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Recursion Theory for Metamathematics

1993-01-28 Mathematics
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Release : 1993-01-28
Genre : Mathematics
Kind : eBook
Book Rating : 812/5 ( reviews)

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Book Synopsis Recursion Theory for Metamathematics by : Raymond M. Smullyan

Download or read book Recursion Theory for Metamathematics written by Raymond M. Smullyan. This book was released on 1993-01-28. Available in PDF, EPUB and Kindle. Book excerpt: This work is a sequel to the author's Gödel's Incompleteness Theorems, though it can be read independently by anyone familiar with Gödel'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.

Theory of Recursive Functions and Effective Computability

1967
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Release : 1967
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Theory of Recursive Functions and Effective Computability by : Hartley Rogers (Jr.)

Download or read book Theory of Recursive Functions and Effective Computability written by Hartley Rogers (Jr.). This book was released on 1967. Available in PDF, EPUB and Kindle. Book excerpt:

Recursion Theory

2015-08-17 Mathematics
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Release : 2015-08-17
Genre : Mathematics
Kind : eBook
Book Rating : 29X/5 ( reviews)

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Book Synopsis Recursion Theory by : Chi Tat Chong

Download or read book Recursion Theory written by Chi Tat Chong. This book was released on 2015-08-17. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computability Theory

2010-12-30 Mathematics
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Release : 2010-12-30
Genre : Mathematics
Kind : eBook
Book Rating : 594/5 ( reviews)

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Book Synopsis Computability Theory by : Herbert B. Enderton

Download or read book Computability Theory written by Herbert B. Enderton. This book was released on 2010-12-30. Available in PDF, EPUB and Kindle. Book excerpt: 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

Higher Recursion Theory

2017-03-02 Computers
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Release : 2017-03-02
Genre : Computers
Kind : eBook
Book Rating : 430/5 ( reviews)

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Book Synopsis Higher Recursion Theory by : Gerald E. Sacks

Download or read book Higher Recursion Theory written by Gerald E. Sacks. This book was released on 2017-03-02. Available in PDF, EPUB and Kindle. Book excerpt: This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.

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