Recursion Theory A Generalized Point of View |
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| Author:
| Chong, Chi Tat
Yu, Liang |
| Series title: | De Gruyter Series in Logic and Its Applications Ser. |
| ISBN: | 978-3-11-027565-0 |
| Publication Date: | Jun 2015 |
| Publisher: | De Gruyter, Inc.
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| Book Format: | Mixed media product |
| List Price: | USD $252.00 |
Book Description:
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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.
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.