Logic Colloquium '01: Lecture Notes In Logic, 20 / Edition 20

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Overview

A compilation of papers presented at the 2001 European Summer Meeting of the Association for Symbolic Logic, Logic Colloquium '01 includes surveys and research articles from some of the world's preeminent logicians. Two long articles are based on tutorials given at the meeting and present accessible expositions of research in two active areas of logic, geometric model theory and descriptive set theory of group actions. The remaining articles cover seperate research topics in many areas of mathematical logic, including applications in Computer Science, Proof Theory, Set Theory, Model Theory, Computability Theory, and aspects of Philosophy. This collection will be of interest not only to specialists in mathematical logic, but also to philosophical logicians, historians of logic, computer scientists, formal linguists and mathematicians in the areas of algebra, abstract analysis and topology. A number of the articles are aimed at non-specialists and serve as good introductions for graduate students.
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Product Details

  • ISBN-13: 9781568812472
  • Publisher: Taylor & Francis
  • Publication date: 3/7/2005
  • Series: Lecture Notes in Logic Ser.
  • Edition number: 20
  • Pages: 504
  • Product dimensions: 62.50 (w) x 90.00 (h) x 1.25 (d)

Table of Contents

Resolution theorem proving : a logical point of view 3
An introduction to proofs of determinacy of long games 43
Modified bar recursion and classical dependent choice 89
Choice and uniformity in weak applicative theories 108
Compactness and incompactness phenomena in set theory 139
Selection for Borel relations 151
Interpolation in goal-directed proof systems 1 170
Sequences of degrees associated with models of arithmetic 217
The limit theory of generic polynomials 242
Moschovakis's notion of meaning as applied to linguistics 255
Tameness in expansions of the real field 281
The model theory of compact complex spaces 317
"Natural" representations and extensions of Godel's second theorem 350
Effective Hausdorff dimension 369
Mutual stationarity in the core model 386
The pair (N[subscript n], N[subscript 0]) may fail N[subscript 0]-compactness 402
Incompleteness theorem and its frontier 434
Groups in simple theories 440
Provable recursiveness and complexity 468
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