Higher Recursion Theory

ISBN-13: 9781107168435 / Angielski / Twarda / 2017 / 360 str.

Gerald E. Sacks

Opis

This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.

Spis treści

Part I. Hyperarithmetic Sets: 1. Constructive ordinals and \prod_1^1 sets; 2. The hyperarithmetic hierarchy; 3. \Sigma_1^1 predicates of reals; 4. Measure and forcing; Part II. Metarecursion: 5. Metarecursive enumerability; 6. Hyperregularity and priority; Part III. α-Recursion: 7. Admissibility and regularity; 8. Priority arguments; 9. Splitting, density and beyond; Part IV. E-Recursion: 10. E-closed structures; 11. Forcing computations to converge; 12. Selection and k-sections; 13. E-recursively enumerable degrees; Bibliography; Subject index.