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Analyses of inconsistency for incremental equational logic programming

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Programming Language Implementation and Logic Programming (PLILP 1992)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 631))

Abstract

The problem of unifying pairs of terms with respect to an equational theory ε (as well as detecting the inconsistency of a system of equations) is in general undecidable. We propose a static analysis which allows to detect inconsistent sets of equations. The method consists of building an abstract narrower for equational theories and executing the sets of equations to be detected for inconsistency in the approximated narrower. The accuracy of this method is enhanced by some simple loop-checking technique. We show that our method can also be actively used for pruning the search tree of an incremental equational constraint solver. Our method results to well relate and integrate with other methods in the literature.

This work has been partially supported by CICYT under grant TIC-92-0793

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Author information

Authors and Affiliations

  1. Departamento de Sistemas Informáticos y Computación, Universidad Politécnica de Valencia, Camino de Vera s/n, Apdo. 22012, 46020, Valencia, Spain

    Maria Alpuente

  2. Dipartimento di Informatica, Università di Pisa, Corso Italia 40, 56125, Pisa, Italy

    Moreno Falaschi & Ferdinando Manzo

Authors
  1. Maria Alpuente
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  2. Moreno Falaschi
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  3. Ferdinando Manzo
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Editor information

Maurice Bruynooghe Martin Wirsing

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Alpuente, M., Falaschi, M., Manzo, F. (1992). Analyses of inconsistency for incremental equational logic programming. In: Bruynooghe, M., Wirsing, M. (eds) Programming Language Implementation and Logic Programming. PLILP 1992. Lecture Notes in Computer Science, vol 631. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55844-6_153

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  • DOI: https://doi.org/10.1007/3-540-55844-6_153

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55844-6

  • Online ISBN: 978-3-540-47297-1

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