Handbook of Proof Theory

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S.R. Buss
Elsevier, Jul 9, 1998 - Mathematics - 810 pages
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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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Chapter II FirstOrder Proof Theory of Arithmetic
Chapter III Hierarchies of Provably Recursive Functions
Chapter IV Subsystems of Set Theory and Second Order Number Theory
Chapter V Gödels Functional Dialectica Interpretation
Chapter VI Realizability
Chapter VII The Logic of Provability

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Page 74 - S. Abramsky and R. Jagadeesan. Games and full completeness for multiplicative linear logic. Journal of Symbolic Logic, 59(2):543 - 574, June 1994.
Page 30 - KB exhibits consistent knowledge if and only if there is no sentence a such that both a and ->a are known.

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