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Québecà Montréal E-mail address: lavallee.sylvain.2@courrier.uqam.ca Christophe Reutenauer: Département de mathématiques, Université du Québec Québec`Québecà Montréal E-mail address: reutenauer.christophe@uqam.ca Vladimir Retakh, E-mail address: vretakh@math.rutgers.edu Dominique Perrin: Institut Gaspard-Monge ,