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Underspecified semantics

In Klaus von Heusinger & Urs Egli (eds.), Reference and Anaphoric Relations. Kluwer Academic Publishers. pp. 311--338 (2000)

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  1. Talking About Trees and Truth-Conditions.Reinhard Muskens - 2001 - Journal of Logic, Language and Information 10 (4):417-455.
    We present Logical Description Grammar (LDG), a model ofgrammar and the syntax-semantics interface based on descriptions inelementary logic. A description may simultaneously describe the syntacticstructure and the semantics of a natural language expression, i.e., thedescribing logic talks about the trees and about the truth-conditionsof the language described. Logical Description Grammars offer a naturalway of dealing with underspecification in natural language syntax andsemantics. If a logical description (up to isomorphism) has exactly onetree plus truth-conditions as a model, it completely specifies thatgrammatical (...)
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  • Construction by Description in Discourse Representation.Noor van Leusen & Reinhard Muskens - 2003 - In Jaroslav Peregrin (ed.), Meaning: The Dynamic Turn. Elsevier. pp. 33-65.
    This paper uses classical logic for a simultaneous description of the syntax and semantics of a fragment of English and it is argued that such an approach to natural language allows procedural aspects of linguistic theory to get a purely declarative formulation. In particular, it will be shown how certain construction rules in Discourse Representation Theory, such as the rule that indefinites create new discourse referents and definites pick up an existing referent, can be formulated declaratively if logic is used (...)
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