A Linear Acceleration Theorem for 2D Cellular Automata on all Complete Neighborhoods
Formal Languages and Automata Theory
2016-10-04 v1 Cellular Automata and Lattice Gases
Abstract
Linear acceleration theorems are known for most computational models. Although such results have been proved for two-dimensional cellular automata working on specific neighborhoods, no general construction was known. We present here a technique of linear acceleration for all two-dimensional languages recognized by cellular automata working on complete neighborhoods.
Keywords
Cite
@article{arxiv.1610.00338,
title = {A Linear Acceleration Theorem for 2D Cellular Automata on all Complete Neighborhoods},
author = {Anaël Grandjean and Victor Poupet},
journal= {arXiv preprint arXiv:1610.00338},
year = {2016}
}