Overview

This volume contains articles covering a broad spectrum of proof theory, with an emphasis on its mathematical aspects. The articles should not only be interesting to specialists of proof theory, but should also be accessible to a diverse audience, including logicians, mathematicians, computer scientists and philosophers. Many of the central topics of proof theory have been included in a self-contained expository of articles, covered in great detail and depth.The chapters are arranged so that the two introductory articles come first; these are then followed by articles from core classical areas of proof theory; the handbook concludes with articles that deal with topics closely related to computer science.

Full Product Details

Author:   S.R. Buss (Dept. of Mathematics and Computer Science, University of California, San Diego, La Jolla, CA, USA)
Publisher:   Elsevier Science & Technology
Imprint:   Elsevier Science Ltd
Volume:   v.137
Dimensions:   Width: 15.60cm , Height: 3.80cm , Length: 23.40cm
Weight:   1.410kg
ISBN:  

9780444898401

ISBN 10:   0444898409
Pages:   810
Publication Date:   09 July 1998
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

"Preface. List of Contributors. Chapter I. An Introduction to Proof Theory (S.R. Buss). Chapter II. First-Order Proof Theory of Arithmetic (S.R. Buss). Chapter III. Hierarchies of Provably Recursive Functions (M. Fairtlough, S.S. Wainer). Chapter IV. Subsystems of Set Theory and Second Order Number Theory (W. Pohlers). Chapter V. Gödel's Functional (""Dialectica"") Interpretation (J. Avigad, S. Feferman). Chapter VI. Realizability (A.S. Troelstra). Chapter VII. The Logic of Provability (G. Japaridze, D. de Jongh). Chapter VIII. The Lengths of Proofs (P. Pudl´k). Chapter IX. A Proof-Theoretic Framework for Logic Programming (G. Jäger, R.F. Stärk). Chapter X. Types in Logic, Mathematics and Programming (R.L. Constable). Name Index. Subject Index."

Reviews

"Toshiyasu Arai ""The Handbook is most welcome in the logic community. I recommend the Handbook to researchers and graduate students in logic, mathematics, computer science, philosophy, linguistics, artificial intelligence, automated reasoning and cognitive sciences."" --Bulletin of Symbolic Logic"

Toshiyasu AraiThe Handbook is most welcome in the logic community. I recommend the Handbook to researchers and graduate students in logic, mathematics, computer science, philosophy, linguistics, artificial intelligence, automated reasoning and cognitive sciences.Bulletin of Symbolic Logic

Toshiyasu Arai The Handbook is most welcome in the logic community. I recommend the Handbook to researchers and graduate students in logic, mathematics, computer science, philosophy, linguistics, artificial intelligence, automated reasoning and cognitive sciences. Bulletin of Symbolic Logic

Toshiyasu Arai The Handbook is most welcome in the logic community. I recommend the Handbook to researchers and graduate students in logic, mathematics, computer science, philosophy, linguistics, artificial intelligence, automated reasoning and cognitive sciences. Bulletin of Symbolic Logic

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