Categorial Grammar and Lexical-Functional Grammar

In Miriam Butt & Tracey Holloway King (eds.), Proceedings of the LFG01 Conference, University of Hong Kong. CSLI Publications. pp. 259-279 (2001)
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Abstract

This paper introduces λ-grammar, a form of categorial grammar that has much in common with LFG. Like other forms of categorial grammar, λ-grammars are multi-dimensional and their components are combined in a strictly parallel fashion. Grammatical representations are combined with the help of linear combinators, closed pure λ-terms in which each abstractor binds exactly one variable. Mathematically this is equivalent to employing linear logic, in use in LFG for semantic composition, but the method seems more practicable.

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Reinhard Muskens
University of Amsterdam

References found in this work

The proper treatment of quantification in ordinary English.Richard Montague - 1973 - In Patrick Suppes, Julius Moravcsik & Jaakko Hintikka (eds.), Approaches to Natural Language. Dordrecht. pp. 221--242.
The Proper Treatment of Quantification in Ordinary English.Richard Montague - 1974 - In Richmond H. Thomason (ed.), Formal Philosophy. Yale University Press.
The Mathematics of Sentence Structure.Joachim Lambek - 1958 - Journal of Symbolic Logic 65 (3):154-170.
Meaning and Partiality.Reinhard Muskens - 1989 - Dissertation, University of Amsterdam
Meaning and Partiality.Reinhard Muskens - 1995 - Stanford, CA: CSLI Publications.

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