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Logic Colloquium '98

Logic Colloquium '98

Part of Lecture Notes in Logic

Klaus Ambos Spies, Levke Bentzien, Peter A. Fejer, Wolfgang Merkle, Frank Stephan, Horacio Arló Costa, Marat M. Arslanov, Andrea Sorbi, Jeremy Avigad, Matthias Baaz, Helmut Veith, Lev Beklemishev, Jörg Brendle, Jan Cederquist, Thierry Coquand, Chi Tat Chong, Lei Qian, Yue Yang, S. Barry Cooper, Ilijas Farah, Petr Hájek, Kai Hauser, Greg Hjorth, Ulrich Hőhle, Jan Johannsen, Chris Pollett, Shizuo Kamo, Péter Komjáth, Leonard Lipshitz, Zachary Robinson, Josef Mlček, Pavol Zlatoš, Andrei S. Morozov, Evgeny A. Palyutin, Yaácov Peterzil, Patrick Speissegger, Sergei Starchenko, Michael Rathjen, Hans Rott, Hans Shoutens, Anton Setzer, Thomas Strahm, Sergei Tupailo, Alasdair Urquhart, Phillip D. Welch
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  • Publication planned for: April 2020
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9781108618489

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About the Authors
  • Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the thirteenth publication in the Lecture Notes in Logic series, collects the proceedings of the European Summer Meeting of the Association for Symbolic Logic held at the University of Economics in Prague, August 9–15, 1988. It includes surveys and research from preeminent logicians. The papers in this volume range over all areas of mathematical logic, including proof theory, set theory, model theory, computability theory and philosophy. This book will be of interest to all students and researchers in mathematical logic.

    • Contains a number of papers by leading researchers in logic
    • Covers all areas of mathematical logic, including proof theory, set theory, model theory, computability theory and philosophy
    • Of interest to both students and researchers in mathematical logic
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    Product details

    • Publication planned for: April 2020
    • format: Adobe eBook Reader
    • isbn: 9781108618489
    • contains: 4 b/w illus.
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Preface
    Opening speech of Peter Vopěnka
    Bolzano medal awarded to Gaisi Takeuti
    1. Collapsing polynomial-time degrees Klaus Ambos Spies, Levke Bentzien, Peter A. Fejer, Wolfgang Merkle and Frank Stephan
    2. Qualitative and probabilistic models of full belief Horacio Arló Costa
    3. Relative splittings of the 0'e in the Δ02-enumeration degrees Marat M. Arslanov and Andrea Sorbi
    4. A realizability interpretation for classical arithmetic Jeremy Avigad
    5. An axiomatization of quantified propositional Gödel logic using the Takeuti–Titani rule Matthias Baaz and Helmut Veith
    6. Another pathological well-ordering Lev Beklemishev
    7. How small can the set of generics be? Jörg Brendle
    8. Entailment relations and distributive lattices Jan Cederquist and Thierry Coquand
    9. The Friedberg jump inversion theorem revisited – a study of undefinable cuts Chi Tat Chong, Lei Qian and Yue Yang
    10. Hartley Rogers' 1965 agenda S. Barry Cooper
    11. Liftings of homomorphisms between quotient structures and Ulam stability Ilijas Farah
    12. Mathematical fuzzy logic – state of the art Petr Hájek
    13. Reflections on the last Delfino problem Kai Hauser
    14. Continuous images of coanalytic sets Greg Hjorth
    15. Classification of subsheaves over GL-algebras Ulrich Hőhle
    16. On the Δ1b -bit-comprehension rule Jan Johannsen and Chris Pollett
    17. Cardinal invariants associated with predictors Shizuo Kamo
    18. theorem on countable ordered sets with an application to universal graphs Péter Komjáth
    19. Dimension theory and stratification of rigid subanalytic sets Leonard Lipshitz and Zachary Robinson
    20. The Ramsey structure of A-determined sets in a κ-saturated universe Josef Mlček and Pavol Zlatoš
    21. On Σ-definability of admissible sets Andrei S. Morozov
    22. Additive theories Evgeny A. Palyutin
    23. Adding multiplication to an O-minimal expansion of the additive group of real numbers Yaácov Peterzil, Patrick Speissegger and Sergei Starchenko
    24. The superjump in Martin-Löf type theory Michael Rathjen
    25. 'Just because': taking belief bases seriously Hans Rott
    26. Artin approximation via the model theory of Cohen–Macaulay rings Hans Schoutens
    27. Ordinal systems: one inaccessible Anton Setzer
    28. Autonomous fixed point progressions and fixed point transfinite recursion Thomas Strahm
    29. Finitary reductions for local predicativity: recursively regular ordinals Sergei Tupailo
    30. The complexity of linear logic with weakening Alasdair Urquhart
    31. Some remarks on the maximality of inner models Philip D. Welch
    Author index.

  • Editors

    Samuel R. Buss, University of California, San Diego
    Samuel R. Buss works in the Department of Mathematics at the University of California, San Diego.

    Petr Hájek, Academy of Sciences of the Czech Republic, Prague
    Petr Hájek works in the Institute of Computer Science at the Academy of Sciences of the Czech Republic, Prague.

    Pavel Pudlák, Academy of Sciences of the Czech Republic, Prague
    Pavel Pudlák works in the Mathematics Institute at the Academy of Sciences of the Czech Republic, Prague.

    Contributors

    Klaus Ambos Spies, Levke Bentzien, Peter A. Fejer, Wolfgang Merkle, Frank Stephan, Horacio Arló Costa, Marat M. Arslanov, Andrea Sorbi, Jeremy Avigad, Matthias Baaz, Helmut Veith, Lev Beklemishev, Jörg Brendle, Jan Cederquist, Thierry Coquand, Chi Tat Chong, Lei Qian, Yue Yang, S. Barry Cooper, Ilijas Farah, Petr Hájek, Kai Hauser, Greg Hjorth, Ulrich Hőhle, Jan Johannsen, Chris Pollett, Shizuo Kamo, Péter Komjáth, Leonard Lipshitz, Zachary Robinson, Josef Mlček, Pavol Zlatoš, Andrei S. Morozov, Evgeny A. Palyutin, Yaácov Peterzil, Patrick Speissegger, Sergei Starchenko, Michael Rathjen, Hans Rott, Hans Shoutens, Anton Setzer, Thomas Strahm, Sergei Tupailo, Alasdair Urquhart, Phillip D. Welch

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