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On the directability of automata. (English) Zbl 0718.68053
Summary: We present some partial results on the hypothesis due to J. Černý [Poznámka k homogénnym experimentom s konečnými automatmi. Mat. fyz. čas. SAV 14, 208-215 (1964)] and a necessary and sufficient condition for the directability of an automaton.
MSC:
68Q45 Formal languages and automata
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References:
[1] J. Černý: Poznámka k homogennym experimentom s konečnými automatmi. Mat. fyz. čas. SAV 14 (1964), 208-215.
[2] J. Černý A. Pirická, B. Rosenauerová: On directable automata. Kybernetika 7 (1971), 289-297. · Zbl 0223.94029
[3] J. E. Pin: Le problème de la synchronisation, Contribution à l’étude de la conjecture de Černý. Thèse, 3e cycle, Paris 1978.
[4] J. E. Pin: Le problème de la synchronisation et la conjecture de Černý. Non Commutative Structures in Algebra and Geometric Combinatorics (A. De Luca, CNR (1978), pp. 46-58.
[5] J. E. Pin: On two combinatorial problems arising from automata theory. Ann. Discrete Math. 17(1983), 535-548. · Zbl 0523.68042 · doi:10.1016/S0304-0208(08)73432-7
[6] J. E. Pin: Sur les mots synchronisants dans un automate fini. Elektron. Informationsverarb. Kybernet. 14 (1978), 283-289. · Zbl 0392.68051
[7] J. E. Pin: Sur un cas particulier de la conjecture de Černý. Automata, Languages and Programming – Proceedings 5th International Conference (G. Ausiello, C. Böhm, (Lecture Notes in Computer Science 62), Springer-Verlag, Berlin–Heidelberg–New York 1978, pp. 345-352. · Zbl 0389.68036
[8] P. H. Starke: Eine Bemerkung über homogene Experimente. Elektron. Informationsverarb. Kybernet. 2 (1966), 257-259. · Zbl 0166.27003
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