Recursively Enumerable Sets and Degrees

Recursively Enumerable Sets and Degrees
Author: Robert I. Soare
Publisher: Springer Science & Business Media
Total Pages: 460
Release: 1999-11-01
Genre: Mathematics
ISBN: 9783540152996


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..."The book, written by one of the main researchers on the field, gives a complete account of the theory of r.e. degrees. .... The definitions, results and proofs are always clearly motivated and explained before the formal presentation; the proofs are described with remarkable clarity and conciseness. The book is highly recommended to everyone interested in logic. It also provides a useful background to computer scientists, in particular to theoretical computer scientists." Acta Scientiarum Mathematicarum, Ungarn 1988 ..."The main purpose of this book is to introduce the reader to the main results and to the intricacies of the current theory for the recurseively enumerable sets and degrees. The author has managed to give a coherent exposition of a rather complex and messy area of logic, and with this book degree-theory is far more accessible to students and logicians in other fields than it used to be." Zentralblatt für Mathematik, 623.1988


Recursively Enumerable Sets and Degrees
Language: en
Pages: 460
Authors: Robert I. Soare
Categories: Mathematics
Type: BOOK - Published: 1999-11-01 - Publisher: Springer Science & Business Media

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..."The book, written by one of the main researchers on the field, gives a complete account of the theory of r.e. degrees. .... The definitions, results and pro
A Hierarchy of Turing Degrees
Language: en
Pages: 234
Authors: Rod Downey
Categories: Computers
Type: BOOK - Published: 2020-06-16 - Publisher: Princeton University Press

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[Alpha]-c.a. functions -- The hierarchy of totally [alpha]-c.a. degrees -- Maximal totally [alpha]-c.a. degrees -- Presentations of left-c.e. reals -- m-topped
Turing Computability
Language: en
Pages: 289
Authors: Robert I. Soare
Categories: Computers
Type: BOOK - Published: 2016-06-20 - Publisher: Springer

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Turing's famous 1936 paper introduced a formal definition of a computing machine, a Turing machine. This model led to both the development of actual computers a
Computability in Analysis and Physics
Language: en
Pages: 219
Authors: Marian B. Pour-El
Categories: Mathematics
Type: BOOK - Published: 2017-03-02 - Publisher: Cambridge University Press

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The first graduate-level treatment of computable analysis within the tradition of classical mathematical reasoning.
Degrees of Unsolvability. (AM-55), Volume 55
Language: en
Pages: 192
Authors: Gerald E. Sacks
Categories: Mathematics
Type: BOOK - Published: 2016-03-02 - Publisher: Princeton University Press

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The description for this book, Degrees of Unsolvability. (AM-55), Volume 55, will be forthcoming.