Petković Tatjana and Ćirić Miroslav and Bogdanović Stojan: Decompositions of automata and transition semigroups. In: Acta cybernetica, (13) 4. pp. 385-403. (1998)
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Abstract
The purpose of this paper is to describe structural properties of automata whose transition semigroups have a zero, left zero, right zero or bi-zero, or are nilpotent extensions of rectangular bands, left zero bands or right zero bands, or are nilpotent. To describe the structure of these automata we use various well-known decomposition methods of automata theory - direct sum decompositions, subdirect and parallel decompositions, and extensions of automata. Automata that appear as the components in these decompositions belong to some well-known classes of automata, such as directable, definite, reverse definite, generalized definite and nilpotent automata. But, we also introduce some new classes of automata: generalized directable, trapped, onetrapped, locally directable, locally one-trapped, locally nilpotent and locally definite automata. We explain relationships between the classes of all these automata.
Item Type: | Article |
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Journal or Publication Title: | Acta cybernetica |
Date: | 1998 |
Volume: | 13 |
Number: | 4 |
ISSN: | 0324-721X |
Page Range: | pp. 385-403 |
Language: | English |
Place of Publication: | Szeged |
Related URLs: | http://acta.bibl.u-szeged.hu/38506/ |
Uncontrolled Keywords: | Számítástechnika, Kibernetika |
Additional Information: | Bibliogr.: p. 401-403. ; összefoglalás angol nyelven |
Subjects: | 01. Natural sciences 01. Natural sciences > 01.02. Computer and information sciences |
Date Deposited: | 2016. Oct. 15. 12:26 |
Last Modified: | 2022. Jun. 13. 15:49 |
URI: | http://acta.bibl.u-szeged.hu/id/eprint/12598 |
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