We prove that the function that maps a word of a rational language onto its successor for the radix order in this language is a finite union of co-sequential functions.
@article{ITA_2010__44_1_19_0, author = {Angrand, Pierre-Yves and Sakarovitch, Jacques}, title = {Radix enumeration of rational languages}, journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications}, volume = {44}, year = {2010}, pages = {19-36}, doi = {10.1051/ita/2010003}, mrnumber = {2604933}, zbl = {1186.68243}, language = {en}, url = {http://dml.mathdoc.fr/item/ITA_2010__44_1_19_0} }
Angrand, Pierre-Yves; Sakarovitch, Jacques. Radix enumeration of rational languages. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 44 (2010) pp. 19-36. doi : 10.1051/ita/2010003. http://gdmltest.u-ga.fr/item/ITA_2010__44_1_19_0/
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