English

Decidable Expansions of Labelled Linear Orderings

Logic in Computer Science 2015-07-01 v2 Logic

Abstract

Consider a linear ordering equipped with a finite sequence of monadic predicates. If the ordering contains an interval of order type \omega or -\omega, and the monadic second-order theory of the combined structure is decidable, there exists a non-trivial expansion by a further monadic predicate that is still decidable.

Keywords

Cite

@article{arxiv.1102.2232,
  title  = {Decidable Expansions of Labelled Linear Orderings},
  author = {Alexis Bes and Alexander Rabinovich},
  journal= {arXiv preprint arXiv:1102.2232},
  year   = {2015}
}

Comments

18 pages

R2 v1 2026-06-21T17:24:41.625Z