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DOI: 10.4230/LIPIcs.RTA.2011.123

A Path Order for Rewrite Systems that Compute Exponential Time Functions

Authors: Martin Avanzini, Naohi Eguchi, and Georg Moser

Published in: LIPIcs, Volume 10, 22nd International Conference on Rewriting Techniques and Applications (RTA'11) (2011)

Abstract

In this paper we present a new path order for rewrite systems, the exponential path order EPO*. Suppose a term rewrite system is compatible with EPO*, then the runtime complexity of this rewrite system is bounded from above by an exponential function. Furthermore, the class of function computed by a rewrite system compatible with EPO* equals the class of functions computable in exponential time on a Turing machine.

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Martin Avanzini, Naohi Eguchi, and Georg Moser. A Path Order for Rewrite Systems that Compute Exponential Time Functions. In 22nd International Conference on Rewriting Techniques and Applications (RTA'11). Leibniz International Proceedings in Informatics (LIPIcs), Volume 10, pp. 123-138, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)

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@InProceedings{avanzini_et_al:LIPIcs.RTA.2011.123,
  author =	{Avanzini, Martin and Eguchi, Naohi and Moser, Georg},
  title =	{{A Path Order for Rewrite Systems that Compute Exponential Time Functions}},
  booktitle =	{22nd International Conference on Rewriting Techniques and Applications (RTA'11)},
  pages =	{123--138},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-30-9},
  ISSN =	{1868-8969},
  year =	{2011},
  volume =	{10},
  editor =	{Schmidt-Schauss, Manfred},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.RTA.2011.123},
  URN =		{urn:nbn:de:0030-drops-31127},
  doi =		{10.4230/LIPIcs.RTA.2011.123},
  annote =	{Keywords: Runtime Complexity, Exponential Time Functions, Implicit Computational Complexity}
}

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A Path Order for Rewrite Systems that Compute Exponential Time Functions

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