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Diskretnaya Matematika, 1990, Volume 2, Issue 3, Pages 145–152 (Mi dm878)  
Regular languages with polynomial growth in the number of words

A. S. Strogalov
Full-text PDF (694 kB)
Abstract: An important feature of regular sets is the functions that describe the distribution of the number of words of given length in them, which are called the growth functions of these sets. We establish that any nonnegative integer-valued polynomial can be the growth function of a regular set.
Received: 01.02.1990
Bibliographic databases:
UDC: 519.95
Language: Russian
Citation: A. S. Strogalov, “Regular languages with polynomial growth in the number of words”, Diskr. Mat., 2:3 (1990), 145–152; Discrete Math. Appl., 2:3 (1992), 285–292
Citation in format AMSBIB
\Bibitem{Str90}
\by A.~S.~Strogalov
\paper Regular languages with polynomial growth in the number of words
\jour Diskr. Mat.
\yr 1990
\vol 2
\issue 3
\pages 145--152
\mathnet{http://mi.mathnet.ru/dm878}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1084077}
\zmath{https://zbmath.org/?q=an:0787.68070|0724.68065}
\transl
\jour Discrete Math. Appl.
\yr 1992
\vol 2
\issue 3
\pages 285--292
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    		Дискретная математика
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