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Periodicity and roots of transfinite strings

Published online by Cambridge University Press:  15 July 2002

Olivier Carton  and
Christian Choffrut
Olivier Carton
Affiliation:
Institut Gaspard Monge, CNRS, Université de Marne-la-Vallée 5, boulevard Descartes, 77454 Marne-la-Vallée Cedex 2, France; (Olivier.Carton@univ-mlv.fr)
Christian Choffrut
Affiliation:
LIAFA, Université Paris 7, étage, bureau 6A7, 175 rue du Chevaleret, 75013 Paris, France; (Christian.Choffrut@liafa.jussieu.fr)
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Abstract

This contribution extends the notions of roots and periodicity to strings of transfinite lengths. It shows that given a transfinite string, either it possesses a unique root or the set of its roots are equivalent in a strong way.

Keywords

Ordinalscombinatorics on words.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 35 , Issue 6: A tribute to Aldo de Luca , November 2001 , pp. 525 - 533
Copyright
© EDP Sciences, 2001

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References

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