduced the partial (or 3-valued) stable model semantics which extends the (2-valued) stable model semantics defined originally by Gelfond and Lifschitz [GL88]. In this paper we describe a procedure to compute the collection of all partial stable models of an extended disjunctive logic program. This procedure consists in transforming an extended disjunctive logic program into a constrained disjunctive program free of negation-by-default whose set of 2-valued minimal models corresponds to the set of partial stable models of the original program.

Support for this paper was provided by the Air Force Office of Scientific Research under grant number 91-0350, and the National Science Foundation under grant numbers IRI-8916059 and IRI 9300691.

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Jürgen Dix Louis Moniz Pereira Teodor C. Przymusinski

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© 1995 Springer-Verlag Berlin Heidelberg

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Ruiz, C., Minker, J. (1995). Computing stable and partial stable models of extended disjunctive logic programs. In: Dix, J., Pereira, L.M., Przymusinski, T.C. (eds) Non-Monotonic Extensions of Logic Programming. NMELP 1994. Lecture Notes in Computer Science, vol 927. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0030666

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  • DOI: https://doi.org/10.1007/BFb0030666

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  • Print ISBN: 978-3-540-59467-3

  • Online ISBN: 978-3-540-49272-6

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