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

Authors Alex Borelllo, Gaetan Richard, Veronique Terrier



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LIPIcs.STACS.2011.273.pdf
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Alex Borelllo
Gaetan Richard
Veronique Terrier

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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)
https://doi.org/10.4230/LIPIcs.STACS.2011.273

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 $O(n^(k - 1))$.
Keywords
  • oblivious multi-head finite automata
  • cellular automata
  • parallel speed-up
  • simulation

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