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Language in action : categories, lambdas, and dynamic logic
Title:
Language in action : categories, lambdas, and dynamic logic
Author:
Benthem, Johan van, 1949-
ISBN:
9780080934228
9781282258228
9786612258220
Personal Author:
Publication Information:
Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Distributors for the U.S. and Canada, Elsevier Science Pub. Co., 1991.
Physical Description:
1 online resource (x, 349 pages)
Series:
Studies in logic and the foundations of mathematics ; v. 130
Studies in logic and the foundations of mathematics ; v. 130.
Contents:
Front Cover; Language in Action: Categories, Lambdas and Dynamic Logic; Copyright Page; Table of Contents; Preface; Chapter I Introduction; 1 Two Traditions; 2 Lambda Calculus and Theory of Types; 3 Categorial Grammar; Chapter II A Logical Perspective; 4 The Hierarchy of Implicational Logics; 5 Proofs, Terms and Meanings; Chapter III Proof Theory; 6 Exploring Categorial Deduction; 7 Cut Elimination and Decidability; 8 Recognizing Power; Chapter IV Model Theory; 9 Enumerating Readings; 10 Computing Denotational Constraints; 11 Boolean Structure; Chapter V Variations and Extensions
12 Intensionality13 Variable Polymorphism and Higher Type Theories; Chapter VI Toward a Logic of Information; 14 Language Families; 15 Modal Logic of Information Patterns; 16 Relational Algebra of Control; 17 Dynamic Logic; Chapter VII A Tour of Basic Logic; Bibliography; Index
Abstract:
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.
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Electronic Access:
ScienceDirect https://www.sciencedirect.com/science/book/9780444890009 ScienceDirect https://www.sciencedirect.com/science/bookseries/0049237X/130Available:*
Shelf Number | Item Barcode | Shelf Location | Status |
|---|---|---|---|
| P39 .B46 1991 | 1193207-1001 | Elsevier E-Book Collections | Searching... |
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