Classical Recursion Theory PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Classical Recursion Theory PDF full book. Access full book title Classical Recursion Theory.
Author | : P. Odifreddi |
Publisher | : Elsevier |
Total Pages | : 667 |
Release | : 1992-02-04 |
Genre | : Computers |
ISBN | : 9780080886596 |
Download Classical Recursion Theory Book in PDF, ePub and Kindle
1988 marked the first centenary of Recursion Theory, since Dedekind's 1888 paper on the nature of number. Now available in paperback, this book is both a comprehensive reference for the subject and a textbook starting from first principles. Among the subjects covered are: various equivalent approaches to effective computability and their relations with computers and programming languages; a discussion of Church's thesis; a modern solution to Post's problem; global properties of Turing degrees; and a complete algebraic characterization of many-one degrees. Included are a number of applications to logic (in particular Gödel's theorems) and to computer science, for which Recursion Theory provides the theoretical foundation.
Author | : Piergiorgio Odifreddi |
Publisher | : |
Total Pages | : 668 |
Release | : 1999 |
Genre | : Recursion theory |
ISBN | : 9780444589439 |
Download Classical recursion theory : the theory of functions and sets of natural numbers Book in PDF, ePub and Kindle
Author | : Piergiorgio Odifreddi |
Publisher | : |
Total Pages | : 668 |
Release | : 1989 |
Genre | : Recursion theory |
ISBN | : |
Download Classical recursion theory : the theory of functions and sets of natural numbers Book in PDF, ePub and Kindle
Author | : Piergiorgio Odifreddi |
Publisher | : Elsevier Health Sciences |
Total Pages | : 696 |
Release | : 1989 |
Genre | : Computers |
ISBN | : |
Download Classical Recursion Theory Book in PDF, ePub and Kindle
1988 marked the first centenary of Recursion Theory, since Dedekind's 1888 paper on the nature of number. Now available in paperback, this book is both a comprehensive reference for the subject and a textbook starting from first principles. Among the subjects covered are: various equivalent approaches to effective computability and their relations with computers and programming languages; a discussion of Church's thesis; a modern solution to Post's problem; global properties of Turing degrees; and a complete algebraic characterization of many-one degrees. Included are a number of applications to logic (in particular Gödel's theorems) and to computer science, for which Recursion Theory provides the theoretical foundation.
Author | : Piergiorgio Odifreddi |
Publisher | : Elsevier Health Sciences |
Total Pages | : 696 |
Release | : 1989 |
Genre | : Computers |
ISBN | : |
Download Classical Recursion Theory Book in PDF, ePub and Kindle
1988 marked the first centenary of Recursion Theory, since Dedekind's 1888 paper on the nature of number. Now available in paperback, this book is both a comprehensive reference for the subject and a textbook starting from first principles. Among the subjects covered are: various equivalent approaches to effective computability and their relations with computers and programming languages; a discussion of Church's thesis; a modern solution to Post's problem; global properties of Turing degrees; and a complete algebraic characterization of many-one degrees. Included are a number of applications to logic (in particular Gödel's theorems) and to computer science, for which Recursion Theory provides the theoretical foundation.
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 | : Chi Tat Chong |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 409 |
Release | : 2015-08-17 |
Genre | : Mathematics |
ISBN | : 311038129X |
Download Recursion Theory Book in PDF, ePub and Kindle
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 | : Piergiorgio Odifreddi |
Publisher | : |
Total Pages | : 0 |
Release | : |
Genre | : Recursion theory |
ISBN | : |
Download Classical Recursion Theory Book in PDF, ePub and Kindle
Author | : Hartley Rogers (Jr.) |
Publisher | : |
Total Pages | : 482 |
Release | : 1967 |
Genre | : |
ISBN | : |
Download Theory of Recursive Functions and Effective Computability Book in PDF, ePub and Kindle
Author | : Robert I. Soare |
Publisher | : Springer |
Total Pages | : 289 |
Release | : 2016-06-20 |
Genre | : Computers |
ISBN | : 3642319335 |
Download Turing Computability Book in PDF, ePub and Kindle
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 and to computability theory, the study of what machines can and cannot compute. This book presents classical computability theory from Turing and Post to current results and methods, and their use in studying the information content of algebraic structures, models, and their relation to Peano arithmetic. The author presents the subject as an art to be practiced, and an art in the aesthetic sense of inherent beauty which all mathematicians recognize in their subject. Part I gives a thorough development of the foundations of computability, from the definition of Turing machines up to finite injury priority arguments. Key topics include relative computability, and computably enumerable sets, those which can be effectively listed but not necessarily effectively decided, such as the theorems of Peano arithmetic. Part II includes the study of computably open and closed sets of reals and basis and nonbasis theorems for effectively closed sets. Part III covers minimal Turing degrees. Part IV is an introduction to games and their use in proving theorems. Finally, Part V offers a short history of computability theory. The author has honed the content over decades according to feedback from students, lecturers, and researchers around the world. Most chapters include exercises, and the material is carefully structured according to importance and difficulty. The book is suitable for advanced undergraduate and graduate students in computer science and mathematics and researchers engaged with computability and mathematical logic.