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Tree Automata and Automata on Linear Orderings

Published online by Cambridge University Press:  03 April 2009

Véronique Bruyère ,
Olivier Carton  and
Géraud Sénizergues
Véronique Bruyère
Affiliation:
Université de Mons-Hainaut, France; Veronique.Bruyere@umh.ac.be
Olivier Carton
Affiliation:
LIAFA, Université Paris 7, France; Olivier.Carton@liafa.jussieu.fr
Géraud Sénizergues
Affiliation:
LaBRI, Université de Bordeaux I, France; ges@labri.u-bordeaux.fr
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Abstract

We show that the inclusion problem is decidable for rational languages of words indexed by scattered countable linear orderings. The method leans on a reduction to the decidability of the monadic second order theory of the infinite binary tree [9].

Keywords

Finite automatawords over linear orderings-treesmonadic second order logics.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 43 , Issue 2 , April 2009 , pp. 321 - 338
Copyright
© EDP Sciences, 2008

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References

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