RUS  ENG
Full version
JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2011 Number 8, Pages 90–93 (Mi ivm7870)

This article is cited in 2 papers

Brief communications

Automaton transformations and monadic theories of infinite sequences

N. N. Korneeva

Department of Algebra and Mathematical Logic, Kazan (Volga Region) Federal University, Kazan, Russia

Abstract: 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.

Keywords: automaton transformations, monadic theories of infinite sequences, complete sequences.

UDC: 519.71

Presented by the member of Editorial Board: M. M. Arslanov
Received: 27.12.2010


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:8, 78–80

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024