Abstract
Here is introduced an extension for infinite words of the classical notion of rational transduction. We prove that this extension has the important property of mapping the adherence of a language of finite words into the adherence of an other language of finite words. The set of such extensions is closed by composition and is exactly the family of the compositions of an inverse faithful sequential mapping and of a faithful sequential mapping.
Then we study the stability and principality with respect to these extensions, of a family of languages of infinite words, Adh (ℒ), defined as the set of the adherences of languages of finite words wich belong to a given family ℒ.
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References
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© 1982 Springer-Verlag Berlin Heidelberg
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Gire, F. (1982). Une extension aux mots infinis de la notion de transduction rationnelle. In: Cremers, A.B., Kriegel, HP. (eds) Theoretical Computer Science. Lecture Notes in Computer Science, vol 145. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0036475
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DOI: https://doi.org/10.1007/BFb0036475
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