Product decomposition for surjective 2-block NCCA

In this paper we define products of one-dimensional Number Conserving Cellular Automata (NCCA) and show that surjective NCCA with 2 blocks (i.e radius 1/2) can always be represented as products of shifts and identites. In particular, this shows that surjective 2-block NCCA are injective.

Bibliographic Details
Main Author: Felipe García-Ramos
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2011-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/2971/pdf