English

Subshifts, Languages and Logic

Discrete Mathematics 2016-11-25 v1 Logic in Computer Science

Abstract

We study the Monadic Second Order (MSO) Hierarchy over infinite pictures, that is tilings. We give a characterization of existential MSO in terms of tilings and projections of tilings. Conversely, we characterise logic fragments corresponding to various classes of infinite pictures (subshifts of finite type, so?c subshifts).

Keywords

Cite

@article{arxiv.0904.2457,
  title  = {Subshifts, Languages and Logic},
  author = {Emmanuel Jeandel and Guillaume Theyssier},
  journal= {arXiv preprint arXiv:0904.2457},
  year   = {2016}
}
R2 v1 2026-06-21T12:52:01.263Z