Handbook of proof theory

edited by Samuel R. Buss

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.

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[目次]

  • An introduction to proof theory, S.R. Buss
  • first-order proof theory of arithmetic, S.R. Buss
  • hierarchies of provably recursive functions, M. Fairtlough and S.S. Wainer
  • subsystems of set theory and second order number theory, W. Pohlers
  • Godel's functional ("dialectica") interpretation, J. Avigad and S. Feferman
  • realizability, A.S.Troelstra
  • the logic of provability, G. Japaridze and D. de Jongh
  • the lengths of proofs, P. Pudlak
  • a proof-theoretic framework for logic programming, G. Jager and R.F. Stark.

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この本の情報

書名 Handbook of proof theory
著作者等 Buss, Samuel R.
シリーズ名 Studies in logic and the foundations of mathematics
出版元 Elsevier
刊行年月 1998
ページ数 811 p.
大きさ 23 cm
ISBN 0444898409
NCID BA37119809
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言語 英語
出版国 オランダ
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