English

Completely Reachable Almost Group Automata

Formal Languages and Automata Theory 2024-10-01 v1

Abstract

We consider finite deterministic automata such that their alphabets consist of exactly one letter of defect 1 and a set of permutations of the state set. We study under which conditions such an automaton is completely reachable. We focus our attention on the case when the set of permutations generates a transitive imprimitive group.

Keywords

Cite

@article{arxiv.2409.19172,
  title  = {Completely Reachable Almost Group Automata},
  author = {David Fernando Casas Torres},
  journal= {arXiv preprint arXiv:2409.19172},
  year   = {2024}
}
R2 v1 2026-06-28T19:00:14.067Z