Fundamentals of Generalized Recursion Theory PDF Download
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Author: M. Fitting
Publisher: Elsevier
ISBN: 0080960316
Category : Mathematics
Languages : en
Pages : 329
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Book Description
Fundamentals of Generalized Recursion Theory
Author: Heinz-Dieter Ebbinghaus
Publisher: Springer
ISBN: 3540395962
Category : Mathematics
Languages : en
Pages : 427
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Book Description
Author: Gerald E. Sacks
Publisher: Cambridge University Press
ISBN: 1107168430
Category : Computers
Languages : en
Pages : 361
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Book Description
This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.
Author: Melvin Fitting
Publisher: Elsevier
ISBN: 0444861718
Category : Recursion theory
Languages : en
Pages : 329
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Book Description
Provability, Computability and Reflection.
Author: M. Fitting
Publisher: Elsevier
ISBN: 0080960316
Category : Mathematics
Languages : en
Pages : 329
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Book Description
Fundamentals of Generalized Recursion Theory
Author: Chi Tat Chong
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311038129X
Category : Mathematics
Languages : en
Pages : 409
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Book Description
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.
Author: Joseph R. Shoenfield
Publisher: Cambridge University Press
ISBN: 1316739333
Category : Mathematics
Languages : en
Pages : 94
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Book Description
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the first publication in the Lecture Notes in Logic series, Shoenfield gives a clear and focused introduction to recursion theory. The fundamental concept of recursion makes the idea of computability accessible to a mathematical analysis, thus forming one of the pillars on which modern computer science rests. This introduction is an ideal instrument for teaching and self-study that prepares the reader for the study of advanced monographs and the current literature on recursion theory.
Author: Jens E. Fenstad
Publisher: Cambridge University Press
ISBN: 1107168163
Category : Mathematics
Languages : en
Pages : 238
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Book Description
This volume presents a unified and coherent account of the many and various parts of general recursion theory.
Author: Jens E. Fenstad
Publisher: Cambridge University Press
ISBN: 1316739368
Category : Mathematics
Languages : en
Pages : 239
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Book Description
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the tenth publication in the Perspectives in Logic series, Jens E. Fenstad takes an axiomatic approach to present a unified and coherent account of the many and various parts of general recursion theory. The main core of the book gives an account of the general theory of computations. The author then moves on to show how computation theories connect with and unify other parts of general recursion theory. Some mathematical maturity is required of the reader, who is assumed to have some acquaintance with recursion theory. This book is ideal for a second course in the subject.
Author: Peter G. Hinman
Publisher: Cambridge University Press
ISBN: 1107168244
Category : Mathematics
Languages : en
Pages : 493
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Book Description
The theory set out in this book results from the meeting of descriptive set theory and recursion theory.
Author: Stephen Cole Kleene
Publisher: American Mathematical Soc.
ISBN: 0821812890
Category : Intuitionistic mathematics
Languages : en
Pages : 110
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Book Description
This monograph carries out the program which the author formulated in earlier work, the formalization of the theory of recursive functions of type 0 and 1 and of the theory of realizability.
