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Inference of Termination Conditions for Numerical Loops in Prolog

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Logic for Programming, Artificial Intelligence, and Reasoning (LPAR 2001)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2250))

Abstract

Numerical computations form an essential part of almost any real-world program. Clearly, in order for a termination analyser to be of practical use it should contain a mechanism for inferring termination of such computations. However, this topic attracted less attention of the research community. In this work we concentrate on automatic termination inference for logic programs depending on numerical computations. Dershowitz et al. [8] showed that termination of general numerical computations, for instance on floating point numbers, may be counter-intuitive, i.e., the observed behaviour does not necessarily coincide with the theoretically expected one. Thus, we restrict ourselves to integer computations only.

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Author information

Authors and Affiliations

  1. Department of Computer Science, K.U. Leuven Celestijnenlaan 200A, B-3001, Heverlee, Belgium

    Alexander Serebrenik & Danny De Schreye

Authors
  1. Alexander Serebrenik
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  2. Danny De Schreye
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Editor information

Editors and Affiliations

  1. Department of Software, Technical University of Catalonia, Jordi Girona 1, 08034, Barcelona, Spain

    Robert Nieuwenhuis

  2. Department of Computer Science, University of Manchester, Kilburn Building, Oxford Road, M13 9PL, Manchester, UK

    Andrei Voronkov

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© 2001 Springer-Verlag Berlin Heidelberg

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Serebrenik, A., De Schreye, D. (2001). Inference of Termination Conditions for Numerical Loops in Prolog. In: Nieuwenhuis, R., Voronkov, A. (eds) Logic for Programming, Artificial Intelligence, and Reasoning. LPAR 2001. Lecture Notes in Computer Science(), vol 2250. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45653-8_45

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  • DOI: https://doi.org/10.1007/3-540-45653-8_45

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42957-9

  • Online ISBN: 978-3-540-45653-7

  • eBook Packages: Springer Book Archive

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