English

Zigzags in Turing machines

Formal Languages and Automata Theory 2015-05-18 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1003.0588,
  title  = {Zigzags in Turing machines},
  author = {Anahi Gajardo and Pierre Guillon},
  journal= {arXiv preprint arXiv:1003.0588},
  year   = {2015}
}

Comments

17p

R2 v1 2026-06-21T14:52:54.336Z