Atoms in the structure of degrees of automata transformations and their monadic theories
Lobachevskii journal of mathematics, Tome 9 (2001), pp. 7-14.

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The existence of atoms of automaton reducibility degrees structure with essential different properties is proved. In the proof the priority method from the theory of recursive funtions was used.
Keywords: finite-state automata, reducibility, atoms, priority method.
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V. R. Bairasheva. Atoms in the structure of degrees of automata transformations and their monadic theories. Lobachevskii journal of mathematics, Tome 9 (2001), pp. 7-14. http://geodesic.mathdoc.fr/item/LJM_2001_9_a1/