From Hadamard Expressions to Weighted Rotating Automata and Back

  • Louis-Marie Dando
  • Sylvain LombardyEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10329)


This paper deals with the conversion of expressions denoting Hadamard series into weighted rotating automata. We prove that any algorithm converting rational series into one-way weighted automata can be extended to provide an algorithm which achieves our goal. We apply this to define the derivation and the follow automata of a Hadamard expression. Our method is also used to extend algorithms which perform the inverse conversion, up to some adjustment in order to fulfill some constraints.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.LaBRI UMR 5800, Université de Bordeaux INP Bordeaux, CNRSBordeauxFrance

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