Growth rates of complexity of power-free languages

  • Authors:
  • Arseny M. Shur

  • Affiliations:
  • Ural State University, 620083 Ekaterinburg, Russia

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2010

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Abstract

We present a new fast algorithm for calculating the growth rate of complexity for regular languages. Using this algorithm we develop a space and time efficient method to approximate growth rates of complexity of arbitrary power-free languages over finite alphabets. Through extensive computer-assisted studies we sufficiently improve all known upper bounds for growth rates of such languages, obtain a lot of new bounds and discover some general regularities.