Towards a Rice Theorem on Traces of Cellular Automata

Abstract : The trace subshift of a cellular automaton is the subshift of all possible columns that may appear in a space-time diagram. We prove the undecidability of a rather large class of problems over trace subshifts of cellular automata.
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Julien Cervelle, Pierre Guillon. Towards a Rice Theorem on Traces of Cellular Automata. 32th International Symposium on Mathematical Foundations of Computer Science (MFCS'07), Aug 2007, Český Krumlov, Czech Republic, Czech Republic. pp.310-319. ⟨hal-00620284⟩

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