Talking about Trees and Truth-Conditions

Journal of Logic, Language and Information 10 (4):417-455 (1991)
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Abstract

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 object. More common is the situation, corresponding tounderspecification, in which there is more than one model. A situation inwhich there are no models corresponds to an ungrammatical input

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Citations of this work

Language, Lambdas, and Logic.Reinhard Muskens - 2003 - In R. Oehrle & J. Kruijff (eds.), resource sensitivity, binding, and anaphora. kluwer. pp. 23--54.
Order-independence and Underspecification.Reinhard Muskens - 2004 - In Hans Kamp & Barbara Hall Partee (eds.), Context-dependence in the analysis of linguistic meaning. Boston: Elsevier. pp. 11--239.
Categorial Grammar and Lexical-Functional Grammar.Reinhard Muskens - 2001 - In Miriam Butt & Tracey Holloway King (eds.), Proceedings of the LFG01 Conference, University of Hong Kong. CSLI Publications. pp. 259-279.
Construction by Description in Discourse Representation.Noor van Leusen & Reinhard Muskens - 2003 - In Jaroslav Peregrin (ed.), Meaning: the dynamic turn. Oxford, UK: Elsevier Science. pp. 33-65.

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English as a Formal Language.Richard Montague - 1970 - In B. Visentini (ed.), Linguaggi Nella Societ\'{a} e Nella Tecnica'. Edizioni di Communita. pp. 188-221.
The Grammar of Quantification.Robert May - 1977 - Dissertation, Massachusetts Institute of Technology

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