The Syntactic Graph of a Sofic Shift

  • Marie-Pierre Béal
  • Francesca Fiorenzi
  • Dominique Perrin
Conference paper

DOI: 10.1007/978-3-540-24749-4_25

Part of the Lecture Notes in Computer Science book series (LNCS, volume 2996)
Cite this paper as:
Béal MP., Fiorenzi F., Perrin D. (2004) The Syntactic Graph of a Sofic Shift. In: Diekert V., Habib M. (eds) STACS 2004. STACS 2004. Lecture Notes in Computer Science, vol 2996. Springer, Berlin, Heidelberg

Abstract

We define a new invariant for the conjugacy of irreducible sofic shifts. This invariant, that we call the syntactic graph of a sofic shift, is the directed acyclic graph of characteristic groups of the non null regular \(\mathcal{D}\)-classes of the syntactic semigroup of the shift.

Keywords

Automata and formal languages symbolic dynamics 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Marie-Pierre Béal
    • 1
  • Francesca Fiorenzi
    • 1
  • Dominique Perrin
    • 1
  1. 1.Institut Gaspard-MongeUniversité de Marne-la-ValléeMarne-la-Vallée Cedex 2France

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