| Description |
1 online resource (xiii, 306 pages) |
| Series |
De Gruyter series in logic and its applications ; Volume 8 |
|
De Gruyter series in logic and its applications ; 8.
|
| Contents |
Part I: Fundamental theory -- Part II: The story of turing degrees -- Part III: Hyperarithmetic degrees and perfect set properly -- Part IV: Higher randomness theory |
| Summary |
This monograph presents recursion theory from a generalized and largely global point of view. A major theme is the study of the structures of degrees arising from two key notions of reducibility, the Turing degrees and the hyperdegrees, using ideas and techniques beyond those of classical recursion theory. These include structure theory, hyperarithmetic determinacy and rigidity, basis theorems, independence results on Turing degrees, as well as applications to higher randomness |
| Bibliography |
Includes bibliographical reference (pages 295-301) and index |
| Notes |
In English |
|
Print version record |
| Subject |
Recursion theory.
|
|
MATHEMATICS -- General.
|
|
Recursion theory
|
| Form |
Electronic book
|
| Author |
Yu, Liang (Professor of mathematics), author.
|
| ISBN |
9783110275643 |
|
3110275643 |
|
9783110275650 |
|
3110275651 |
|
