Some Algebraic Properties Of Linear Synchronous Cellular Automata
Cellular Automata and Lattice Gases
2017-09-01 v1 Logic
Abstract
Relation between global transition function and local transition function of a homogeneous one dimensional cellular automaton (CA) is investigated for some standard transition functions. It could be shown that left shift and right shift CA are invertible. The final result of this paper states that the set of all left and right shift CA together with the identity CA on the same set forms an abelian group.
Keywords
Cite
@article{arxiv.1708.09751,
title = {Some Algebraic Properties Of Linear Synchronous Cellular Automata},
author = {Sreeya Ghosh and Sumita Basu},
journal= {arXiv preprint arXiv:1708.09751},
year = {2017}
}