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Eliminating Dummy Elimination

  • Conference paper
Automated Deduction - CADE-17 (CADE 2000)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1831))

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Abstract

This paper is concerned with methods that automatically prove termination of term rewrite systems. The aim of dummy elimination, a method to prove termination introduced by Ferreira and Zantema, is to transform a given rewrite system into a rewrite system whose termination is easier to prove. We show that dummy elimination is subsumed by the more recent dependency pair method of Arts and Giesl. More precisely, if dummy elimination succeeds in transforming a rewrite system into a so-called simply terminating rewrite system then termination of the given rewrite system can be directly proved by the dependency pair technique. Even stronger, using dummy elimination as a preprocessing step to the dependency pair technique does not have any advantages either. We show that to a large extent these results also hold for the argument filtering transformation of Kusakari et al.

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Author information

Authors and Affiliations

  1. Computer Science Department, University of New Mexico, Albuquerque, NM, 87131, USA

    Jürgen Giesl

  2. Institute of Information Sciences and Electronics, University of Tsukuba, Tsukuba, 305-8573, Japan

    Aart Middeldorp

Authors
  1. Jürgen Giesl
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  2. Aart Middeldorp
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Editor information

Editors and Affiliations

  1. Toyota Technological Institute at Chicago, 1427 E. 60th Street, 60637, Chicago, Illinois

    David McAllester

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© 2000 Springer-Verlag Berlin Heidelberg

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Giesl, J., Middeldorp, A. (2000). Eliminating Dummy Elimination. In: McAllester, D. (eds) Automated Deduction - CADE-17. CADE 2000. Lecture Notes in Computer Science(), vol 1831. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10721959_25

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  • DOI: https://doi.org/10.1007/10721959_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67664-5

  • Online ISBN: 978-3-540-45101-3

  • eBook Packages: Springer Book Archive

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