One Dimensional nary Density Classification Using Two Cellular Automaton Rules
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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