Handbook of Proof Theory -

Handbook of Proof Theory

S.R. Buss (Herausgeber)

Buch | Hardcover
810 Seiten
1998
Elsevier Science Ltd (Verlag)
978-0-444-89840-1 (ISBN)
168,35 inkl. MwSt
Contains articles covering a broad spectrum of proof theory, with an emphasis on its mathematical aspects. This book includes the central topics of proof theory. It concludes with articles that deal with topics closely related to computer science.
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.

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.

Erscheint lt. Verlag 9.7.1998
Reihe/Serie Studies in Logic and the Foundations of Mathematics
Verlagsort Oxford
Sprache englisch
Maße 156 x 234 mm
Gewicht 1410 g
Themenwelt Mathematik / Informatik Mathematik Logik / Mengenlehre
ISBN-10 0-444-89840-9 / 0444898409
ISBN-13 978-0-444-89840-1 / 9780444898401
Zustand Neuware
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