Equivalence of Mealy and Moore automata

It is proved here that every Mealy automaton is a liomomorphic image of a Moore automaton, and among these Moore automata (up to isomorphism) there exists a unique one which is a homomorphic image of the others. A unique simple Moore automaton M is constructed (up to isomorphism) in the set MO(A) of...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerző: Babcsányi István
Dokumentumtípus: Cikk
Megjelent: 2000
Sorozat:Acta cybernetica 14 No. 4
Kulcsszavak:Számítástechnika, Kibernetika, Automaták
Tárgyszavak:
Online Access:http://acta.bibl.u-szeged.hu/12648
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490 0 |a Acta cybernetica  |v 14 No. 4 
520 3 |a It is proved here that every Mealy automaton is a liomomorphic image of a Moore automaton, and among these Moore automata (up to isomorphism) there exists a unique one which is a homomorphic image of the others. A unique simple Moore automaton M is constructed (up to isomorphism) in the set MO(A) of all Moore automata equivalent to a Mealy automaton A such that M is a homomorphic image of every Moore automaton belonging to MO{A). By the help of this construction, it can be decided in steps |X|k that automaton mappings inducing by states of a k-uniform finite Mealy [Moore] automaton are equal or not. The structures of simple k-uniform Mealy [Moore] automata are described by the results of [1]. It gives a possibility for us to get the k-uniform Mealy [Moore] automata from the simple k-uniform Mealy [Moore] automata. Based on these results, we give a construction for finite Mealy [Moore] automata. 
650 4 |a Természettudományok 
650 4 |a Számítás- és információtudomány 
695 |a Számítástechnika, Kibernetika, Automaták 
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