English

Logic for Unambiguous Context-Free Languages

Formal Languages and Automata Theory 2016-04-15 v1 Computational Complexity Discrete Mathematics Logic in Computer Science

Abstract

We give in this paper a logical characterization for unambiguous Context Free Languages, in the vein of descriptive complexity. A fragment of the logic characterizing context free languages given by Lautemann, Schwentick and Th\'erien [18] based on implicit definability is used for this aim. We obtain a new connection between two undecidable problems, a logical one and a language theoretical one.

Keywords

Cite

@article{arxiv.1604.04139,
  title  = {Logic for Unambiguous Context-Free Languages},
  author = {Yassine Hachaïchi},
  journal= {arXiv preprint arXiv:1604.04139},
  year   = {2016}
}
R2 v1 2026-06-22T13:32:27.259Z