内容

目次

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.