Language in Action: Categories, Lambdas and Dynamic Logic / Edition 2

Language in Action: Categories, Lambdas and Dynamic Logic / Edition 2

by J. van Benthem, J. Van Benthem, Benthem Van Benthem
     
 

ISBN-10: 0444890009

ISBN-13: 9780444890009

Pub. Date: 02/12/1991

Publisher: Elsevier Science

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

Overview

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.

Product Details

ISBN-13:
9780444890009
Publisher:
Elsevier Science
Publication date:
02/12/1991
Series:
Studies in Logic and the Foundations of Mathematics Series, #13
Pages:
360
Product dimensions:
0.88(w) x 6.14(h) x 9.21(d)

Table of Contents

Introduction. Two Traditions. Lambda Calculus and Theory of Types. Categorial Grammar. A Logical Perspective. The Hierarchy of Implicational Logics. Proofs, Terms, and Meanings. Proof Theory. Exploring Categorial Deduction. Cut Elimination and Decidability. Recognizing Power. Model Theory. Enumerating Readings. Computing Denotational Constraints. Boolean Structure. Variations and Extensions. Intensionality. Variable Polymorphism and Higher Type Theories. Towards a Logic of Information. Language Families. Modal Logic of Information Patterns. Relational Algebra of Control. Dynamic Logic. A Tour of Basic Logic. Bibliography. Index.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >