Logic Colloquium '98: Lecture Notes in Logic 13

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Overview

A compilation of papers presented at the 1998 European Summer Meeting of the Association for Symbolic Logic, Logic Colloquium '98 includes surveys and research from the world's preeminent logicians. Topics cover current research from all areas of mathematical logic, including Proof Theory, Set Theory, Model Theory, Computability Theory, and Philosophy. This book will be of interest to students and researchers of mathematical logic.

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Editorial Reviews

Booknews
This volume contains 31 papers and two speeches (a small subset of the actual proceedings) from the August 1998 Colloquium, in which 241 mathematicians and computer scientists from 30 different countries participated. Twelve articles focus on proof theory, while others cover set theory, computability theory, and model theory. A selection of paper topics: qualitative and probabilistic models of full belief, continuous images of coanalytic sets, and the complexity of linear logic with weakening. No subject index. Paper edition (unseen), $40.00. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

Table of Contents

Preface
Opening speech of Petr Vopenka
Bolzano Medal awarded to Gaisi Takeuti
Collapsing Polynomial-Time Degrees 1
Qualitative and Probabilistic Models of Full Belief 25
Relative Splittings of 0[subscript e][superscript [prime]] in the [Delta][subscript 2][superscript 0] - Enumeration Degrees 44
A Realizability Interpretation for Classical Arithmetic 57
An Axiomatization of Quantified Propositional Godel Logic Using the Takeuti Rule 91
Another Pathological Well-Ordering 105
How Small Can the Set of Generics Be? 109
Entailment Relations and Distributive Lattices 127
The Friedberg Jump Inversion Theorem Revisited: A Study of Undefinable Cuts 140
Hartley Rogers' 1965 Agenda 154
Liftings of Homomorphisms Between Quotient Structures and Ulam Stability 173
Mathematical Fuzzy Logic - State of Art 197
Reflections on the Last Delfino Problem 206
Continuous Images of Coanalytic Sets 226
Classification of Subsheaves over GL-Algebras 238
On the [Delta][subscript 1][superscript b]-Bit-Comprehension Rule 262
Cardinal Invariants Associated with Predictors 280
A Theorem on Countable Ordered Sets with an Application to Universal Graphs 296
Dimension Theory and Smooth Stratification of Rigid Subanalytic Sets 302
The Ramsey Structure of A-Determined Sets in a [kappa]-Saturated Universe 316
On [Sigma]-Definability of Admissible Sets 334
Additive Theories 352
Adding Multiplication to an O-minimal Expansion of the Additive Group of Real Numbers 357
The Superjump in Martin-Lof Type Theory 363
"Just Because": Taking Belief Bases Seriously 387
Artin Approximation via the Model Theory of Cohen-Macaulay Rings 409
Ordinal Systems, Part 2: One Inaccessible 426
Autonomous Fixed Point Progressions and Fixed Point Transfinite Recursion 449
Finitary Reductions for Local Predicativity, I: Recursively Regular Ordinals 465
The Complexity of Linear Logic with Weakening 500
Some Remarks on the Maximality of Inner Models 516
Author Index 541
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