Techniques Of Admissible Recursion Theory
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Techniques Of Admissible Recursion Theory
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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.
Techniques Of Admissible Recursion Theory
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Author :
language : en
Publisher:
Release Date : 1984
Techniques Of Admissible Recursion Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.
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.
Higher Recursion Theory
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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 And Computational Complexity
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Author : G. Lolli
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-17
Recursion Theory And Computational Complexity written by G. Lolli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-17 with Mathematics categories.
S. Homer: Admissible recursion theory.- B.E. Jacobs: Computational complexity and recursion theory.- D. Normann: A survey of set recursion.- G.E. Sacks: Priority arguments in Higgler recursion.- R.I. Soare: Construction in the recursively enumerable degrees.- W. Maass: Recursively invariant recursion theory.
The Role Of True Finiteness In The Admissible Recursively Enumerable Degrees
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Author : Noam Greenberg
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
The Role Of True Finiteness In The Admissible Recursively Enumerable Degrees written by Noam Greenberg and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Finite, The categories.
When attempting to generalize recursion theory to admissible ordinals, it may seem as if all classical priority constructions can be lifted to any admissible ordinal satisfying a sufficiently strong fragment of the replacement scheme. We show, however, that this is not always the case. In fact, there are some constructions which make an essential use of the notion of finiteness which cannot be replaced by the generalized notion of $\alpha$-finiteness. As examples we discuss bothcodings of models of arithmetic into the recursively enumerable degrees, and non-distributive lattice embeddings into these degrees. We show that if an admissible ordinal $\alpha$ is effectively close to $\omega$ (where this closeness can be measured by size or by cofinality) then such constructions maybe performed in the $\alpha$-r.e. degrees, but otherwise they fail. The results of these constructions can be expressed in the first-order language of partially ordered sets, and so these results also show that there are natu
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.
Computability Theory And Foundations Of Mathematics Proceedings Of The 9th International Conference On Computability Theory And Foundations Of Mathematics
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Author : Ningning Peng
language : en
Publisher: World Scientific
Release Date : 2022-05-18
Computability Theory And Foundations Of Mathematics Proceedings Of The 9th International Conference On Computability Theory And Foundations Of Mathematics written by Ningning Peng and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-18 with Mathematics categories.
This volume features the latest scientific developments in the fields of computability theory and logical foundations of mathematics as well as applications. The scope involves the topics of Computability Theory, Reverse Mathematics, Nonstandard Analysis, Proof Theory, Set Theory, Philosophy of Mathematics, Constructive Mathematics, Theory of Randomness and Computational Complexity Theory.
Handbook Of Computability Theory
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Author : E.R. Griffor
language : en
Publisher: Elsevier
Release Date : 1999-10-01
Handbook Of Computability Theory written by E.R. Griffor and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-01 with Mathematics categories.
The chapters of this volume all have their own level of presentation. The topics have been chosen based on the active research interest associated with them. Since the interest in some topics is older than that in others, some presentations contain fundamental definitions and basic results while others relate very little of the elementary theory behind them and aim directly toward an exposition of advanced results. Presentations of the latter sort are in some cases restricted to a short survey of recent results (due to the complexity of the methods and proofs themselves). Hence the variation in level of presentation from chapter to chapter only reflects the conceptual situation itself. One example of this is the collective efforts to develop an acceptable theory of computation on the real numbers. The last two decades has seen at least two new definitions of effective operations on the real numbers.
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.