We study the problem of sequentializing a cellular automaton without introducing any intermediate states, and only performing reversible permutations on the tape. We give a decidable characterization of cellular automata which can be written as a single left-to-right sweep of a bijective rule from left to right over an infinite tape.
CITATION STYLE
Kari, J., Salo, V., & Worsch, T. (2018). Sequentializing cellular automata. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10875 LNCS, pp. 72–87). Springer Verlag. https://doi.org/10.1007/978-3-319-92675-9_6
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