Equivalence of Mealy and Moore automata

Babcsányi, István: Equivalence of Mealy and Moore automata. In: Acta cybernetica, (14) 4. pp. 541-552. (2000)

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Abstract

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.

Item Type: Article
Journal or Publication Title: Acta cybernetica
Date: 2000
Volume: 14
Number: 4
ISSN: 0324-721X
Page Range: pp. 541-552
Language: angol
Uncontrolled Keywords: Természettudomány
Additional Information: Bibliogr.: p. 551-552.; Abstract
Date Deposited: 2016. Oct. 15. 12:25
Last Modified: 2018. Mar. 27. 10:09
URI: http://acta.bibl.u-szeged.hu/id/eprint/12648

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