A One-Dimensional Physically Universal Cellular Automaton
Formal Languages and Automata Theory
2016-02-22 v2 Dynamical Systems
Abstract
Physical universality of a cellular automaton was defined by Janzing in 2010 as the ability to implement an arbitrary transformation of spatial patterns. In 2014, Schaeffer gave a construction of a two-dimensional physically universal cellular automaton. We construct a one-dimensional version of the automaton.
Cite
@article{arxiv.1501.03988,
title = {A One-Dimensional Physically Universal Cellular Automaton},
author = {Ville Salo and Ilkka Törmä},
journal= {arXiv preprint arXiv:1501.03988},
year = {2016}
}
Comments
17 pages, 6 figures. Corrected an error in a figure