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# On Numerical Characteristics of Formal Languages

 Authors: Ismagilov R.S., Mastikhina A.A., Filippova L.E. Published: 24.05.2017 Published in issue: #4(73)/2017 DOI: 10.18698/1812-3368-2017-4-4-15 Category: Mathematics | Chapter: Mathematical Logics, Algebra, and Theory of Numbers Keywords: formal language, regular language, graph, generating function, order, composition of words

The purpose of this study was to count the number of layers of a regular language of a given composition. First, we specified the alphabet from the characters and defined the composition of the word as a vector. Then, we introduced the functions of the number of words of a given composition. Finally, we defined simple estimates of these functions for languages derived from languages using ordinary operations (union, concatenation, iteration). We also studied series for languages generated automatically.

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