2010 | OriginalPaper | Chapter
Zigzags in Turing Machines
Authors : Anahí Gajardo, Pierre Guillon
Published in: Computer Science – Theory and Applications
Publisher: Springer Berlin Heidelberg
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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.