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Bifix codes and interval exchanges

Valérie Berthé 1 Clelia de Felice 2 Francesco Dolce 3 Julien Leroy 4 Dominique Perrin 5, 3 Christophe Reutenauer 6 Giuseppina Rindone 3 
1 IRIF (UMR_8243) - Institut de Recherche en Informatique Fondamentale
2 DIA - Dipartimento Informatica ed Applicazioni "Renato M. Capocelli"
3 LIGM - Laboratoire d'Informatique Gaspard-Monge
4 FNRS - Fonds National de la Recherche Scientifique
5 ESIEE Paris
6 LaCIM - Laboratoire de combinatoire et d'informatique mathématique [Montréal]
Abstract : We investigate the relation between bifix codes and interval exchange 5 transformations. We prove that the class of natural codings of regular 6 interval echange transformations is closed under maximal bifix decoding.
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Valérie Berthé, Clelia de Felice, Francesco Dolce, Julien Leroy, Dominique Perrin, et al.. Bifix codes and interval exchanges. Journal of Pure and Applied Algebra, Elsevier, 2015, ⟨10.1016/j.jpaa.2014.09.028⟩. ⟨hal-01367685⟩

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