Program Extraction via Typed Realisability for Induction and Coinduction

Chapters in this book

1. Frontmatter i
2. Preface vi
3. Contents vii
4. Wolfram Pohlers—Life and Work 1
5. The Proof Theory of Classical and Constructive Inductive Definitions. A Forty Year Saga, 1968 – 2008 7
6. A New Approach to Predicative Set Theory 31
7. Characterising Definable Search Problems in Bounded Arithmetic via Proof Notations 65
8. On Topological Models of GLP 135
9. Program Extraction via Typed Realisability for Induction and Coinduction 157
10. Another Reduction of Classical IDν to Constructive IDiν 183
11. Elementary Constructive Operational Set Theory 199
12. Functional Interpretations of Classical Systems 241
13. Towards a Formal Theory of Computability 257
14. Σ11 Choice in a Theory of Sets and Classes 283
15. An Extended Predicative Definition of the Mahlo Universe 315
16. ITTMs with Feedback 341
17. Logspace without Bounds 355
18. Investigations of Subsystems of Second Order Arithmetic and Set Theory in Strength between Π11 -CA and Δ12 -CA + BI: Part I 363
19. Weak Theories of Operations and Types 441
20. Computing Bounds from Arithmetical Proofs 469
21. Backmatter 487