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License: Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported license (CC BY-NC-ND 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.RTA.2011.123
URN: urn:nbn:de:0030-drops-31127
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2011/3112/
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Avanzini, Martin ; Eguchi, Naohi ; Moser, Georg

A Path Order for Rewrite Systems that Compute Exponential Time Functions

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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.

BibTeX - Entry

@InProceedings{avanzini_et_al:LIPIcs:2011:3112,
  author =	{Martin Avanzini and Naohi Eguchi and Georg Moser},
  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 =	{Manfred Schmidt-Schau{\ss}},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2011/3112},
  URN =		{urn:nbn:de:0030-drops-31127},
  doi =		{10.4230/LIPIcs.RTA.2011.123},
  annote =	{Keywords:  Runtime Complexity, Exponential Time Functions, Implicit Computational Complexity}
}

Keywords: Runtime Complexity, Exponential Time Functions, Implicit Computational Complexity
Collection: 22nd International Conference on Rewriting Techniques and Applications (RTA'11)
Issue Date: 2011
Date of publication: 26.04.2011

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