Theory of Computing Systems

, Volume 44, Issue 3, pp 455–499 | Cite as

A Kleene Theorem for Weighted Tree Automata over Distributive Multioperator Monoids

Article

Abstract

Kleene’s theorem on the equivalence of recognizability and rationality for formal tree series over distributive multioperator monoids is proved. As a consequence of this, Kleene’s theorem for weighted tree automata over arbitrary, i.e., not necessarily commutative, semirings is derived.

Keywords

Recognizable tree series Rational tree series Semirings Multioperator monoids 

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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  • Zoltán Fülöp
    • 1
  • Andreas Maletti
    • 2
  • Heiko Vogler
    • 2
  1. 1.Department of Computer ScienceUniversity of SzegedSzegedHungary
  2. 2.Faculty of Computer ScienceDresden University of TechnologyDresdenGermany

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