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Higher Recursion Theory (Perspectives in Mathematical Logic)

Gerald E. Sacks




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 | #6545899 in Books |  1990-12-03 | Original language:English | PDF # 1 |  6.14 x.81 x9.21l,1.10 | File type: PDF | 359 pages

||About the Author|Gerald E. Sacks works in the Department of Mathematics at Harvard University, Massachusetts and at the Massachusetts Institute of Technology.

Hyperarithmetic theory is the first step beyond classical recursion theory. It is the primary source of ideas and examples in higher recursion theory. It is also a crossroad for several areas of mathematical logic: in set theory it is an initial segment of Godel's L; in model theory, the least admissible set after ; in descriptive set theory, the setting for effective arguments. In this book, hyperarithmetic theory is developed at length and used to lift classical recurs...

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