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Author : Hartley Rogers
Publisher : National Geographic Books
Page : 0 pages
File Size : 40,5 Mb
Release : 1987-04-22
Category : Computers
ISBN : 9780262680523
(Reprint of the 1967 edition)
Author : Gerald E. Sacks
Publisher : Cambridge University Press
Page : 361 pages
File Size : 54,6 Mb
Release : 2017-03-02
Category : Mathematics
ISBN : 9781107168435
This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.
Author : Chi Tat Chong,Liang Yu
Publisher : Walter de Gruyter GmbH & Co KG
Page : 320 pages
File Size : 49,9 Mb
Release : 2015-08-17
Category : Mathematics
ISBN : 9783110381290
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 : Herbert B. Enderton
Publisher : Academic Press
Page : 193 pages
File Size : 46,9 Mb
Release : 2010-12-30
Category : Mathematics
ISBN : 9780123849595
Computability Theory: An Introduction to Recursion Theory provides a concise, comprehensive, and authoritative introduction to contemporary computability theory, techniques, and results. The basic concepts and techniques of computability theory are placed in their historical, philosophical and logical context. This presentation is characterized by an unusual breadth of coverage and the inclusion of advanced topics not to be found elsewhere in the literature at this level. The text includes both the standard material for a first course in computability and more advanced looks at degree structures, forcing, priority methods, and determinacy. The final chapter explores a variety of computability applications to mathematics and science. Computability Theory is an invaluable text, reference, and guide to the direction of current research in the field. Nowhere else will you find the techniques and results of this beautiful and basic subject brought alive in such an approachable way. Frequent historical information presented throughout More extensive motivation for each of the topics than other texts currently available Connects with topics not included in other textbooks, such as complexity theory
Author : Raymond M. Smullyan
Publisher : Oxford University Press on Demand
Page : 180 pages
File Size : 40,8 Mb
Release : 1993
Category : Social Science
ISBN : 9780195082326
This work is a sequel to the author's G�del's Incompleteness Theorems, though it can be read independently by anyone familiar with G�del's incompleteness theorem for Peano arithmetic. The book deals mainly with those aspects of recursion theory that have applications to the metamathematics of incompleteness, undecidability, and related topics. It is both an introduction to the theory and a presentation of new results in the field.
Author : P. Odifreddi
Publisher : Elsevier
Page : 667 pages
File Size : 48,8 Mb
Release : 1992-02-04
Category : Computers
ISBN : 0080886590
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 : Anil Nerode,Richard A. Shore
Publisher : American Mathematical Soc.
Page : 538 pages
File Size : 48,6 Mb
Release : 1985
Category : Mathematics
ISBN : 9780821814475
Author : Chi Tat Chong,Liang Yu
Publisher : Walter de Gruyter GmbH & Co KG
Page : 320 pages
File Size : 43,9 Mb
Release : 2015-08-17
Category : Mathematics
ISBN : 9783110275643
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 : F. R. Drake,S. S. Wainer
Publisher : Cambridge University Press
Page : 329 pages
File Size : 45,8 Mb
Release : 1980-11-13
Category : Mathematics
ISBN : 9780521235433
This book is a collection of advanced research/survey papers by eminent research workers in the Recursion theory.
Author : Heinz-Dieter Ebbinghaus,Gert H. Müller,Gerald E. Sacks
Publisher : Springer
Page : 427 pages
File Size : 52,6 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540395966
Author : Jens E. Fenstad
Publisher : Cambridge University Press
Page : 238 pages
File Size : 45,9 Mb
Release : 2017-03-02
Category : Mathematics
ISBN : 9781107168169
This volume presents a unified and coherent account of the many and various parts of general recursion theory.
Author : Joseph R. Shoenfield
Publisher : CRC Press
Page : 85 pages
File Size : 51,9 Mb
Release : 2018-04-27
Category : Mathematics
ISBN : 9781351419413
This volume, which ten years ago appeared as the first in the acclaimed series Lecture Notes in Logic, serves as an introduction to recursion theory. The fundamental concept of recursion makes the idea of computability accessible to a mathematical analysis, thus forming one of the pillars on which modern computer science rests. The clarity and focus of this text have established it as a classic instrument for teaching and self-study that prepares its readers for the study of advanced monographs and the current literature on recursion theory.
Author : M. Fitting
Publisher : Elsevier
Page : 328 pages
File Size : 43,6 Mb
Release : 2011-08-18
Category : Mathematics
ISBN : 9780080960319
Fundamentals of Generalized Recursion Theory
Author : Klaus Ambos-Spies,Gert H. Müller,Gerald E. Sacks
Publisher : Springer
Page : 398 pages
File Size : 48,7 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540471424
These proceedings contain research and survey papers from many subfields of recursion theory, with emphasis on degree theory, in particular the development of frameworks for current techniques in this field. Other topics covered include computational complexity theory, generalized recursion theory, proof theoretic questions in recursion theory, and recursive mathematics.
Author : Alexander S. Kechris,Benedikt Löwe,John R. Steel
Publisher : Cambridge University Press
Page : 552 pages
File Size : 44,9 Mb
Release : 2016-01-11
Category : Mathematics
ISBN : 9781107033405
The third in a series of four books presenting the seminal papers from the Caltech-UCLA 'Cabal Seminar'.