Geodesic
Properties of systems of defining relations for automata
Diskretnaya Matematika, Tome 16 (2004) no. 4, pp. 79-87 Cet article a éte moissonné depuis la source Math-Net.Ru

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We suggest a canonical system of defining relations for finite everywhere defined outputless automata. We construct a procedure to pass from an arbitrary finite system of defining relations to a canonical one and, as a corollary, a procedure to check whether a finite system of pairs of words is a defining system for a given automaton or not. We also suggest a procedure to pass from a traversal of all arcs of the automaton graph to a system of defining relations and vice versa. 
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I. S. Grunskii; A. S. Senchenko. Properties of systems of defining relations for automata. Diskretnaya Matematika, Tome 16 (2004) no. 4, pp. 79-87. http://geodesic.mathdoc.fr/item/DM_2004_16_4_a7/

[1] Sorkin Yu. I., “Teoriya opredelyayuschikh sootnoshenii dlya avtomatov”, Problemy kibernetiki, 9 (1961), 45–69

[2] Grunskii I. S., “Opredelyayuschie sootnosheniya dlya avtomatov”, Tretya Algebraicheskaya konferentsiya v Ukraine, Izd-vo Sumskogo ped. un-ta, Sumy, 2001, 159–160

[3] Bogomolov A. M., Salii V. N., Algebraicheskie osnovy teorii diskretnykh sistem, Nauka, Moskva, 1997 | MR | Zbl

[4] Kudryavtsev V. B., Aleshin S. V., Podkolzin A. S., Vvedenie v teoriyu avtomatov, Nauka, Moskva, 1985 | MR

[5] Grunskii I. S., Senchenko A. S., “Kanonicheskaya sistema opredelyayuschikh sootnoshenii dlya avtomatov”, Trudy IPMM NAN Ukrainy, 7, 2002, 58–63 | MR