Degrees of Unsolvability: Local and Global Theory

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Author(s): Manuel Lerman
Series: Perspectives in Mathematical Logic
Publisher: Springer
Year: 1983

Language: English
Pages: 316


Content:
Front Matter....Pages I-XIII
Introduction....Pages 1-4
Front Matter....Pages 5-5
Recursive Functions....Pages 7-14
Embeddings and Extensions of Embeddings in the Degrees....Pages 15-33
The Jump Operator....Pages 34-74
High/Low Hierarchies....Pages 75-97
Front Matter....Pages 99-99
Minimal Degrees....Pages 101-117
Finite Distributive Lattices....Pages 118-147
Finite Lattices....Pages 148-160
Countable Usls....Pages 161-179
Front Matter....Pages 181-181
Minimal Degrees and High/Low Hierarchies....Pages 183-197
Jumps of Minimal Degrees....Pages 198-211
Bounding Minimal Degrees with Recursively Enumerable Degrees....Pages 212-220
Initial Segments of D[0, 0?]....Pages 221-261
Back Matter....Pages 262-310