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Cited article:

Iterated sequential transducers as language generating devices

Henning Bordihn, Henning Fernau, Markus Holzer, Vincenzo Manca and Carlos Martín-Vide
Theoretical Computer Science 369 (1-3) 67 (2006)
https://doi.org/10.1016/j.tcs.2006.07.059

Closure under union and composition of iterated rational transductions

D. Simplot and A. Terlutte
RAIRO - Theoretical Informatics and Applications 34 (3) 183 (2000)
https://doi.org/10.1051/ita:2000114