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Author: Gerald E. Sacks
Publisher: Princeton University Press
ISBN: 9780691079417
Category : Mathematics
Languages : en
Pages : 192
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Book Description
A classic treatment of degrees of unsolvability from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
Author: Gerald E. Sacks
Publisher: Princeton University Press
ISBN: 9780691079417
Category : Mathematics
Languages : en
Pages : 192
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Book Description
A classic treatment of degrees of unsolvability from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
Author: Gerald E. Sacks
Publisher: Princeton University Press
ISBN: 0691079412
Category : Mathematics
Languages : en
Pages : 188
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Book Description
A classic treatment of degrees of unsolvability from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
Author: Richard L. Epstein
Publisher: American Mathematical Soc.
ISBN: 0821818627
Category : Constructive mathematics
Languages : en
Pages : 148
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Book Description
For the purposes of this monograph, "by a degree" is meant a degree of recursive unsolvability. A degree [script bold]m is said to be minimal if 0 is the unique degree less than [script bold]m. Each of the six chapters of this self-contained monograph is devoted to the proof of an existence theorem for minimal degrees.
Author: Gerald E. Sacks
Publisher: Princeton University Press
ISBN: 1400881846
Category : Mathematics
Languages : en
Pages : 192
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Book Description
The description for this book, Degrees of Unsolvability. (AM-55), Volume 55, will be forthcoming.
Author: Gerald E. Sacks
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 196
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Book Description
Author: S. B. Cooper
Publisher: Cambridge University Press
ISBN: 0521557364
Category : Mathematics
Languages : en
Pages : 359
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Book Description
The fundamental ideas concerning computation and recursion naturally find their place at the interface between logic and theoretical computer science. The contributions in this book, by leaders in the field, provide a picture of current ideas and methods in the ongoing investigations into the pure mathematical foundations of computability theory. The topics range over computable functions, enumerable sets, degree structures, complexity, subrecursiveness, domains and inductive inference. A number of the articles contain introductory and background material which it is hoped will make this volume an invaluable resource.
Author: Borut Robič
Publisher: Springer
ISBN: 3662448084
Category : Computers
Languages : en
Pages : 341
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Book Description
This book offers an original and informative view of the development of fundamental concepts of computability theory. The treatment is put into historical context, emphasizing the motivation for ideas as well as their logical and formal development. In Part I the author introduces computability theory, with chapters on the foundational crisis of mathematics in the early twentieth century, and formalism; in Part II he explains classical computability theory, with chapters on the quest for formalization, the Turing Machine, and early successes such as defining incomputable problems, c.e. (computably enumerable) sets, and developing methods for proving incomputability; in Part III he explains relative computability, with chapters on computation with external help, degrees of unsolvability, the Turing hierarchy of unsolvability, the class of degrees of unsolvability, c.e. degrees and the priority method, and the arithmetical hierarchy. This is a gentle introduction from the origins of computability theory up to current research, and it will be of value as a textbook and guide for advanced undergraduate and graduate students and researchers in the domains of computability theory and theoretical computer science.
Author: Cyrus F. Nourani
Publisher: CRC Press
ISBN: 1771882484
Category : Mathematics
Languages : en
Pages : 304
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Book Description
This book, Algebraic Computability and Enumeration Models: Recursion Theory and Descriptive Complexity, presents new techniques with functorial models to address important areas on pure mathematics and computability theory from the algebraic viewpoint. The reader is first introduced to categories and functorial models, with Kleene algebra examples
Author: Anil Nerode
Publisher: American Mathematical Soc.
ISBN: 0821814478
Category : Mathematics
Languages : en
Pages : 538
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Book Description
Author: Manuel Lerman
Publisher: Cambridge University Press
ISBN: 131673935X
Category : Mathematics
Languages : en
Pages : 323
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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 eleventh publication in the Perspectives in Logic series, Manuel Lerman presents a systematic study of the interaction between local and global degree theory. He introduces the reader to the fascinating combinatorial methods of recursion theory while simultaneously showing how to use these methods to prove global theorems about degrees. The intended reader will have already taken a graduate-level course in recursion theory, but this book will also be accessible to those with some background in mathematical logic and a feeling for computability. It will prove a key reference to enable readers to easily locate facts about degrees and it will direct them to further results.
