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Sentence-Normalized Conditional Narrowing Modulo in Rewriting Logic and Maude

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Book cover Logic, Rewriting, and Concurrency

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9200))

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Abstract

This work studies the relationship between verifiable and computable answers for reachability problems in rewrite theories with an underlying membership equational logic. These problems have the form

$$\begin{aligned} (\exists \bar{x})t(\bar{x})\rightarrow ^* t'(\bar{x}) \end{aligned}$$

with \(\bar{x}\) some variables, or a conjunction of several of these subgoals. A calculus that solves this kind of problems working always with normalized terms and substitutions has been developed. Given a reachability problem in a rewrite theory, this calculus can compute any normalized answer that can be checked by rewriting, or one that can be instantiated to that answer. Special care has been taken in the calculus to keep membership information attached to each term, to make use of it whenever possible.

Partially supported by MINECO Spanish project StrongSoft (TIN2012–39391–C04–04) and Comunidad de Madrid program N-GREENS Software (S2013/ICE-2731).

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Acknowledgments

We are very grateful to the anonymous referees for all their helpful comments.

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Authors and Affiliations

  1. Facultad de Informática, Universidad Complutense de Madrid, Madrid, Spain

    Luis Aguirre, Narciso Martí-Oliet, Miguel Palomino & Isabel Pita

Authors
  1. Luis Aguirre
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  2. Narciso Martí-Oliet
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  3. Miguel Palomino
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  4. Isabel Pita
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Corresponding author

Correspondence to Narciso Martí-Oliet .

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Editors and Affiliations

  1. Universidad Complutense de Madrid, Madrid, Spain

    Narciso Martí-Oliet

  2. University of Oslo, Oslo, Norway

    Peter Csaba Ölveczky

  3. SRI International, Menlo Park, California, USA

    Carolyn Talcott

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Aguirre, L., Martí-Oliet, N., Palomino, M., Pita, I. (2015). Sentence-Normalized Conditional Narrowing Modulo in Rewriting Logic and Maude. In: Martí-Oliet, N., Ölveczky, P., Talcott, C. (eds) Logic, Rewriting, and Concurrency. Lecture Notes in Computer Science(), vol 9200. Springer, Cham. https://doi.org/10.1007/978-3-319-23165-5_2

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  • DOI: https://doi.org/10.1007/978-3-319-23165-5_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-23164-8

  • Online ISBN: 978-3-319-23165-5

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