Embedding Cellular Automata into Reversible Ones
نویسنده
چکیده
To oli showed that every cellular automaton of an arbitrary dimension d can be embedded into a reversible cellular automaton of dimension d+1. He asked \whether an arbitrary cellular automaton can be embedded in a reversible one having the same number of dimensions" and conjectured that this is not possible. We show that his conjecture is true. Even if one imposes only a weak, natural condition on embeddings, no cellular automaton which possesses a Garden of Eden con guration can be embedded into a reversible cellular automaton of the same dimension.
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