This book is dedicated to Dick de Jonghs contributions to the theory of intuitionistic and provability logics. Consisting of 13 chapters, written by leading experts, this book discusses de Jonghs original contributions and consequent developments that have helped to shape these fields.
The book begins with an autobiographic note by Dick de Jongh, which discusses the main themes of his work and places the other contributions in context. The next four chapters explore the De Jongh-Sambin fixed point theorem and other contributions to provability and interpretability logics. The following four chapters focus on modal, intuitionistic and intuitionistic modal logics. They discuss independence of formulas, unification and de Jongh formulas in intuitionistic and modal logics. Then there follow two chapters on the other two areas to which Dick de Jongh made important contributions: the theory of well-partial orders, and formal learning theory. The second to last chapter on Origami Geometry can be seen as representing the Master of Logic program of the Institute for Logic, Language and Computation (ILLC) in which de Jongh invested a lot of energy. The book ends with a complete bibliography of Dick de Jongh in the last chapter. This volume provides a vital overview and continuation of - de Jonghs prolfic work in the theory of intuitionistic and provability logics.
Chapter
1. Notes on my scientic life (Dick de Jongh).
Chapter
2.
Lewisian xed points I: Two incomparable constructions (Tadeusz Litak and
Albert Visser).
Chapter
3. An abstract look at the xed-point theorem for
provability logic (Johan van Benthem).
Chapter
4. The 1-provability logic
of HA revisited (Mojtaba Mojtahedi).
Chapter
5. An overview of Verbrugge
semantics, a.k.a. generalised Veltman semantics (Joost J. Joosten, Jan Mas
Rovira, Luka Mikec, and Mladen Vukovi).
Chapter
6. Deciding dependence in
logic and algebra (George Metcalfe and Naomi Tokuda).
Chapter
7. About the
unication types of modal logics (Philippe Balbiani and Ēidem Gencer).-
Chapter
8. Proof theory for lax logic (Rosalie Iemhoff).
Chapter
9.
Intermediate logics in the setting of team semantics (Nick Bezhanishvili and
Fan Yang).
Chapter
10. Well partial orders (Andreas Weiermann).
Chapter
11.
Learning to act and observe in partially observable domains (Thomas Bolander,
Nina Gierasimczuk, and Andrés Occhipinti Liberman).
Chapter
12. Axiomatizing
origami planes (Lev Beklemishev, Anna Dmitrieva, and Johann A. Makowsky).-
Chapter
13. Bibliography of Dick de Jongh.
Biežāk uzdotie jautājumi par e-grāmatām