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arxiv: 1307.4910 · v1 · pith:DLMTR7X4new · submitted 2013-07-18 · 💻 cs.CC · cs.FL· math.DS

Hard Asymptotic Sets for One-Dimensional Cellular Automata

classification 💻 cs.CC cs.FLmath.DS
keywords asymptoticcellularhardone-dimensionalautomataautomatonconstructionsdetail
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We prove that the (language of the) asymptotic set (and the nonwandering set) of a one-dimensional cellular automaton can be $\SIGMA^1_1$-hard. We do not go into much detail, since the constructions are relatively standard.

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