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Necessary Conditions for Density Classification by Cellular Automata

Capcarrere, Mathieu S., Sipper, Moshe (2001) Necessary Conditions for Density Classification by Cellular Automata. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 64 (3 (2)). ISSN 1063-651X. (doi:10.1103/PhysRevE.64.036113) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:13561)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL:
http://dx.doi.org/10.1103/PhysRevE.64.036113

Abstract

Classifying the initial configuration of a binary-state cellular automaton (CA) as to whether it contains a majority of 0s or 1s-the so-called density-classification problem-has been studied over the past decade by researchers wishing to glean an understanding of how locally interacting systems compute global properties. In this paper we prove two necessary conditions that a CA must satisfy in order to classify density: (1) the density of the initial configuration must be conserved over time, and (2) the rule table must exhibit a density of 0.5.

Item Type: Article
DOI/Identification number: 10.1103/PhysRevE.64.036113
Subjects: Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming,
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Computing
Depositing User: Mark Wheadon
Date Deposited: 24 Nov 2008 17:58 UTC
Last Modified: 16 Nov 2021 09:51 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/13561 (The current URI for this page, for reference purposes)

University of Kent Author Information

Capcarrere, Mathieu S..

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