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Sofic Trace of a Cellular Automaton

Published 8 Mar 2007 in math.DS, cs.CC, and cs.DM | (0703241v1)

Abstract: The trace subshift of a cellular automaton is the subshift of all possible columns that may appear in a space-time diagram, ie the infinite sequence of states of a particular cell of a configuration; in the language of symbolic dynamics one says that it is a factor system. In this paper we study conditions for a sofic subshift to be the trace of a cellular automaton.

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