On the Parity Problem in One-Dimensional Cellular Automata

We consider the parity problem in one-dimensional, binary, circular cellular automata: if the initial configuration contains an odd number of 1s, the lattice should converge to all 1s; otherwise, it should converge to all 0s. It is easy to see that the problem is ill-defined for even-sized lattices...

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Bibliographic Details
Main Authors: Heater Betel, Pedro P. B. de Oliveira, Paola Flocchini
Format: Article
Language:English
Published: Open Publishing Association 2012-08-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1208.2758v1