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DOI: 10.4230/LIPIcs.STACS.2011.273

A speed-up of oblivious multi-head finite automata by cellular automata

Authors: Alex Borelllo, Gaetan Richard, and Veronique Terrier

Published in: LIPIcs, Volume 9, 28th International Symposium on Theoretical Aspects of Computer Science (STACS 2011)

Abstract

In this paper, we present a parallel speed-up of a simple, yet significantly powerful, sequential model by cellular automata. The simulated model is called oblivious multi-head finite automata and is characterized by the fact that the trajectory of the heads only depends on the length of the input word. While the original $k$-head finite automaton works in time $O(n^k)$, its corresponding cellular automaton performs the same task in time $O(n^(k-1)log(n))$ and space $O(n^(k - 1))$.

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Alex Borelllo, Gaetan Richard, and Veronique Terrier. A speed-up of oblivious multi-head finite automata by cellular automata. In 28th International Symposium on Theoretical Aspects of Computer Science (STACS 2011). Leibniz International Proceedings in Informatics (LIPIcs), Volume 9, pp. 273-283, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)

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@InProceedings{borelllo_et_al:LIPIcs.STACS.2011.273,
  author =	{Borelllo, Alex and Richard, Gaetan and Terrier, Veronique},
  title =	{{A speed-up of oblivious multi-head finite automata by cellular automata}},
  booktitle =	{28th International Symposium on Theoretical Aspects of Computer Science (STACS 2011)},
  pages =	{273--283},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-25-5},
  ISSN =	{1868-8969},
  year =	{2011},
  volume =	{9},
  editor =	{Schwentick, Thomas and D\"{u}rr, Christoph},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2011.273},
  URN =		{urn:nbn:de:0030-drops-30172},
  doi =		{10.4230/LIPIcs.STACS.2011.273},
  annote =	{Keywords: oblivious multi-head finite automata, cellular automata, parallel speed-up, simulation}
}

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A speed-up of oblivious multi-head finite automata by cellular automata

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