Geodesic
Efficient recognition of the completeness of a system of automaton functions with a complete Boolean part
Diskretnaya Matematika, Tome 15 (2003) no. 1, pp. 110-130.

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We consider automaton bases with complete Boolean part. We construct an algorithm to test completeness of such bases and give upper bounds for its complexity. 
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D. N. Babin. Efficient recognition of the completeness of a system of automaton functions with a complete Boolean part. Diskretnaya Matematika, Tome 15 (2003) no. 1, pp. 110-130. http://geodesic.mathdoc.fr/item/DM_2003_15_1_a5/

[1] Kudryavtsev V. B., “O moschnostyakh mnozhestv predpolnykh klassov nekotorykh funktsionalnykh sistem, svyazannykh s avtomatami”, Dokl. AN SSSR, 151:3 (1963), 493–496

[2] Kratko M. I., “Algoritmicheskaya nerazreshimost problemy raspoznavaniya polnoty dlya konechnykh avtomatov”, Dokl. DAN SSSR, 155 (1964), 35–37 | MR | Zbl

[3] Letichevskii A. A., “Usloviya polnoty dlya konechnykh avtomatov”, Vychisl. matem. i matem. fizika, 1961, no. 4, 702–710

[4] Babin D. N., “Razreshimyi sluchai zadachi o polnote avtomatnykh funktsii”, Diskretnaya matematika, 4:4 (1992), 41–56 | MR

[5] Babin D. N., “O razreshimosti problemy polnoty dlya spetsialnykh sistem avtomatnykh funktsii”, Diskretnaya matematika, 8:4 (1996), 79–91 | MR | Zbl

[6] Babin D. N., “Algoritmicheskaya razreshimost svoistv polnoty i $A$-polnoty konechnykh sistem avtomatnykh funktsii s lineinoi istinnostnoi chastyu”, Intellektualnye sistemy, 3 (1998), 51–69

[7] Babin D. N., “Konechnost mnozhestva avtomatnykh bazisov Posta s razreshimoi problemoi polnoty”, Diskretnaya matematika, 10:3 (1998), 57–64 | MR