Dominance Constraints With Boolean Connectives: A Model-Eliminative Treatment

Denys Duchier 1
1 CALLIGRAMME - Linear logic, proof networks and categorial grammars
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : Dominance constraints are a language of tree descriptions. Tree descriptions are widely used in computational linguistics for talking and reasoning about trees. While previous research has focused on the conjunctive fragment, we now extend the account to all Boolean connectives and propose a new formalism that combines dominance constraints with a feature tree logic. Although the satisfiability problem in the conjunctive fragment is known to be NP-complete, we have previously demonstrated that it can be addressed very effectively by constraint propagation: we developed an encoding that transforms a dominance constraint into a constraint satisfaction problem on finite sets solvable by constraint programming. We present a generalization of this encoding for our more expressive formalism, and prove soundness and completeness. Our main contribution is a treatment of disjunction suitable for constraint propagation.
Type de document :
Article dans une revue
Theoretical Computer Science, Elsevier, 2003, 293 (2), pp.321-343
Liste complète des métadonnées

https://hal.inria.fr/inria-00099677
Contributeur : Publications Loria <>
Soumis le : mardi 26 septembre 2006 - 09:40:03
Dernière modification le : jeudi 11 janvier 2018 - 06:19:48

Identifiants

  • HAL Id : inria-00099677, version 1

Collections

Citation

Denys Duchier. Dominance Constraints With Boolean Connectives: A Model-Eliminative Treatment. Theoretical Computer Science, Elsevier, 2003, 293 (2), pp.321-343. 〈inria-00099677〉

Partager

Métriques

Consultations de la notice

75