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Closure under union and composition of iterated rational transductions

Published online by Cambridge University Press:  15 April 2002

D. Simplot  and
A. Terlutte
D. Simplot
Affiliation:
URA 369 du CNRS, LIFL, Université de Lille I, bâtiment M3, Cité Scientifique, 59655 Villeneuve-d'Ascq Cedex, France; (simplot@lifl.fr)
A. Terlutte
Affiliation:
URA 369 du CNRS, LIFL, Université de Lille I, bâtiment M3, Cité Scientifique, 59655 Villeneuve-d'Ascq Cedex, France; (terlutte@lifl.fr)
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Abstract

We proceed our work on iterated transductions by studying the closure underunion and composition of some classes of iterated functions. Weanalyze this closure for the classes of length-preservingrational functions, length-preserving subsequential functions andlength-preserving sequential functions with terminal states. All the classes weobtain are equal. We also study the connection with deterministiccontext-sensitive languages.

Keywords

Rational transductionsrational functionsiteration of transductionscontext-sensitive languages.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 34 , Issue 3 , May 2000 , pp. 183 - 212
Copyright
© EDP Sciences, 2000

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