Classical Recursion Theory: The Theory of Funct, Odifreddi, Odifreddi, Hoek-,

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Características del artículo

Estado
Nuevo: Libro nuevo, sin usar y sin leer, que está en perfecto estado; incluye todas las páginas sin ...
PublishedOn
1992-02-04
Title
Classical Recursion Theory: The Theory of Functions and Sets of
Artist
Not Specified
ISBN
9780444894830
Categoría

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Product Identifiers

Publisher
Elsevier Science & Technology
ISBN-10
0444894837
ISBN-13
9780444894830
eBay Product ID (ePID)
1828474

Product Key Features

Number of Pages
660 Pages
Language
English
Publication Name
Classical Recursion Theory : the Theory of Functions and Sets of Natural Numbers
Publication Year
1992
Subject
Information Theory, Logic
Type
Textbook
Author
P. Odifreddi
Subject Area
Mathematics, Computers
Series
Studies in Logic and the Foundations of Mathematics Ser.
Format
Trade Paperback

Dimensions

Item Weight
38.4 Oz

Additional Product Features

Edition Number
2
Intended Audience
Scholarly & Professional
Reviews
G.E. Sacks, Harvard University and M.I.T. Odifreddi has written a delightful yet scholarly treatise... C. Calude An impressive presentation of classical recursion theory... highly recommended to everyone interested in recursion theory. Zentralblatt f r Mathematik A must as a reference manual for any mathematician, philosopher or theoretical computer scientist who deals with issues of computability. Mathematical Reviews An incredible wealth of information, including much that occurs for the first time in book form. Journal of Symbolic Logic, G.E. Sacks, Harvard University and M.I.T. Odifreddi has written a delightful yet scholarly treatise... C. Calude An impressive presentation of classical recursion theory... highly recommended to everyone interested in recursion theory. Zentralblatt fr Mathematik A must as a reference manual for any mathematician, philosopher or theoretical computer scientist who deals with issues of computability. Mathematical Reviews An incredible wealth of information, including much that occurs for the first time in book form. Journal of Symbolic Logic, Odifreddi has written a delightful yet scholarly treatise... G.E. Sacks, Harvard University and M.I.T. An impressive presentation of classical recursion theory... highly recommended to everyone interested in recursion theory. Zentralblatt für Mathematik C. Calude A must as a reference manual for any mathematician, philosopher or theoretical computer scientist who deals with issues of computability. Mathematical Reviews An incredible wealth of information, including much that occurs for the first time in book form. Journal of Symbolic Logic., G.E. Sacks, Harvard University and M.I.T. Odifreddi has written a delightful yet scholarly treatise... C. Calude An impressive presentation of classical recursion theory... highly recommended to everyone interested in recursion theory. Zentralblatt für Mathematik A must as a reference manual for any mathematician, philosopher or theoretical computer scientist who deals with issues of computability. Mathematical Reviews An incredible wealth of information, including much that occurs for the first time in book form. Journal of Symbolic Logic
Series Volume Number
Volume 125
Volume Number
Volume 125
Illustrated
Yes
Table Of Content
Recursiveness and Computability. Induction. Systems of Equations. Arithmetical Formal Systems. Turing Machines. Flowcharts. Functions as Rules. Arithmetization. Church's Thesis. Basic Recursion Theory. Partial Recursive Functions. Diagonalization. Partial Recursive Functionals. Effective Operations. Indices and Enumerations. Retraceable and Regressive Sets. Post's Problem and Strong Reducibilities. Post's Problem. Simple Sets and Many-One Degrees. Hypersimple Sets and Truth-Table Degrees. Hyperhypersimple Sets and Q-Degrees. A Solution to Post's Problem. Creative Sets and Completeness. Recursive Isomorphism Types. Variations of Truth-Table Reducibility. The World of Complete Sets. Formal Systems and R.E. Sets. Hierarchies and Weak Reducibilities. The Arithmetical Hierarchy. The Analytical Hierarchy. The Set-Theoretical Hierarchy. The Constructible Hierarchy. Turing Degrees. The Language of Degree Theory. The Finite Extension Method. Baire Category. The Coinfinite Extension Method. The Tree Method. Initial Segments. Global Properties. Degree Theory with Jump. Many-One and Other Degrees. Distributivity. Countable Initial Segments. Uncountable Initial Segments. Global Properties. Comparison of Degree Theories. Structure Inside Degrees. Bibliography. Index.
Synopsis
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 G del's theorems) and to computer science, for which Recursion Theory provides the theoretical foundation., 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.

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