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International Conference on Automated Deduction

CADE 1994: Automated Deduction — CADE-12 pp 693–707Cite as

On pot, pans and pudding or how to discover generalised critical Pairs

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 814))

Abstract

We develop a new critical pair criterion for term completion modulo equational theories. Our criterion relies on computing generalised critical pairs. It is compatible with most known critical pair criteria based on subconnectedness. Therefore our procedure can profit from the additional benefits of other critical pair criteria. A first test implementation has shown the practical usefulness of the new criterion for completion modulo associative and commutative theories.

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Authors and Affiliations

  1. Wilhelm-Schickard-Institut, Universität Tübingen, D-72076, Tübingen, Fed. Rep. of Germany

    Reinhard Bündgen

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  1. Reinhard Bündgen
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Alan Bundy

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© 1994 Springer-Verlag Berlin Heidelberg

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Bündgen, R. (1994). On pot, pans and pudding or how to discover generalised critical Pairs. In: Bundy, A. (eds) Automated Deduction — CADE-12. CADE 1994. Lecture Notes in Computer Science, vol 814. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58156-1_50

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  • DOI: https://doi.org/10.1007/3-540-58156-1_50

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58156-7

  • Online ISBN: 978-3-540-48467-7

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