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Generalized predicate completion

  • Logic Programming
  • Conference paper
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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 444))

Abstract

Circumscription, proposed by McCarthy, is a formalism of non-monotonic reasoning. Predicate completion is an approach, proposed by Clark, to closed world reasoning which assumes that given sufficient conditions on a predicate are also necessary. Reiter has shown that for clausal sentences which are Horn in a predicate p, the circumscription of p logically subsumes the predicate completion of p. In this paper, we present a generalized completion of a predicate p, which is appropriate for clausal sentences which are not Horn in p. The main results of this paper are: (1) for non-overlapping clausal sentences (which may not necessarily be Horn in the predicate p), the circumscription of p logically subsumes the generalized completion of p; (2) for non-overlapping clausal sentences which are collapsible wrt (with respect to) the predicate p, the generalized completion of p is even logically equivalent to the circumscription of p.

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References

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S. Ramani R. Chandrasekar K. S. R. Anjaneyulu

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© 1990 Springer-Verlag Berlin Heidelberg

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Togashi, A., Hou, BH., Noguchi, S. (1990). Generalized predicate completion. In: Ramani, S., Chandrasekar, R., Anjaneyulu, K.S.R. (eds) Knowledge Based Computer Systems. KBCS 1989. Lecture Notes in Computer Science, vol 444. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0018387

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  • DOI: https://doi.org/10.1007/BFb0018387

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52850-0

  • Online ISBN: 978-3-540-47168-4

  • eBook Packages: Springer Book Archive

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