Automaton transformations and monadic theories of infinite sequences
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2011), pp. 90-93.

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In this paper we prove that the set of degrees of asynchronous automaton transformations of infinite sequences with a solvable monadic theory is an initial segment in the set of degrees of asynchronous automaton transformations. We prove a solvability criterion for a monadic theory of a complete sequence.
Mots-clés : automaton transformations
Keywords: monadic theories of infinite sequences, complete sequences.
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N. N. Korneeva. Automaton transformations and monadic theories of infinite sequences. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2011), pp. 90-93. http://geodesic.mathdoc.fr/item/IVM_2011_8_a11/

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