English

On the future cover of a sofic shift

Dynamical Systems 2026-02-10 v3

Abstract

The paper contains a new proof of the theorem by Krieger which establishes the canonicity of the future cover of a sofic shift. In addition the paper describes a method to produce new canonical covers from a given one, resulting in canonical covers related to, but generally different from the future cover.

Keywords

Cite

@article{arxiv.2512.01368,
  title  = {On the future cover of a sofic shift},
  author = {Klaus Thomsen},
  journal= {arXiv preprint arXiv:2512.01368},
  year   = {2026}
}

Comments

v3: More corrections and a sharper editing. 28 pages

R2 v1 2026-07-01T08:03:11.484Z