Handbook of Proof Theory ( Volume 137 )

Publication series :Volume 137

Author: Buss   S. R.  

Publisher: Elsevier Science‎

Publication year: 1998

E-ISBN: 9780080533186

P-ISBN(Paperback): 9780444898401

P-ISBN(Hardback):  9780444898401

Subject: O141.2 proof theory

Language: ENG

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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.

Chapter

Front Cover

pp.:  1 – 4

Handbook of Proof Theory

pp.:  4 – 5

Copyright Page

pp.:  5 – 10

Preface

pp.:  6 – 8

List of Contributors

pp.:  8 – 12

Table of Contents

pp.:  10 – 6

Chapter II. First-Order Proof Theory of Arithmetic

pp.:  90 – 160

Chapter III. Hierarchies of Provably Recursive Functions

pp.:  160 – 220

Chapter IV. Subsystems of Set Theory and Second Order Number Theory

pp.:  220 – 348

Chapter V. Gödel's Functional ("Dialectica") Interpretation

pp.:  348 – 418

Chapter VI. Realizability

pp.:  418 – 486

Chapter VII. The Logic of Provability

pp.:  486 – 558

Chapter VIII. The Lengths of Proofs

pp.:  558 – 650

Chapter IX. A Proof-Theoretic Framework for Logic Programming

pp.:  650 – 694

Chapter X. Types in Logic, Mathematics and Programming

pp.:  694 – 798

Name Index

pp.:  798 – 808

Subject Index

pp.:  808 – 824

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