English

Completely reachable automata: an interplay between automata, graphs, and trees

Formal Languages and Automata Theory 2022-01-14 v1

Abstract

A deterministic finite automaton in which every non-empty set of states occurs as the image of the whole state set under the action of a suitable input word is called completely reachable. We characterize such automata in terms of graphs and trees.

Keywords

Cite

@article{arxiv.2201.05075,
  title  = {Completely reachable automata: an interplay between automata, graphs, and trees},
  author = {Evgeniya A. Bondar and David Casas and Mikhail V. Volkov},
  journal= {arXiv preprint arXiv:2201.05075},
  year   = {2022}
}

Comments

29 pages, 16 figures

R2 v1 2026-06-24T08:49:13.138Z