Complexity of checking whether two automata are synchronized by the same language
arXiv:1405.3576
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.
12 pages, 4 figures