English

Principal ideal languages and synchronizing automata

Formal Languages and Automata Theory 2013-04-12 v1

Abstract

We study ideal languages generated by a single word. We provide an algorithm to construct a strongly connected synchronizing automaton for which such a language serves as the language of synchronizing words. Also we present a compact formula to calculate the syntactic complexity of this language.

Keywords

Cite

@article{arxiv.1304.3307,
  title  = {Principal ideal languages and synchronizing automata},
  author = {Vladimir V. Gusev and Marina I. Maslennikova and Elena V. Pribavkina},
  journal= {arXiv preprint arXiv:1304.3307},
  year   = {2013}
}

Comments

15 pages, 9 figures

R2 v1 2026-06-21T23:58:00.983Z