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CSR
2008
Springer
15 years 1 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
15 years 5 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
15 years 6 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
15 years 4 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»
15 years 1 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