English

Complexity of checking whether two automata are synchronized by the same language

Formal Languages and Automata Theory 2014-05-15 v1

Abstract

A deterministic finite automaton is said to be synchronizing if it has a reset word, i.e. a word that brings all states of the automaton to a particular one. We prove that it is a PSPACE-complete problem to check whether the language of reset words for a given automaton coincides with the language of reset words for some particular automaton.

Keywords

Cite

@article{arxiv.1405.3576,
  title  = {Complexity of checking whether two automata are synchronized by the same language},
  author = {Marina Maslennikova},
  journal= {arXiv preprint arXiv:1405.3576},
  year   = {2014}
}

Comments

12 pages, 4 figures

R2 v1 2026-06-22T04:14:13.163Z