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One Dimensional $n$ary Density Classification Using Two Cellular Automaton Rules

H. F. Chau·L. W. Siu·K. K. Yan
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Abstract

Suppose each site on a one-dimensional chain with periodic boundary condition may take on any one of the states $0,1,..., n-1$, can you find out the most frequently occurring state using cellular automaton? Here, we prove that while the above density classification task cannot be resolved by a single cellular automaton, this task can be performed efficiently by applying two cellular automaton rules in succession.

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H. F. Chau, L. W. Siu, K. K. Yan. 1998-10-22. One Dimensional $n$ary Density Classification Using Two Cellular Automaton Rules. https://doi.org/10.1142/s0129183199000681

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