Higher Recursion Theory
Title | Higher Recursion Theory PDF eBook |
Author | Gerald E. Sacks |
Publisher | Cambridge University Press |
Pages | 361 |
Release | 2017-03-02 |
Genre | Computers |
ISBN | 1107168430 |
This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.
Higher Recursion Theory
Title | Higher Recursion Theory PDF eBook |
Author | Gerald E. Sacks |
Publisher | Cambridge University Press |
Pages | 362 |
Release | 2017-03-02 |
Genre | Mathematics |
ISBN | 1316739465 |
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. This volume, the second publication in the Perspectives in Logic series, is an almost self-contained introduction to higher recursion theory, in which the reader is only assumed to know the basics of classical recursion theory. The book is divided into four parts: hyperarithmetic sets, metarecursion, α-recursion, and E-recursion. This text is essential reading for all researchers in the field.
Recursion Theory
Title | Recursion Theory PDF eBook |
Author | Chi Tat Chong |
Publisher | Walter de Gruyter GmbH & Co KG |
Pages | 409 |
Release | 2015-08-17 |
Genre | Mathematics |
ISBN | 311038129X |
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.
Techniques of Admissible Recursion Theory
Title | Techniques of Admissible Recursion Theory PDF eBook |
Author | C. T. Chong |
Publisher | Springer |
Pages | 223 |
Release | 2006-12-08 |
Genre | Mathematics |
ISBN | 3540391215 |
Contributions to Higher Recursion Theory
Title | Contributions to Higher Recursion Theory PDF eBook |
Author | Sherry Elizabeth Marcus |
Publisher | |
Pages | 132 |
Release | 1993 |
Genre | |
ISBN |
Computability
Title | Computability PDF eBook |
Author | Nigel Cutland |
Publisher | Cambridge University Press |
Pages | 268 |
Release | 1980-06-19 |
Genre | Computers |
ISBN | 9780521294652 |
What can computers do in principle? What are their inherent theoretical limitations? The theoretical framework which enables such questions to be answered has been developed over the last fifty years from the idea of a computable function - a function whose values can be calculated in an automatic way.
Recursion Theory and Computational Complexity
Title | Recursion Theory and Computational Complexity PDF eBook |
Author | G. Lolli |
Publisher | |
Pages | 242 |
Release | 2011-03-30 |
Genre | |
ISBN | 9783642110757 |