A condition characterizing the class of regular languages which have several nonisomorphic minimal reversible automata is presented. The condition concerns the structure of the minimum automaton accepting the language under consideration. It is also observed that there exist reduced reversible automata which are not minimal, in the sense that all the automata obtained by merging some of their equivalent states are irreversible. Furthermore, it is proved that if the minimum deterministic automaton accepting a reversible language contains a loop in the “irreversible part” then it is always possible to construct infinitely many reduced reversible automata accepting such a language.
|Titolo:||Minimal and reduced reversible automata|
|Settore Scientifico Disciplinare:||Settore INF/01 - Informatica|
|Data di pubblicazione:||2016|
|Digital Object Identifier (DOI):||10.1007/978-3-319-41114-9_13|
|Tipologia:||Book Part (author)|
|Appare nelle tipologie:||03 - Contributo in volume|