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Language in Action: Categories, Lambdas and Dynamic Logic

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This monograph began life as a series of papers documenting five years of research into the logical foundations of Categorial Grammar, a grammatical paradigm which has close analogies with Lambda Calculus and Type Theory. The technical theory presented here stems from the interface between Logic and Linguistics and, in particular, the theory of generalized quantification. A categorical framework with lambda calculus-oriented semantics is a convenient vehicle for generalizing semantic insights (obtained in various corners of natural language) into one coherent theory.


The book aims to demonstrate to fellow logicians that the resulting applied lambda calculus has intrinsic logical interest. In the final analysis, the idea is not just to `break the syntactic code' of natural languages but to understand the cognitive functioning of the human mind

Author(s): Johan van Benthem (Eds.)
Series: Studies in Logic and the Foundations of Mathematics 130
Publisher: North Holland
Year: 1991

Language: English
Pages: 349

Content:
Edited by
Page iii

Copyright page
Page iv

Dedication
Page v

Preface
Pages ix-x

I Introduction
Pages 1-33

II A Logical Perspective
Pages 35-69

III Proof Theory
Pages 71-109

IV Model Theory
Pages 111-154

V Variations and Extensions
Pages 155-183

VI Toward a Logic of Information
Pages 185-270

VII A Tour of Basic Logic
Pages 271-325

Bibliography
Pages 327-344

Index
Pages 345-349