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Annual Symposium on Theoretical Aspects of Computer Science

STACS 1994: STACS 94 pp 187–198Cite as

Combination of matching algorithms

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 775))

Abstract

This paper addresses the problem of systematically building a matching algorithm for the union of two disjoint equational theories. The question is under which conditions matching algorithms in the single theories are sufficient to obtain a matching algorithm in the combination? In general, the blind use of combination techniques introduces unification. Two different restrictions are considered in order to reduce this unification to matching. First, we show that combining matching algorithms (with linear constant restriction) is always sufficient for solving a pure fragment of combined matching problems. Second, we present a combined matching algorithm which is complete for the largest class of theories where unification is not needed, including collapse-free regular theories and linear theories.

This work has been partly supported by the Esprit Working Group-6028 CCL and the GDR Programmation of CNRS.

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Author information

Authors and Affiliations

  1. CRIN-CNRS & INRIA-Lorraine, BP 239, 54506, Vand∄uvre-lès-Nancy Cedex, France

    Christophe Ringeissen

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  1. Christophe Ringeissen
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Editor information

Patrice Enjalbert Ernst W. Mayr Klaus W. Wagner

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© 1994 Springer-Verlag Berlin Heidelberg

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Ringeissen, C. (1994). Combination of matching algorithms. In: Enjalbert, P., Mayr, E.W., Wagner, K.W. (eds) STACS 94. STACS 1994. Lecture Notes in Computer Science, vol 775. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57785-8_141

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  • DOI: https://doi.org/10.1007/3-540-57785-8_141

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57785-0

  • Online ISBN: 978-3-540-48332-8

  • eBook Packages: Springer Book Archive

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