Theory Of Recursively Enumerable Sets And Degrees Of Recursive Unsolvability PDF Download
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Author | : Robert I. Soare |
Publisher | : Springer Science & Business Media |
Total Pages | : 460 |
Release | : 1999-11-01 |
Genre | : Mathematics |
ISBN | : 9783540152996 |
Download Recursively Enumerable Sets and Degrees Book in PDF, ePub and Kindle
..."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
Author | : C.E.M. Yates |
Publisher | : |
Total Pages | : |
Release | : 1963 |
Genre | : |
ISBN | : |
Download Theory of Recursively Enumerable Sets and Degrees of Recursive Unsolvability Book in PDF, ePub and Kindle
Author | : S. B. Cooper |
Publisher | : Cambridge University Press |
Total Pages | : 359 |
Release | : 1996-01-11 |
Genre | : Mathematics |
ISBN | : 0521557364 |
Download Computability, Enumerability, Unsolvability Book in PDF, ePub and Kindle
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 | : Gerald E. Sacks |
Publisher | : Cambridge University Press |
Total Pages | : 361 |
Release | : 2017-03-02 |
Genre | : Computers |
ISBN | : 1107168430 |
Download Higher Recursion Theory Book in PDF, ePub and Kindle
This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.
Author | : Robin O. Gandy |
Publisher | : |
Total Pages | : 228 |
Release | : 1967 |
Genre | : Recursion theory |
ISBN | : |
Download Recursive Function Theory Book in PDF, ePub and Kindle
Author | : Nigel Cutland |
Publisher | : Cambridge University Press |
Total Pages | : 268 |
Release | : 1980-06-19 |
Genre | : Computers |
ISBN | : 1139935607 |
Download Computability Book in PDF, ePub and Kindle
What can computers do in principle? What are their inherent theoretical limitations? These are questions to which computer scientists must address themselves. 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: intuitively a function whose values can be calculated in an effective or automatic way. This book is an introduction to computability theory (or recursion theory as it is traditionally known to mathematicians). Dr Cutland begins with a mathematical characterisation of computable functions using a simple idealised computer (a register machine); after some comparison with other characterisations, he develops the mathematical theory, including a full discussion of non-computability and undecidability, and the theory of recursive and recursively enumerable sets. The later chapters provide an introduction to more advanced topics such as Gödel's incompleteness theorem, degrees of unsolvability, the Recursion theorems and the theory of complexity of computation. Computability is thus a branch of mathematics which is of relevance also to computer scientists and philosophers. Mathematics students with no prior knowledge of the subject and computer science students who wish to supplement their practical expertise with some theoretical background will find this book of use and interest.
Author | : Manuel Lerman |
Publisher | : Cambridge University Press |
Total Pages | : 322 |
Release | : 2017-04-06 |
Genre | : Mathematics |
ISBN | : 1107168139 |
Download Degrees of Unsolvability Book in PDF, ePub and Kindle
This volume presents a systematic study of the interaction between local and global degree theory. It 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.
Author | : R.I.·索尔 (美) |
Publisher | : |
Total Pages | : 437 |
Release | : 1987 |
Genre | : Computable functions |
ISBN | : 9787030182951 |
Download 递归可枚举集和图灵度/[英文本]/可计算函数与可计算生成集研究/国外数学名著系列/Recursively enumerable sets and degerees Book in PDF, ePub and Kindle
Author | : Rod G. Downey |
Publisher | : |
Total Pages | : 64 |
Release | : 1992 |
Genre | : Recursion theory |
ISBN | : |
Download Degree Theoretic Definitions on the Low2 Recursively Enumerable Sets Book in PDF, ePub and Kindle
Author | : Manuel Lerman |
Publisher | : Cambridge University Press |
Total Pages | : 323 |
Release | : 2017-04-06 |
Genre | : Mathematics |
ISBN | : 131673935X |
Download Degrees of Unsolvability Book in PDF, ePub and Kindle
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.