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Anaphora and Type Logical Grammar

  • Book
  • © 2005

Overview

  • Comprehensive type logical treatment of the interaction of anaphora, ellipsis and quantification
  • First categorial analysis of the interaction of anaphora and indefiniteness
  • Can be read as an introduction into type logical grammar in general

Part of the book series: Trends in Logic (TREN, volume 24)

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Table of contents (6 chapters)

Keywords

About this book

Type Logical Grammar is a framework that emerged from the synthesis of two traditions: Categorial Grammar from formal linguistics and substructural logics from logic. Grammatical composition is conceived as resource conscious logical deduction. Such a grammar is necessarily surface oriented and lexicalistic. The Curry-Howard correspondence supplies an elegant compositional mapping from syntax to semantics.

Anaphora does not seem to fit well into this framework. In type logical deductions, each resource is used exactly once. Anaphora, however, is a phenomenon where semantic resources are used more than once. Generally admitting the multiple use of lexical resources is not possible because it would lead to empirical inadequacy and computational intractability.

This book develops a hybrid architecture that allows to incorporate anaphora resolution into grammatical deduction while avoiding these consequences. To this end, the grammar logic is enriched with a connective that specifically deals with anaphora.

After giving a self-contained introduction into Type Logical Grammar in general, the book discusses the formal properties of this connective. In the sequel, Jäger applies this machinery to numerous linguistic phenomena pertaining to the interaction of pronominal anaphora, VP ellipsis and quantification. In the final chapter, the framework is extended to indefiniteness, specificity and sluicing.

Authors and Affiliations

  • University of Bielefeld, Germany

    Gerhard JÄger

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