A One-Dimensional Physically Universal Cellular Automaton

Published 16 Jan 2015 in cs.FL and math.DS | (1501.03988v2)

Abstract: Physical universality of a cellular automaton was defined by Janzing in 2010 as the ability to implement an arbitrary transformation of spatial patterns. In 2014, Schaeffer gave a construction of a two-dimensional physically universal cellular automaton. We construct a one-dimensional version of the automaton.

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