A modal perspective on the computational complexity of attribute value grammar

Journal of Logic, Language and Information 2 (2):129-169 (1993)
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Abstract

Many of the formalisms used in Attribute Value grammar are notational variants of languages of propositional modal logic, and testing whether two Attribute Value Structures unify amounts to testing for modal satisfiability. In this paper we put this observation to work. We study the complexity of the satisfiability problem for nine modal languages which mirror different aspects of AVS description formalisms, including the ability to express re-entrancy, the ability to express generalisations, and the ability to express recursive constraints. Two main techniques are used: either Kripke models with desirable properties are constructed, or modalities are used to simulate fragments of Propositional Dynamic Logic. Further possibilities for the application of modal logic in computational linguistics are noted.

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Patrick Blackburn
Roskilde University

Citations of this work

The Price of Universality.Edith Hemaspaandra - 1996 - Notre Dame Journal of Formal Logic 37 (2):174-203.
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References found in this work

Past, Present and Future.Arthur Prior - 1967 - Oxford, England: Clarendon Press.
Past, present, and future.Arthur Prior - 1967 - Revue Philosophique de la France Et de l'Etranger 157:476-476.
Dynamic Logic.Lenore D. Zuck & David Harel - 1989 - Journal of Symbolic Logic 54 (4):1480.

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