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Goal-Directed Methods for Łukasiewicz Logic

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Computer Science Logic (CSL 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3210))

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Abstract

In this paper we present goal-directed deduction methods for Łukasiewicz infinite-valued logic Ł giving logic programming style algorithms which both have a logical interpretation and provide a suitable basis for implementation. We begin by considering a basic version with connections to calculi for other logics, then make refinements to obtain greater efficiency and termination properties, and to deal with further connectives and truth constants. We finish by considering applications of these algorithms to fuzzy logic programming.

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Author information

Authors and Affiliations

  1. Department of Computer Science, King’s College London, Strand, London, WC2R 2LS, UK

    George Metcalfe & Dov Gabbay

  2. Department of Computer Science, University of Turin, Corso Svizzera 185, 10149, Turin, Italy

    Nicola Olivetti

Authors
  1. George Metcalfe
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  2. Nicola Olivetti
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  3. Dov Gabbay
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Editor information

Editors and Affiliations

  1. Wroclaw University, Poland

    Jerzy Marcinkowski

  2. Polish Academy of Sciences, Institute of Computer Science, Poland

    Andrzej Tarlecki

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Metcalfe, G., Olivetti, N., Gabbay, D. (2004). Goal-Directed Methods for Łukasiewicz Logic. In: Marcinkowski, J., Tarlecki, A. (eds) Computer Science Logic. CSL 2004. Lecture Notes in Computer Science, vol 3210. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30124-0_10

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  • DOI: https://doi.org/10.1007/978-3-540-30124-0_10

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23024-3

  • Online ISBN: 978-3-540-30124-0

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