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Zigzags in Turing machines

We study one-head machines through symbolic and topological dynamics. In particular, a subshift is associated to the subshift, and we are interested in its complexity in terms of realtime recognition. We emphasize the class of one-head machines whose subshift can be recognized by a deterministic pushdown automaton. We prove that this class corresponds to particular restrictions on the head movement, and to equicontinuity in associated dynamical systems.

preprint2010arXivOpen access
Anahi GajardoPierre Guillon
Formal Languages and Automata Theory
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Open access2 authors1 topic
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Anahi GajardoPierre Guillon

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