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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{IVM_2011_8_a11,
     author = {N. N. Korneeva},
     title = {Automaton transformations and monadic theories of infinite sequences},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {90--93},
     publisher = {mathdoc},
     number = {8},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_8_a11/}
}
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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/