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Classical recursion theory : the theory of functions and sets of natural numbers /

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 app...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Odifreddi, Piergiorgio, 1950-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; New York : Elsevier, 1992.
Colección:Studies in logic and the foundations of mathematics ; v. 125.
Temas:
Acceso en línea:Texto completo
Texto completo
Texto completo

MARC

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490 1 |a Studies in logic and the foundations of mathematics ;  |v v. 125 
520 |a 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�odel's theorems) and to computer science, for which Recursion Theory provides the theoretical foundation. 
500 |a "First edition 1989"--Title page verso 
504 |a Includes bibliographical references and indexes. 
588 0 |a Print version record. 
505 0 |a Front Cover; Classical Recursion Theory: The Theory of Functions and Sets of Natural Numbers; Copyright Page; Foreword; Preface; Preface to the Second Edition; Contents; Introduction; Chapter I. Recursiveness and Computability; Chapter II. Basic Recursion Theory; Chapter III. Post's Problem and Strong Reducibilities; Chapter IV. Hierarchies and Weak Reducibilities; Chapter V. Turing Degrees; Chapter VI. Many-One and Other Degrees; Bibliography; Notation Index; Subject Index. 
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