English

A note on decidability of cellularity

Formal Languages and Automata Theory 2010-04-13 v1

Abstract

A regular language L is said to be cellular if there exists a 1-dimensional cellular automaton CA such that L is the language consisting of the finite blocks associated with CA. It is shown that cellularity of a regular language is decidable using a new characterization of cellular languages formulated by Freiling, Goldstein and Moews and implied by a deep result of Boyle in symbolic dynamics.

Cite

@article{arxiv.1004.1946,
  title  = {A note on decidability of cellularity},
  author = {Udayan B. Darji and Steve W. Seif},
  journal= {arXiv preprint arXiv:1004.1946},
  year   = {2010}
}
R2 v1 2026-06-21T15:09:20.045Z