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» Countably Complementable Linear Orderings
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LFCS
2009
Springer
15 years 11 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
154
Voted
TCS
2010
14 years 11 months 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
130
Voted
MLQ
2010
124views more  MLQ 2010»
15 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
15 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
141
Voted
CSR
2008
Springer
15 years 6 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, ...