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arXiv · 2106.14673

On the Garden of Eden theorem for B-free subshifts

Gerhard Keller·Mariusz Lemanczyk·Christoph Richard·Daniel Sell
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Abstract

We prove that on B-free subshifts, with B satisfying the Erd\"os condition, all cellular automata are determined by monotone sliding block codes. In particular, this implies the validity of the Garden of Eden theorem for such systems.

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Gerhard Keller, Mariusz Lemanczyk, Christoph Richard, Daniel Sell. 2021-06-28. On the Garden of Eden theorem for B-free subshifts. https://arxiv.org/abs/2106.14673

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