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Intrinsic universality of a 1-dimensional reversible Cellular Automaton

  • Parallel and Distributed Systems II
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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1200))

Abstract

This paper deals with simulation and reversibility in the context of Cellular Automata (ca). We recall the definitions of ca and of the Block (bca) and Partitioned (pca) subclasses. We note that pca simulate ca. A simulation of reversible ca (r-ca) with reversible pca is built contradicting the intuition of known undecidability results. We build a 1-r-ca which is intrinsic universal, i.e., able to simulate any 1-r-ca.

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Rüdiger Reischuk Michel Morvan

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© 1997 Springer-Verlag Berlin Heidelberg

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Durand-Lose, J.O. (1997). Intrinsic universality of a 1-dimensional reversible Cellular Automaton. In: Reischuk, R., Morvan, M. (eds) STACS 97. STACS 1997. Lecture Notes in Computer Science, vol 1200. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0023479

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  • DOI: https://doi.org/10.1007/BFb0023479

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62616-9

  • Online ISBN: 978-3-540-68342-1

  • eBook Packages: Springer Book Archive

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