Recursively Enumerable Sets And Degrees

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Recursively Enumerable Sets And Degrees

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Author : Robert I. Soare
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-11-01

Recursively Enumerable Sets And Degrees written by Robert I. Soare 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 1999-11-01 with Mathematics categories.

..."The book, written by one of the main researchers on the field, gives a complete account of the theory of r.e. degrees. .... The definitions, results and proofs are always clearly motivated and explained before the formal presentation; the proofs are described with remarkable clarity and conciseness. The book is highly recommended to everyone interested in logic. It also provides a useful background to computer scientists, in particular to theoretical computer scientists." Acta Scientiarum Mathematicarum, Ungarn 1988 ..."The main purpose of this book is to introduce the reader to the main results and to the intricacies of the current theory for the recurseively enumerable sets and degrees. The author has managed to give a coherent exposition of a rather complex and messy area of logic, and with this book degree-theory is far more accessible to students and logicians in other fields than it used to be." Zentralblatt für Mathematik, 623.1988

Recursively Enumerable Sets And Degerees

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Author : R.I.·索尔 (美)
language : en
Publisher:
Release Date : 1987

Recursively Enumerable Sets And Degerees written by R.I.·索尔 (美) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Computable functions categories.

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.

Turing Computability

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Author : Robert I. Soare
language : en
Publisher: Springer
Release Date : 2016-06-20

Turing Computability written by Robert I. Soare and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-20 with Computers categories.

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.

Theory Of Recursively Enumerable Sets And Degrees Of Recursive Unsolvability

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Author : C.E.M. Yates
language : en
Publisher:
Release Date : 1963

Theory Of Recursively Enumerable Sets And Degrees Of Recursive Unsolvability written by C.E.M. Yates and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with categories.

A Hierarchy Of Turing Degrees

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Author : Rod Downey
language : en
Publisher: Princeton University Press
Release Date : 2020-06-16

A Hierarchy Of Turing Degrees written by Rod Downey and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-16 with Computers categories.

[Alpha]-c.a. functions -- The hierarchy of totally [alpha]-c.a. degrees -- Maximal totally [alpha]-c.a. degrees -- Presentations of left-c.e. reals -- m-topped degrees -- Embeddings of the 1-3-1 lattice -- Prompt permissions.

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 Computers categories.

This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.

Computability

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Author : Nigel Cutland
language : en
Publisher: Cambridge University Press
Release Date : 1980-06-19

Computability written by Nigel Cutland 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 1980-06-19 with Computers categories.

What can computers do in principle? What are their inherent theoretical limitations? The theoretical framework which enables such questions to be answered has been developed over the last fifty years from the idea of a computable function - a function whose values can be calculated in an automatic way.

Topics In Recursively Enumerable Sets And Degrees

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Author : Steffen Lempp
language : en
Publisher:
Release Date : 1986

Topics In Recursively Enumerable Sets And Degrees written by Steffen Lempp and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Algorithms categories.

Recursion Theory

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Author : Anil Nerode
language : en
Publisher: American Mathematical Soc.
Release Date : 1985

Recursion Theory written by Anil Nerode 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 1985 with Mathematics categories.