Ordinal Definability and Recursion Theory

Preface Alexander S. Kechris, Benedikt Löwe and John R. Steel
Original numbering
Part V. HOD and its Local Versions: Ordinal definability in models of determinacy – Introduction to Part V John R. Steel
Partially playful universes Howard S. Becker
Ordinal games and playful models Yiannis N. Moschovakis
Measurable cardinals in playful models Howard S. Becker and Yiannis N. Moschovakis
Introduction to Q-theory Alexander S. Kechris, Donald A. Martin and Robert M. Solovay
On the theory of ∏1/3 sets of reals, II Alexander S. Kechris and Donald A. Martin
An inner models proof of the Kechris–Martin theorem Itay Neeman
A theorem of Woodin on mouse sets John R. Steel
HOD as a core model John R. Steel and W. Hugh Woodin
Part VI. Recursion Theory: Recursion theoretic papers – Introduction to Part VI Leo A. Harrington and Theodore A. Slaman
On recursion in E and semi-Spector classes Phokion G. Kolaitis
On Spector classes Alexander S. Kechris
Trees and degrees Piergiorgio Odifreddi
Definable functions on degrees Theodore A. Slaman and John R. Steel
∏1/2 monotone inductive definitions Donald A. Martin
Martin's conjecture, arithmetic equivalence, and countable Borel equivalence relations Andrew Marks, Theodore A. Slaman and John R. Steel
Bibliography.