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Diskretnaya Matematika, 2003, Volume 15, Issue 3, Pages 66–75
DOI: https://doi.org/10.4213/dm206 (Mi dm206) 		 
On the properties of a special composition of automata

A. V. Babash
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DOI: https://doi.org/10.4213/dm206
Abstract: We suggest algorithms for constructing models of a finite automaton which are new automata such that the equations describing the functioning of these models are consequences of the equations describing the functioning of the initial automaton. These new automata are constructed with the use of powers of the initial automaton and some additional functions on the output words. Applications of the results are related to the problem on determining the state of an automaton on the base of the input sequences and the corresponding output sequences.
Received: 10.07.2002
English version:
Discrete Mathematics and Applications, 2003, Volume 13, Issue 5, Pages 497–506
DOI: https://doi.org/10.1515/156939203322694763
Bibliographic databases:
UDC: 519.7
Language: Russian
Citation: A. V. Babash, “On the properties of a special composition of automata”, Diskr. Mat., 15:3 (2003), 66–75; Discrete Math. Appl., 13:5 (2003), 497–506
Citation in format AMSBIB
\Bibitem{Bab03}
\by A.~V.~Babash
\paper On the properties of a special composition of automata
\jour Diskr. Mat.
\yr 2003
\vol 15
\issue 3
\pages 66--75
\mathnet{http://mi.mathnet.ru/dm206}
\crossref{https://doi.org/10.4213/dm206}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2021205}
\zmath{https://zbmath.org/?q=an:1088.68629}
\transl
\jour Discrete Math. Appl.
\yr 2003
\vol 13
\issue 5
\pages 497--506
\crossref{https://doi.org/10.1515/156939203322694763}
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    		Дискретная математика
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