On the Decidability of Bounded Valuedness for Transducers

  • Authors:
  • Jacques Sakarovitch;Rodrigo Souza

  • Affiliations:
  • LTCI, ENST/CNRS, Paris, (France);ENST, Paris Cedex 13, (France) 75634

  • Venue:
  • MFCS '08 Proceedings of the 33rd international symposium on Mathematical Foundations of Computer Science
  • Year:
  • 2008

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Abstract

We give a new and conceptually different proof for the decidability of k-valuedness of transducers (a result due to Gurari and Ibarra), without resorting to any other kind of machines than transducers. In contrast with the previous proof, our algorithm takes into account the structure of the analysed transducers and yields better complexity bounds. With the same techniques, we also present a new proof, hopefully more easily understandable, for the decidability of bounded valuedness (a result due to Weber).