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Mathematical Logic and Applications

Proceedings of the Logic Meeting held in Kyoto, 1987

  • Conference proceedings
  • © 1989

Overview

Editors:
  1. Juichi Shinoda
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  2. Tosiyuki Tugué
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  3. Theodore A. Slaman
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1388)

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Table of contents (9 papers)

  1. Front Matter

    Pages I-IV
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  2. Recursively enumerable sets in models of Σ2 collection

    • C. T. Chong
    Pages 1-15

  3. The role of a filter quantifier in set theory

    • Yuzuru Kakuda
    Pages 16-95

  4. Syntactical simulation of many-valued logic

    • Hiroaki Katsutani
    Pages 96-119

  5. Consistency of Beeson's formal system RPS and some related results

    • Satoshi Kobayashi
    Pages 120-140

  6. Elementary properties of a system of fundamental sequences for Γo

    • Mamoru Shimoda
    Pages 141-152

  7. The continuum hypothesis and the theory of the Kleene degrees

    • Juichi Shinoda, Theodore A. Slaman
    Pages 153-177

  8. Σ1-Collection and the finite injury priority method

    • Theodore A. Slaman, W. Hugh Woodin
    Pages 178-188

  9. Computational complexity of languages counting random oracles

    • Tomoyuki Yamakami
    Pages 189-202

  10. Infinitesimal calculus interpreted in infinitary logic

    • Mariko Yasugi
    Pages 203-220

  11. Back Matter

    Pages 221-223
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Keywords

About this book

These proceedings include the papers presented at the logic meeting held at the Research Institute for Mathematical Sciences, Kyoto University, in the summer of 1987. The meeting mainly covered the current research in various areas of mathematical logic and its applications in Japan. Several lectures were also presented by logicians from other countries, who visited Japan in the summer of 1987.

Bibliographic Information

  • Book Title: Mathematical Logic and Applications

  • Book Subtitle: Proceedings of the Logic Meeting held in Kyoto, 1987

  • Editors: Juichi Shinoda, Tosiyuki Tugué, Theodore A. Slaman

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0083663

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1989

  • Softcover ISBN: 978-3-540-51527-2Published: 09 August 1989

  • eBook ISBN: 978-3-540-48220-8Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: V, 226

  • Topics: Mathematical Logic and Foundations, Mathematics Education

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