Godel 96: Logical Foundations of Mathematics, Computer Science, and Physics: Lecture Notes in Logic 6

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Overview

This volume contains the proceedings of the conference Logical Foundations of Mathematics, Computer Science, and Physics-Kurt Gödel's Legacy, held in Brno, Czech Republic on the 90th anniversary of his birth. The wide and continuing importance of Gödel s work in the logical foundations of mathematics, computer science, and physics is confirmed by the broad range of speakers who participated in making this gathering a scientific event.

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Editorial Reviews

Booknews
The proceedings of the 1996 conference in Brno, the Czech Republic (birthplace of Kurt G(:o)del, in whose honor the conference was held) have been reprinted in a paper edition, making it more accessible to the scholars, researchers and graduate students who will be its audience. Topics include: G(:o)del's program for new axioms, infinite-valued G(:o)del logics with 0-1 projections and relativizations, contributions of G(:o)del to relativity and cosmology, G(:o)del and the constructive mathematics of A.A. Markov, Hao Wang as philosopher, generalizing Turing's machines and arguments, forcing on bounded arithmetic, and uniform and layered bisimulation. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9781568811536
  • Publisher: Taylor & Francis
  • Publication date: 3/26/2001
  • Series: Lecture Notes in Logic Series
  • Edition description: Reprint
  • Pages: 336
  • Product dimensions: 65.00 (w) x 90.00 (h) x 7.50 (d)

Table of Contents

Preface V
Part I. Invited Papers
Godel's program for new axioms: Why, where, how and what? 3
Infinite-valued Godel Logics with 0-1-Projections and Relativizations 23
Contributions of K. Godel to Relativity and Cosmology 34
Kurt Godel and the constructive Mathematics of A.A. Markov 50
Hao Wang as Philosopher 64
A bottom-up approach to foundations of mathematics 81
K-graph Machines: generalizing Turing's machines and arguments 98
Forcing on Bounded Arithmetic 120
Uniform Interpolation and Layered Bisimulation 139
Part II. Contributed Papers
Godel's Ontological Proof Revisited 167
A Uniform Theorem Proving Tableau Method for Modal Logic 173
Decidability of the [exist]*[of all]*-Class in the Membership Theory NWL 183
A Logical Approach to Complexity Bounds for Subtype Inequalities 195
How to characterize provably total functions 205
Completeness has to be restricted: Godel's interpretation of the parameter t 214
A Bounded Arithmetic Theory for Constant Depth Threshold Circuits 224
Information content and computational complexity of recursive sets 235
Kurt Godel and the Consistency of R## 247
Best possible answer is computable for fuzzy SLD-resolution 257
The finite stages of inductive definitions 267
Godel and the Theory of Everything 291
Replacement[not right arrow] Collection 307
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