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Meta-rule synthesis from crossed rewrite systems

  • Chapter 2 Infinite Terms, Non-Terminating Systems, And Termination
  • Conference paper
  • First Online:
Conditional and Typed Rewriting Systems (CTRS 1990)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 516))

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Abstract

Infinite sets of rewrite rules may be generated by completion of term rewriting systems. To cope with this problem, detection of divergence and automatic generation of meta-rules from syntactic conditions of divergence are proposed in this paper. We show that in a reasonably large class of divergent systems, equational rewriting is enough to simulate rewriting with meta-rules, but the full power of typed rewriting and conditional rewriting is needed for some divergence problems.

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Author information

Authors and Affiliations

  1. Crin and Inria-Lorraine Campus Scientifique, BP 239, 54506, Vandœuvre-lès-Nancy, France

    Hélène Kirchner & Miki Hermann

Authors
  1. Hélène Kirchner
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  2. Miki Hermann
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Editor information

S. Kaplan M. Okada

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© 1991 Springer-Verlag Berlin Heidelberg

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Kirchner, H., Hermann, M. (1991). Meta-rule synthesis from crossed rewrite systems. In: Kaplan, S., Okada, M. (eds) Conditional and Typed Rewriting Systems. CTRS 1990. Lecture Notes in Computer Science, vol 516. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54317-1_87

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  • DOI: https://doi.org/10.1007/3-540-54317-1_87

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54317-6

  • Online ISBN: 978-3-540-47558-3

  • eBook Packages: Springer Book Archive

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