Rational Transformations and a Kleene Theorem for Power Series over Rational Monoids

  • Ina Fichtner
  • Christian Mathissen
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7020)


In this paper we consider transformations on formal power series and extend well-known results in terms of homomorphisms to rational functions. Using these results we prove a Kleene-Schützenberger Theorem for formal power series over rational monoids. It extends a result of Sakarovitch.


Rational Series Formal Power Series Free Monoid Principal Ideal Domain Rational Subset 
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© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Ina Fichtner
    • 1
  • Christian Mathissen
    • 1
  1. 1.Institut für InformatikUniversität LeipzigGermany

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