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CSR
2008
Springer
13 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, ...
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
LFCS
2009
Springer
13 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
MFCS
2001
Springer
13 years 9 months ago
Automata on Linear Orderings
We consider words indexed by linear orderings. These extend finite, (bi-)infinite words and words on ordinals. We introduce finite automata and rational expressions for these w...
Véronique Bruyère, Olivier Carton
DATESO
2004
100views Database» more  DATESO 2004»
13 years 6 months ago
Storage and Retrieval of First Order Logic Terms in a Database
In this paper we present a storage method for sets of first order logic terms in a relational database using function symbols based indexing method of Discrimination trees. This is...
Peter Gurský