Lecture Notes in Logic

Gödel '96: Logical foundations of mathematics, computer science and physics---Kurt Gödel's legacy, Brno, Czech Republic, August 1996, proceedings

Editor: Petr Hájek

Lecture Notes in Logic, Volume 6
Berlin: Springer-Verlag, 1996.
322 pp.

Subjects:

03A05 (primary)
03Bxx (primary)
03Cxx (primary)
03Dxx (primary)
03Exx (primary)
03Fxx (primary)
85A40 (primary)
Permanent link to this monograph: http://projecteuclid.org/euclid.lnl/1235417007
Mathmatical Reviews number (MathSciNet): MR1441098
ISBN:3-540-61434-6

Copyright © 1996, Association for Symbolic Logic.

Miscellaneous Frontmatter

Table of Contents

Preface

v-vi

Part I: Invited Papers

Gödel's program for new axioms: why, where, how and what?

Solomon Feferman; 3-22

Infinite-valued Gödel logics with $0$-$1$-projections and relativizations

Matthias Baaz; 23-33

Contributions of K. Gödel to relativity and cosmology

G. F. R. Ellis; 34-49

Kurt Gödel and the constructive mathematics of A. A. Markov

Boris A. Kushner; 50-63

Hao Wang as philosopher

Charles Parsons; 64-80

A bottom-up approach to foundations of mathematics

Pavel Pudlák; 81-97

$K$-graph machines: generalizing Turing's machines and arguments

Wilfried Sieg, and John Byrnes; 98-119

Forcing on bounded arithmetic

Gaisi Takeuti, and Masahiro Yasumoto; 120-138

Uniform interpolation and layered bisimulation

Albert Visser; 139-164

Part II: Contributed Papers

Gödel's ontological proof revisited

C. Anthony Anderson, and Michael Gettings; 167-172

A uniform theorem proving tableau method for modal logic

Tadashi Araragi; 173-182

Decidability of the $\exists^*\forall^*$-class in the membership theory NWL

Dorella Bellè, and Franco Parlamento; 183-194

A logical approach to complexity bounds for subtype inequalities

Marcin Benke; 195-204

How to characterize provably total functions by the Buchholz operator method

Benjamin Blankertz, and Andreas Weiermann; 205-213

Completeness has to be restricted: Gödel's interpretation of the parameter $t$

Giora Hon; 214-223

A bounded arithmetic theory for constant depth threshold circuits

Jan Johannsen; 224-234

Information content and computational complexity of recursive sets

Lars Kristiansen; 235-246

Kurt Gödel and the consistency of ${\rm R}^{##}$

Robert K. Meyer; 247-256

Best possible answer is computable for fuzzy SLD-resolution

Leonard Paulík; 257-266

The finite stages of inductive definitions

Robert F. Stärk; 267-290

Gödel and the theory of everything

Michael Stöltzner; 291-306

Replacement $\nrightarrow$ collection

Andrzej M. Zarach; 307-322

Miscellaneous Backmatter

Lecture Notes in Logic

Lecture Notes in Logic