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Partial commutations and faithful rational transductions

M. Clerbout and M. Latteux
Theoretical Computer Science 34 (3) 241 (1984)
DOI: 10.1016/0304-3975(84)90053-7
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Synchronized rational relations of finite and infinite words

Christiane Frougny and Jacques Sakarovitch
Theoretical Computer Science 108 (1) 45 (1993)
DOI: 10.1016/0304-3975(93)90230-Q
See this article