Computation and Universality: Class IV versus Class III Cellular Automata
Cellular Automata and Lattice Gases
2013-04-05 v1
Abstract
This paper examines the claim that cellular automata (CA) belonging to Class III (in Wolfram's classification) are capable of (Turing universal) computation. We explore some chaotic CA (believed to belong to Class III) reported over the course of the CA history, that may be candidates for universal computation, hence spurring the discussion on Turing universality on both Wolfram's classes III and IV.
Keywords
Cite
@article{arxiv.1304.1242,
title = {Computation and Universality: Class IV versus Class III Cellular Automata},
author = {Genaro J. Martinez and Juan C. Seck-Tuoh-Mora and Hector Zenil},
journal= {arXiv preprint arXiv:1304.1242},
year = {2013}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1208.2456