Generalized Recursion Theory


Generalized Recursion Theory
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Fundamentals Of Generalized Recursion Theory


Fundamentals Of Generalized Recursion Theory
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Author : Melvin Fitting
language : en
Publisher: Elsevier
Release Date : 1981

Fundamentals Of Generalized Recursion Theory written by Melvin Fitting and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Recursion theory categories.


Provability, Computability and Reflection.



Generalized Recursion Theory


Generalized Recursion Theory
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Author : Jens Erik Fenstad
language : en
Publisher:
Release Date : 1972

Generalized Recursion Theory written by Jens Erik Fenstad and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Recursive functions categories.




Fundamentals Of Generalized Recursion Theory


Fundamentals Of Generalized Recursion Theory
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Author : M. Fitting
language : en
Publisher: Elsevier
Release Date : 2011-08-18

Fundamentals Of Generalized Recursion Theory written by M. Fitting and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-18 with Mathematics categories.


Fundamentals of Generalized Recursion Theory



General Recursion Theory


General Recursion Theory
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Author : Jens E. Fenstad
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-02

General Recursion Theory written by Jens E. Fenstad 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 volume presents a unified and coherent account of the many and various parts of general recursion theory.



Generalized Recursion Theory


Generalized Recursion Theory
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Author : Jens Erik Fenstad
language : en
Publisher:
Release Date : 1974

Generalized Recursion Theory written by Jens Erik Fenstad and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Recursion theorys categories.




Recursion Theory


Recursion Theory
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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.



Recursion Theory Week


Recursion Theory Week
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Author : Klaus Ambos-Spies
language : en
Publisher: Springer
Release Date : 2006-11-14

Recursion Theory Week written by Klaus Ambos-Spies and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.


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.



Computability Theory


Computability Theory
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Author : Herbert B. Enderton
language : en
Publisher: Academic Press
Release Date : 2010-12-30

Computability Theory written by Herbert B. Enderton and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-30 with Computers categories.


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



Recursion Theory Week


Recursion Theory Week
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Author : Heinz-Dieter Ebbinghaus
language : en
Publisher: Lecture Notes in Mathematics
Release Date : 1985-08

Recursion Theory Week written by Heinz-Dieter Ebbinghaus and has been published by Lecture Notes in Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-08 with Mathematics categories.


Annotation 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.



Recursion Theoretic Hierarchies


Recursion Theoretic Hierarchies
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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.