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Monadic second-order logic and linear orderings of finite structures

Bruno CourcelleContact Information

(1)  LaBRI, Université Bordeaux-I, 351, Cours de la Libération, 33405 Talence Cedex, France
Abstract
We consider graphs in which it is possible to specify linear orderings of the sets of vertices, in uniform ways, by MS (i.e., Monadic Second-order) formulas. We also consider classes of graphs Copf such that for every L 
$$\subseteq$$
Copf, L is recognizable iff it is MS-definable. Our results concern in particular dependency graphs of partially commutative words.

Contact Information Bruno Courcelle (Laboratoire associé au CNRS)
Email: courcell@labri.u-bordeaux.fr
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