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Constraints for Argument Filterings

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SOFSEM 2007: Theory and Practice of Computer Science (SOFSEM 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4362))

Abstract

The dependency pair method is a powerful method for automatically proving termination of rewrite systems. When used with traditional simplification orders like LPO and KBO, argument filterings play a key role. In this paper we propose an encoding of argument filterings in propositional logic. By incorporating propositional encodings of simplification orders, the search for suitable argument filterings is turned into a satisfiability problem. Preliminary experimental results show that our logic-based approach is significantly faster than existing implementations.

This research is supported by FWF (Austrian Science Fund) project P18763. Some of the results in this paper were first announced in [14].

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Authors and Affiliations

  1. Institute of Computer Science, University of Innsbruck, Austria

    Harald Zankl, Nao Hirokawa & Aart Middeldorp

Authors
  1. Harald Zankl
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  2. Nao Hirokawa
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  3. Aart Middeldorp
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Jan van Leeuwen Giuseppe F. Italiano Wiebe van der Hoek Christoph Meinel Harald Sack František Plášil

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Zankl, H., Hirokawa, N., Middeldorp, A. (2007). Constraints for Argument Filterings. In: van Leeuwen, J., Italiano, G.F., van der Hoek, W., Meinel, C., Sack, H., Plášil, F. (eds) SOFSEM 2007: Theory and Practice of Computer Science. SOFSEM 2007. Lecture Notes in Computer Science, vol 4362. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69507-3_50

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  • DOI: https://doi.org/10.1007/978-3-540-69507-3_50

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69506-6

  • Online ISBN: 978-3-540-69507-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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