Decompositions of automata and transition semigroups
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 w...
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Dokumentumtípus: | Cikk |
Megjelent: |
1998
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Sorozat: | Acta cybernetica
13 No. 4 |
Kulcsszavak: | Számítástechnika, Kibernetika |
Tárgyszavak: | |
Online Access: | http://acta.bibl.u-szeged.hu/12598 |
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001 | acta12598 | ||
005 | 20220613154955.0 | ||
008 | 161015s1998 hu o 0|| eng d | ||
022 | |a 0324-721X | ||
040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
041 | |a eng | ||
100 | 1 | |a Petković Tatjana | |
245 | 1 | 0 | |a Decompositions of automata and transition semigroups |h [elektronikus dokumentum] / |c Petković Tatjana |
260 | |c 1998 | ||
300 | |a 385-403 | ||
490 | 0 | |a Acta cybernetica |v 13 No. 4 | |
520 | 3 | |a 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. | |
650 | 4 | |a Természettudományok | |
650 | 4 | |a Számítás- és információtudomány | |
695 | |a Számítástechnika, Kibernetika | ||
700 | 0 | 1 | |a Ćirić Miroslav |e aut |
700 | 0 | 1 | |a Bogdanović Stojan |e aut |
856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/12598/1/cybernetica_013_numb_004_385-403.pdf |z Dokumentum-elérés |