Limit cycle for composited cellar automata

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Abstract

We know that a few uniform cellular automata have maximum cycle lengths. However, there are many uniform cellular automata, and checking the cycles of all uniform cellular automata is impractical. In this paper, we define a cellular automaton by composition and show how its cycles are related. © 2012 Springer-Verlag Berlin Heidelberg.

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Ishida, T., & Inokuchi, S. (2012). Limit cycle for composited cellar automata. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7495 LNCS, pp. 32–41). Springer Verlag. https://doi.org/10.1007/978-3-642-33350-7_4

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