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A Polynomial-Time Fragment of Dominance Constraints

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.
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https://hal.inria.fr/inria-00536809
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Submitted on : Tuesday, November 16, 2010 - 11:09:39 PM
Last modification on : Thursday, September 20, 2018 - 7:54:02 AM
Long-term archiving on: : Thursday, February 17, 2011 - 3:14:33 AM

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  • HAL Id : inria-00536809, version 1

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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⟩

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