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LFCS
2009
Springer
13 years 12 months ago
Logic and Bounded-Width Rational Languages of Posets over Countable Scattered Linear Orderings
In this paper we consider languages of labelled N-free posets over countable and scattered linear orderings. We prove that a language of such posets is series-rational if and only ...
Nicolas Bedon
TCS
2010
13 years 1 days ago
Factorization forests for infinite words and applications to countable scattered linear orderings
The theorem of factorization forests of Imre Simon shows the existence of nested factorizations -- `a la Ramsey -- for finite words. This theorem has important applications in sem...
Thomas Colcombet
MLQ
2010
124views more  MLQ 2010»
13 years 3 months ago
Countably categorical coloured linear orders
Abstract. In this paper, we give a classification of (finite or countable) ℵ0categorical coloured linear orders, generalizing Rosenstein’s characterization of ℵ0-categorica...
Feresiano Mwesigye, John K. Truss
LATIN
2004
Springer
13 years 10 months ago
Complementation of Rational Sets on Scattered Linear Orderings of Finite Rank
In a preceding paper [6], automata have been introduced for words indexed by linear orderings. These automata are a generalization of automata for finite, infinite, bi-infinite...
Olivier Carton, Chloe Rispal
CSR
2008
Springer
13 years 7 months ago
Logic and Rational Languages of Words Indexed by Linear Orderings
We prove that every rational language of words indexed by linear orderings is definable in monadic second-order logic. We also show that the converse is true for the class of langu...
Nicolas Bedon, Alexis Bès, Olivier Carton, ...