Abstract : Dominance constraints are a logical language for describing trees that is widely used in computational linguistics. Their general satisfiability problem is known to be NP-complete. Here we identify emphnormal dominance constraints, a natural fragment whose satisfiability problem we show to be in polynomial time. We present a quadratic satisfiability algorithm and use it in another algorithm that enumerates solutions efficiently. Our result is useful for various applications of dominance constraints and related formalisms.
https://hal.inria.fr/inria-00536809
Contributeur : Joachim Niehren <>
Soumis le : mardi 16 novembre 2010 - 23:09:39 Dernière modification le : jeudi 20 septembre 2018 - 07:54:02 Document(s) archivé(s) le : jeudi 17 février 2011 - 03:14:33
Alexander Koller, Kurt Mehlhorn, Joachim Niehren. A Polynomial-Time Fragment of Dominance Constraints. 38th Annual Meeting of the Association of Computational Linguistics, 2000, Hong Kong, China. pp.368--375. ⟨inria-00536809⟩