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.
https://hal.inria.fr/hal-01824875 Contributor : Hal IfipConnect in order to contact the contributor Submitted on : Wednesday, June 27, 2018 - 4:37:55 PM Last modification on : Wednesday, August 29, 2018 - 11:02:02 AM Long-term archiving on: : Thursday, September 27, 2018 - 4:32:51 AM
Jarkko Kari, Ville Salo, Thomas Worsch. Sequentializing Cellular Automata. 24th International Workshop on Cellular Automata and Discrete Complex Systems (AUTOMATA), Jun 2018, Ghent, Belgium. pp.72-87, ⟨10.1007/978-3-319-92675-9_6⟩. ⟨hal-01824875⟩