Handbook of Proof Theory, Volume 137

1st Edition

Editors: S.R. Buss
Hardcover ISBN: 9780444898401
eBook ISBN: 9780080533186
Imprint: Elsevier Science
Published Date: 1st July 1998
Page Count: 810
235.00 + applicable tax
21200.00 + applicable tax
145.00 + applicable tax
180.00 + applicable tax
Unavailable
Compatible Not compatible
VitalSource PC, Mac, iPhone & iPad Amazon Kindle eReader
ePub & PDF Apple & PC desktop. Mobile devices (Apple & Android) Amazon Kindle eReader
Mobi Amazon Kindle eReader Anything else

Institutional Access


Table of Contents

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

Description

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.


Details

No. of pages:
810
Language:
English
Copyright:
© Elsevier Science 1998
Published:
Imprint:
Elsevier Science
eBook ISBN:
9780080533186
Hardcover ISBN:
9780444898401

Reviews

@from:Toshiyasu Arai @qu: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. @source:Bulletin of Symbolic Logic


About the Editors

S.R. Buss Editor

Affiliations and Expertise

Dept. of Mathematics and Computer Science, University of California, San Diego, La Jolla, CA, USA