The Growth Ratio of Synchronous Rational Relations Is Unique

  • Olivier Carton
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4036)


We introduce α-synchronous relations for a rational number α. We show that if a rational relation is both α- and α′-synchronous for two different numbers α and α′, then it is recognizable. We give a synchronization algorithm for α-synchronous transducers. We also prove the closure under boolean operations and composition of α-synchronous relations.


Rational Number Rational Relation Closure Property Output Label Growth Ratio 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Olivier Carton
    • 1
  1. 1.LIAFAUniversité Paris 7 & CNRSParis

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