Handbook of proof theory
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 scient...
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| Format: | eBook |
| Language: | English |
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New York
Elsevier
1998, 1998
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| Series: | Studies in logic and the foundations of mathematics
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| Collection: | Elsevier eBook collection Mathematics - Collection details see MPG.ReNa |
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. Gödels 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. Pudlþk). 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
- Includes bibliographical references and indexes