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Improving the alternating fixpoint: The transformation approach

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Logic Programming And Nonmonotonic Reasoning (LPNMR 1997)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1265))

Abstract

We present a bottom-up algorithm for the computation of the well-founded model of non-disjunctive logic programs which is based on the set of elementary program transformations studied by Brass and Dix [4, 5]. The transformation approach has been introduced in more detail in [7]. In this paper we present a deeper analysis of its complexity and describe an optimized SCC-oriented evaluation. We show that by our method no more work is done than by the alternating fixpoint procedure [23, 24] and that there are examples where our algorithm is significantly superior.

On leave from: Universität Hannover, Institut für Informatik

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Author information

Authors and Affiliations

  1. Fakultät für Mathematik und Informatik, Universität Passau, D-94030, Passau, Germany

    Ulrich Zukowski & Burkhard Freitag

  2. Institut für Informatik Marienburger, Universität Hildesheim, Platz 22, D-31141, Hildesheim, Germany

    Stefan Brass

Authors
  1. Ulrich Zukowski
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  2. Stefan Brass
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  3. Burkhard Freitag
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Editor information

Jürgen Dix Ulrich Furbach Anil Nerode

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© 1997 Springer-Verlag Berlin Heidelberg

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Zukowski, U., Brass, S., Freitag, B. (1997). Improving the alternating fixpoint: The transformation approach. In: Dix, J., Furbach, U., Nerode, A. (eds) Logic Programming And Nonmonotonic Reasoning. LPNMR 1997. Lecture Notes in Computer Science, vol 1265. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63255-7_4

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  • DOI: https://doi.org/10.1007/3-540-63255-7_4

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  • Print ISBN: 978-3-540-63255-9

  • Online ISBN: 978-3-540-69249-2

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