UID:
almahu_9949697930802882
Format:
1 online resource (361 p.)
ISBN:
1-282-25822-2
,
9786612258220
,
0-08-093422-6
Series Statement:
Studies in logic and the foundations of mathematics ; v. 130
Content:
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 dem
Note:
Description based upon print version of record.
,
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
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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
,
English
Additional Edition:
ISBN 0-444-89000-9
Language:
English
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