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Recursion-Theoretic Hierarchies

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Author(s): Peter G. Hinman
Series: Perspectives in Mathematical Logic
Publisher: Springer
Year: 1978

Language: English
Pages: 490


Content:
Front Matter....Pages I-XII
Introduction....Pages 1-4
Front Matter....Pages 5-5
Groundwork....Pages 7-26
Ordinary Recursion Theory....Pages 27-68
Hierarchies and Definability....Pages 69-132
Front Matter....Pages 133-134
The First Level....Pages 135-200
? 2 1 and Beyond....Pages 201-256
Front Matter....Pages 257-258
Recursion in a Type-2 Functional....Pages 259-342
Recursion in a Type-3 Functional....Pages 343-370
Recursion on Ordinals....Pages 371-444
Epilogue....Pages 445-457
Back Matter....Pages 459-482