Codes générateurs minimaux de langages de mots bi-infinis

Issue		RAIRO-Theor. Inf. Appl. Volume 34, Number 6, November-December 2000


Page(s)		585 - 596
DOI		10.1051/ita:2000132

DOI: 10.1051/ita:2000132
Theoret. Informatics Appl. 34 (2000) 585-596

Codes générateurs minimaux de langages de mots bi-infinis

Jeanne Devolder
Laboratoire de Statistique et Probabilités, F.R.E. CNRS 2222, Université des Sciences et Technologies de Lille, bâtiment M2, 59655 Villeneuve-d'Ascq, France ;(Jeanne.Devolder@univ-lille1.fr)

Reçu le 31 juillet 2000. Accepté le 19 mars 2001.

Abstract: In this paper we give two families of codes which are minimal generators of biinfinite languages: the family of very thin codes (which contains the rational codes) and another family containing the circular codes. We propose the conjecture that all codes are minimal generators.

Résumé: Dans cet article, nous exhibons deux familles de codes qui sont générateurs minimaux du langage de mots bi-infinis qu'ils engendrent : la famille des codes très minces (et parmi eux, les codes rationnels) et une autre famille qui contient les codes circulaires. Nous avançons la conjecture que tous les codes sont des générateurs minimaux.

Keywords and phrases: Mots bi-infinis, bi $\omega$ -générateur, code, code très mince, code rationnel, code circulaire, code précirculaire, code synchrone.

AMS Subject Classification: 94A45

Communicated by: J.E. Pin

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