Monadic theories of infinite sequences under asynchronous automata transformations
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 2, pp. 117-124 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is proved that the decidability property of the monadic theories for infinite sequences remains under asynchronous automata transformations. We get a criterion of decidability for the monadic theory of a complete sequence.
Mots-clés : automata transformations
Keywords: monadic theories, complete sequences.
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N. N. Korneeva. Monadic theories of infinite sequences under asynchronous automata transformations. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 2, pp. 117-124. http://geodesic.mathdoc.fr/item/UZKU_2012_154_2_a11/

[1] Reina G., “Stepeni avtomatnykh preobrazovanii”, Kibern. sb., 14, 1977, 95–106

[2] Korneeva N. N., “Stepeni asinkhronno avtomatnykh preobrazovanii”, Izv. vuzov. Matem., 2011, no. 3, 30–40 | MR | Zbl

[3] Kudryavtsev V. B., Aleshin S. V., Podkolzin A. S., Vvedenie v teoriyu avtomatov, Nauka, M., 1985, 320 pp. | MR | Zbl

[4] Bairasheva V. R., Stepeni avtomatnykh preobrazovanii pochti periodicheskikh sverkhslov i sverkhslov s razreshimoi monadicheskoi teoriei, Dep. v VINITI 11.05.1989 No 3103-V89, Kazan, 1989, 29 pp.

[5] Muchnik An. A., Pritykin Yu. L., Semenov A. L., “Posledovatelnosti, blizkie k periodicheskim”, Usp. mat. nauk, 64:5 (2009), 21–96 | DOI | MR | Zbl

[6] McNaughton R., “Testing and generating infinite sequences by a finite automaton”, Inform. Control, 9 (1966), 521–530 | DOI | MR | Zbl

[7] Gordon H. G., “Complete Degrees of Finite-State Transformability”, Inform. Control, 32 (1976), 169–187 | DOI | MR | Zbl

[8] Korneeva N. N., “Ob avtomatnykh preobrazovaniyakh i monadicheskikh teoriyakh beskonechnykh posledovatelnostei”, Izv. vuzov. Matem., 2011, no. 8, 90–93 | MR | Zbl