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Characterising Space Complexity Classes via Knuth-Bendix Orders

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Logic for Programming, Artificial Intelligence, and Reasoning (LPAR 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6397))

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Abstract

We study three different space complexity classes: LINSPACE, PSPACE, and ESPACE and give complete characterisations for these classes. We employ rewrite systems, whose termination can be shown by Knuth Bendix orders. To capture LINSPACE, we consider positively weighted Knuth Bendix orders. To capture PSPACE, we consider unary rewrite systems, compatible with a Knuth Bendix order, where we allow for padding of the input. And to capture ESPACE, we make use of a non-standard generalisation of the Knuth Bendix order.

This research is partly supported by FWF (Austrian Science Fund) project P20133.

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Author information

Authors and Affiliations

  1. INRIA-LORIA, Nancy, France

    Guillaume Bonfante

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

    Georg Moser

Authors
  1. Guillaume Bonfante
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  2. Georg Moser
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Editors and Affiliations

  1. Institut für Computersprachen 185.2, Theory and Logic Group, TU Wien, Favoritenstraße 9-11, A-1040, Vienna, Austria

    Christian G. Fermüller

  2. School of Computer Science, University of Manchester, Oxford Road, Kilburn Building, M13 9PL, Manchester, United Kingdom

    Andrei Voronkov

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Bonfante, G., Moser, G. (2010). Characterising Space Complexity Classes via Knuth-Bendix Orders. In: Fermüller, C.G., Voronkov, A. (eds) Logic for Programming, Artificial Intelligence, and Reasoning. LPAR 2010. Lecture Notes in Computer Science, vol 6397. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16242-8_11

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  • DOI: https://doi.org/10.1007/978-3-642-16242-8_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16241-1

  • Online ISBN: 978-3-642-16242-8

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