Description theory, LTAGs and Underspecified Semantics

In Anne Abeillé, Tilman Becker, Giorgio Satta & K. Vijay-Shanker (eds.), Fourth International Workshop on Tree Adjoining Grammars and Related Frameworks. Philadelphia, PA: Institute for Research in Cognitive Science. pp. 112-115 (1998)
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Abstract
An attractive way to model the relation between an underspecified syntactic representation and its completions is to let the underspecified representation correspond to a logical description and the completions to the models of that description. This approach, which underlies the Description Theory of Marcus et al. 1983 has been integrated in Vijay-Shanker 1992 with a pure unification approach to Lexicalized Tree-Adjoining Grammars (Joshi et al. 1975, Schabes 1990). We generalize Description Theory by integrating semantic information, that is, we propose to tackle both syntactic and semantic underspecification using descriptions.
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From Discourse to Logic.Kamp, Hans & Reyle, Uwe
A First-Order Axiomatization of the Theory of Finite Trees.Backofen, Rolf; Rogers, James & Vijay-Shanker, K.

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