Necessary conditions for density classification by cellular automata

M. S. Capcarrère, M. Sipper

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

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 (Formula presented)

Original languageEnglish
Pages (from-to)361131-361134
Number of pages4
JournalPhysical Review E
Volume64
Issue number3 II
DOIs
StatePublished - 1 Sep 2001
Externally publishedYes

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