General Recursion Theory

General Recursion Theory PDF

Author: Jens E. Fenstad

Publisher: Cambridge University Press

Published: 2017-03-02

Total Pages: 238

ISBN-13: 1107168163

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This volume presents a unified and coherent account of the many and various parts of general recursion theory.

Recursion Theory

Recursion Theory PDF

Author: Chi Tat Chong

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2015-08-17

Total Pages: 409

ISBN-13: 311038129X

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This monograph presents recursion theory from a generalized point of view centered on the computational aspects of definability. 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 techniques and ideas from recursion theory, hyperarithmetic theory, and descriptive set theory. The emphasis is on the interplay between recursion theory and set theory, anchored on the notion of definability. The monograph covers a number of fundamental results in hyperarithmetic theory as well as some recent results on the structure theory of Turing and hyperdegrees. It also features a chapter on the applications of these investigations to higher randomness.

Recursion Theory

Recursion Theory PDF

Author: Chi Tat Chong

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2015-08-17

Total Pages: 322

ISBN-13: 3110275643

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This monograph presents recursion theory from a generalized point of view centered on the computational aspects of definability. 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 techniques and ideas from recursion theory, hyperarithmetic theory, and descriptive set theory. The emphasis is on the interplay between recursion theory and set theory, anchored on the notion of definability. The monograph covers a number of fundamental results in hyperarithmetic theory as well as some recent results on the structure theory of Turing and hyperdegrees. It also features a chapter on the applications of these investigations to higher randomness.

Recursion Theory Week

Recursion Theory Week PDF

Author: Klaus Ambos-Spies

Publisher: Springer

Published: 2006-11-14

Total Pages: 398

ISBN-13: 3540471421

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These proceedings contain research and survey papers from many subfields of recursion theory, with emphasis on degree theory, in particular the development of frameworks for current techniques in this field. Other topics covered include computational complexity theory, generalized recursion theory, proof theoretic questions in recursion theory, and recursive mathematics.

Higher Recursion Theory

Higher Recursion Theory PDF

Author: Gerald E. Sacks

Publisher: Cambridge University Press

Published: 2017-03-02

Total Pages: 361

ISBN-13: 1107168430

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This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.