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arxiv: 1802.06668 · v2 · pith:AW4A4A6Snew · submitted 2018-02-19 · 🧮 math.DS · cs.FL

Sequentializing cellular automata

classification 🧮 math.DS cs.FL
keywords cellularautomatasequentializingtapeautomatonbijectivecharacterizationdecidable
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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.

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