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Journal of Logic, Language and Information

, Volume 19, Issue 2, pp 129–136 | Cite as

New Directions in Type-Theoretic Grammars

  • Reinhard Muskens
Open Access
Article

Abstract

This paper argues for the idea that in describing language we should follow Haskell Curry in distinguishing between the structure of an expression and its appearance or manifestation. It is explained how making this distinction obviates the need for directed types in type-theoretic grammars and a simple grammatical formalism is sketched in which representations at all levels are lambda terms. The lambda term representing the abstract structure of an expression is homomorphically translated to a lambda term representing its manifestation, but also to a lambda term representing its semantics.

Keywords

Lambda grammar Abstract categorial grammar Tectogrammatics Phenogrammatics 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2009

Authors and Affiliations

  1. 1.Department of PhilosophyTilburg UniversityTilburgThe Netherlands

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