Mealy-automata in which the output-equivalence is a congruence
Every Mealy-automaton whose output equivalence is not the universal relation has a non-trivial simple state-homomorphic image. Thus the simple Mealy-automata play an importante role in the theory of Mealy-automata. It is very difficult to describe the structure of these automata. Contrary to the ear...
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| Main Authors: | |
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| Format: | Article |
| Published: |
1994
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| Series: | Acta cybernetica
11 No. 3 |
| Kulcsszavak: | Számítástechnika, Kibernetika |
| Subjects: | |
| Online Access: | http://acta.bibl.u-szeged.hu/12524 |
| Summary: | Every Mealy-automaton whose output equivalence is not the universal relation has a non-trivial simple state-homomorphic image. Thus the simple Mealy-automata play an importante role in the theory of Mealy-automata. It is very difficult to describe the structure of these automata. Contrary to the earlier investigations, in our present paper we concentrate our attention only to a special kind of simplicity, namely the strongly simplicity. Besides we give a construction for strongly simple Mealy-automata, we also describe the structure of all Mealy-automata which have strongly simple state-homomorphic image. |
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| Physical Description: | 121-126 |
| ISSN: | 0324-721X |