*-Continuous Kleene \(\omega \)-Algebras

  • Zoltán Ésik
  • Uli FahrenbergEmail author
  • Axel Legay
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9168)


We define and study basic properties of \(^*\)-continuous Kleene \(\omega \)-algebras that involve a \(^*\)-continuous Kleene algebra with a \(^*\)-continuous action on a semimodule and an infinite product operation that is also \(^*\)-continuous. We show that \(^*\)-continuous Kleene \(\omega \)-algebras give rise to iteration semiring-semimodule pairs, and that for Büchi automata over \(^*\)-continuous Kleene \(\omega \)-algebras, one can compute the associated infinitary power series.


Complete Lattice Regular Language Product Operation Continuous Homomorphism Path Label 
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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.University of SzegedSzegedHungary
  2. 2.Irisa / Inria RennesRennesFrance

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