License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.STACS.2015.367
URN: urn:nbn:de:0030-drops-49275
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2015/4927/
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Grandjean, Anaël ; Poupet, Victor

Comparing 1D and 2D Real Time on Cellular Automata

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Abstract

We study the influence of the dimension of cellular automata (CA) for real time language recognition of one-dimensional languages with parallel input. Specifically, we focus on the question of determining whether every language that can be recognized in real time on a 2-dimensional CA working on the Moore neighborhood can also be recognized in real time by a 1-dimensional CA working on the standard two-way neighborhood. We show that 2-dimensional CA in real time can perform a linear number of simulations of a 1-dimensional real time CA. If the two classes are equal then the number of simulated instances can be polynomial.

BibTeX - Entry

@InProceedings{grandjean_et_al:LIPIcs:2015:4927,
  author =	{Ana{\"e}l Grandjean and Victor Poupet},
  title =	{{Comparing 1D and 2D Real Time on Cellular Automata}},
  booktitle =	{32nd International Symposium on Theoretical Aspects of Computer Science (STACS 2015)},
  pages =	{367--378},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-78-1},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{30},
  editor =	{Ernst W. Mayr and Nicolas Ollinger},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2015/4927},
  URN =		{urn:nbn:de:0030-drops-49275},
  doi =		{10.4230/LIPIcs.STACS.2015.367},
  annote =	{Keywords: Cellular automata, real time, language recognition}
}

Keywords: Cellular automata, real time, language recognition
Collection: 32nd International Symposium on Theoretical Aspects of Computer Science (STACS 2015)
Issue Date: 2015
Date of publication: 26.02.2015

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