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Zigzags in Turing machines

Anahi Gajardo
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Pierre Guillon


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.
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Dates and versions

hal-00460662 , version 1 (02-03-2010)
hal-00460662 , version 2 (30-12-2010)



Anahi Gajardo, Pierre Guillon. Zigzags in Turing machines. 2010. ⟨hal-00460662v2⟩
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