Recursion Theoretic Hierarchies
DOWNLOAD eBooks
Download Recursion Theoretic Hierarchies PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Recursion Theoretic Hierarchies book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Recursion Theoretic Hierarchies
DOWNLOAD eBooks
Author : Peter G. Hinman
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-02
Recursion Theoretic Hierarchies written by Peter G. Hinman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-02 with Mathematics categories.
The theory set out in this book results from the meeting of descriptive set theory and recursion theory.
Recursion Theoretic Hierarchies
DOWNLOAD eBooks
Author : P. G. Hinman
language : en
Publisher: Springer
Release Date : 1978-05-01
Recursion Theoretic Hierarchies written by P. G. Hinman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-05-01 with Mathematics categories.
At a recent meeting of logicians, one speaker complained - mainly, but perhaps not wholly, in jest - that logic is tightly controlled by a small group of people (the cabal) who exercise careful control over the release of new ideas to the general public (especially students) and indeed suppress some material com pletely. The situation is surely not so grim as this, but any potential reader of this book must have felt at some time that there is at least a minor conspiracy to keep new ideas inaccessible until the "insiders" have worked them over thoroughly. In particular he might well feel this way about the whole subject of Generalized Recursion Theory, which developed in the second half of the 1960s. The basic definitions and results on recursion involving functionals of higher type appeared in the monumental but extremely difficult paper Kleene [1959] and [1963]. Gandy [1967] gave another presentation ab initio, but the planned part II of this paper, as well as several other major advances in the subject, never appeared in print. For the theory of recursion on ordinals, the situation was even worse. Much of the basic material had appeared only in the abstracts Kripke [1964, 1964a], and although certain parts of the theory had been worked out in papers such as Kreisel-Sacks [1965] and Sacks [1967], there was no reasonably complete account of the basic facts of the subject in print.
Recursion Theory
DOWNLOAD eBooks
Author : Joseph R. Shoenfield
language : en
Publisher: CRC Press
Release Date : 2018-04-27
Recursion Theory written by Joseph R. Shoenfield and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-27 with Mathematics categories.
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.
Higher Recursion Theory
DOWNLOAD eBooks
Author : Gerald E. Sacks
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-02
Higher Recursion Theory written by Gerald E. Sacks and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-02 with Mathematics categories.
This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.
Recursion Theory
DOWNLOAD eBooks
Author : Chi Tat Chong
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2015-08-17
Recursion Theory written by Chi Tat Chong and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-17 with Mathematics categories.
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.
Fundamentals Of Mathematical Logic
DOWNLOAD eBooks
Author : Peter G. Hinman
language : en
Publisher: CRC Press
Release Date : 2018-10-08
Fundamentals Of Mathematical Logic written by Peter G. Hinman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-08 with Mathematics categories.
This introductory graduate text covers modern mathematical logic from propositional, first-order and infinitary logic and Gödel's Incompleteness Theorems to extensive introductions to set theory, model theory and recursion (computability) theory. Based on the author's more than 35 years of teaching experience, the book develops students' intuition by presenting complex ideas in the simplest context for which they make sense. The book is appropriate for use as a classroom text, for self-study, and as a reference on the state of modern logic.
Subrecursion
DOWNLOAD eBooks
Author : H. E. Rose
language : en
Publisher: Oxford University Press, USA
Release Date : 1984
Subrecursion written by H. E. Rose and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with History categories.
Techniques Of Admissible Recursion Theory
DOWNLOAD eBooks
Author : C. T. Chong
language : en
Publisher: Springer
Release Date : 2006-12-08
Techniques Of Admissible Recursion Theory written by C. T. Chong and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.
Recursion Theory
DOWNLOAD eBooks
Author : Joseph R. Shoenfield
language : en
Publisher:
Release Date : 2001
Recursion Theory written by Joseph R. Shoenfield and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.
Classical Recursion Theory
DOWNLOAD eBooks
Author : Piergiorgio Odifreddi
language : en
Publisher: Elsevier Health Sciences
Release Date : 1989
Classical Recursion Theory written by Piergiorgio Odifreddi and has been published by Elsevier Health Sciences this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Computers categories.
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.