English

Sequentializing cellular automata

Dynamical Systems 2018-04-09 v2 Formal Languages and Automata Theory

Abstract

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.

Cite

@article{arxiv.1802.06668,
  title  = {Sequentializing cellular automata},
  author = {Jarkko Kari and Ville Salo and Thomas Worsch},
  journal= {arXiv preprint arXiv:1802.06668},
  year   = {2018}
}

Comments

24 pages; corrected typos and wording

R2 v1 2026-06-23T00:26:28.569Z