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International Workshop on Computer Science Logic

CSL 1989: CSL '89 pp 98–115Cite as

Generalizing allowedness while retaining completeness of SLDNF-resolution

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 440))

Abstract

We propose various generalizations of the usual definition of allowedness used to prove the completeness of SLDNF-resolution. In particular, we define the property of recursively covered programs and goals. We show that, for programs and goals that are call-consistent, even and recursively covered, SLDNF-resolution computes a complete set of ground answers. We then propose further generalized conditions that ensure that SLDNF-resolution is flounder-free. Moreover, this allows us to define a class of programs that subsumes all three major syntactic classes of programs and goals for which SLDNF-resolution is known to be complete; i.e., programs and goals that are either definite, or hierarchical and weakly allowed, or call-consistent, strict and allowed. We conjecture that our generalizations preserve the completeness of SLDNF-resolution. We also investigate the possibility of weakening the other syntactic conditions, i.e., even and call-consistent, while retaining completeness.

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Author information

Authors and Affiliations

  1. ECRC, Arabellastr. 17, D-8000, München 81, Germany

    Hendrik Decker

  2. Australian AI Institute, 1 Grattan St., 3053, Carlton, Australia

    Lawrence Cavedon

Authors
  1. Hendrik Decker
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  2. Lawrence Cavedon
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Editor information

Egon Börger Hans Kleine Büning Michael M. Richter

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© 1990 Springer-Verlag Berlin Heidelberg

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Decker, H., Cavedon, L. (1990). Generalizing allowedness while retaining completeness of SLDNF-resolution. In: Börger, E., Büning, H.K., Richter, M.M. (eds) CSL '89. CSL 1989. Lecture Notes in Computer Science, vol 440. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-52753-2_35

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  • DOI: https://doi.org/10.1007/3-540-52753-2_35

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52753-4

  • Online ISBN: 978-3-540-47137-0

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