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Radix enumeration of rational languages

Published online by Cambridge University Press:  11 February 2010

Pierre-Yves Angrand  and
Jacques Sakarovitch
Pierre-Yves Angrand
Affiliation:
LTCI (UMR 5141), Telecom ParisTech, 46 rue Barrault, 75634 Paris Cedex 13, France; [email protected]
Jacques Sakarovitch
Affiliation:
LTCI (UMR 5141), CNRS / Telecom ParisTech, 46 rue Barrault, 75634 Paris Cedex 13, France; [email protected]
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Abstract

We prove that the function that maps a word of a rational language onto its successor for the radix order in this language is a finite union of co-sequential functions.

Keywords

Finite automatarational functions of wordssequential transducers.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 44 , Issue 1: Special issue dedicated to the 12th "Journées Montoises d'Informatique Théorique" , January 2010 , pp. 19 - 36
Copyright
© EDP Sciences, 2010

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References

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