2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125323The 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.10 pages + 6 for included proofsDynamical SystemsComputational ComplexityDiscrete Mathematics37B15Sofic Trace of a Cellular Automatontext