Chapter

STACS 2004

Volume 2996 of the series Lecture Notes in Computer Science pp 282-293

The Syntactic Graph of a Sofic Shift

  • Marie-Pierre BéalAffiliated withInstitut Gaspard-Monge, Université de Marne-la-Vallée
  • , Francesca FiorenziAffiliated withInstitut Gaspard-Monge, Université de Marne-la-Vallée
  • , Dominique PerrinAffiliated withInstitut Gaspard-Monge, Université de Marne-la-Vallée

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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