Chatzidakis / Koepke / Pohlers Logic Colloquium '02

Erscheinungsjahr 2020
ISBN: 978-1-108-63167-9
Verlag: Cambridge University Press
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 27, 0 Seiten

Reihe: Lecture Notes in Logic

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 twenty-seventh publication in the Lecture Notes in Logic series, contains the proceedings of two conferences: the European Summer Meeting of the Association for Symbolic Logic and the Colloquium Logicum, held in Münster, Germany in August, 2002. This compilation of articles from some of the world's preeminent logicians spans all areas of mathematical logic, including philosophical logic and computer science logic. It contains expanded versions of a number of invited plenary talks and tutorials that will be of interest to graduate students and researchers in the field of mathematical logic.

Autoren/Hrsg.

Chatzidakis, Zoé

Chatzidakis, Zoe

Koepke, Peter

Pohlers, Wolfram

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik

Inhaltsverzeichnis

Preface; Participants photograph; 1. Generic absoluteness for S1 formulas and the continuum problem David Asperó; 2. Axioms of generic absoluteness Joan Bagaria; 3. Generalised dynamic ordinals – universal measures for implicit computational complexity Arnold Beckmann; 4. The Worm principle Lev D. Beklemishev; 5. 'One is a lonely number': logic and communication Johan van Benthem; 6. Computable versions of the uniform boundedness theorem Vasco Brattka; 7. Symmetry of the universal computable function: a study of its automorphisms, homomorphisms and isomorphic embeddings Elías F. Combarro; 8. PCF theory and Wooodin cardinals Moti Gitik, Ralf Schindler and Saharon Shelah; 9. Embedding finite lattices into the computably enumerable degrees – a status survey Steffen Lempp, Manuel Lerman and Reed Solomon; 10. Dimension theory inside a homogeneous model Olivier Lessmann; 11. Reals which compute little André Nies; 12. Bisimulation invariance and finite models Martin Otto; 13. Choice principles in constructive and classical set theories Michael Rathjen; 14. Ash's theorem for abstract structures Ivan N. Soskov and Vessela Baleva; 15. Martin-Löf random and PA-complete sets Frank Stephan; 16. Learning and computing in the limit Sebastiaan A. Terwijn.

Über Autor(innen)

Koepke, Peter
Peter Koepke is a Professor at the Rheinische Friedrich-Wilhelms-Universität Bonn, Germany. His research concentrates on set theory and inner models.

Chatzidakis, Zoé
Zoé Chatzidakis is a researcher at the Centre national de la recherche scientifique (CNRS), attached to the Université Paris 7, France. She works on model theory applied to algebraic structures.

Pohlers, Wolfram
Wolfram Pohlers is a Professor at the Institut für Mathematische Logik und Grundlagenforschung, Münster, Germany. His research focuses on infinitary proof theory and its applications.