A sequential solution to the density classification task using an intermediate alphabet

Published 10 Sep 2024 in cs.DM | (2409.06536v1)

Abstract: We present a sequential cellular automaton of radius 2 1 as a solution to the density classification task that makes use of an intermediate alphabet, and converges to a clean fixed point with no remaining auxiliary or intermediate information. We extend this solution to arbitrary finite alphabets and to configurations in higher dimensions.

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Nonexistence of synchronous-update solution for density classification with an intermediate alphabet

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