General Recursion Theory - Jens E. Fenstad

General Recursion Theory

An Axiomatic Approach

(Autor)

Buch | Hardcover
237 Seiten
2017
Cambridge University Press (Verlag)
978-1-107-16816-9 (ISBN)
138,40 inkl. MwSt
This volume presents a unified and coherent account of general recursion theory. The main core of the book gives an account of the general theory of computations, then the author moves on to show how computation theories connect and unify other parts of recursion theory.
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the tenth publication in the Perspectives in Logic series, Jens E. Fenstad takes an axiomatic approach to present a unified and coherent account of the many and various parts of general recursion theory. The main core of the book gives an account of the general theory of computations. The author then moves on to show how computation theories connect with and unify other parts of general recursion theory. Some mathematical maturity is required of the reader, who is assumed to have some acquaintance with recursion theory. This book is ideal for a second course in the subject.

Jens E. Fenstad works in the Department of Mathematics at the University of Oslo.

Pons Asinorum; On the choice of correct notations for general theory; Part I. General Theory: 1. General theory: combinatorial part; 2. General theory: subcomputations; Part II. Finite Theories: 3. Finite theories on one type; 4. Finite theories on two types; Part III. Infinite Theories: 5. Admissible prewellorderings; 6. Degree structure; Part IV. Higher Types: 7. Computations over two types; 8. Set recursion and higher types; References; Notation; Author index; Subject index.

Erscheinungsdatum
Reihe/Serie Perspectives in Logic
Zusatzinfo 1 Line drawings, black and white
Verlagsort Cambridge
Sprache englisch
Maße 163 x 240 mm
Gewicht 530 g
Themenwelt Mathematik / Informatik Mathematik Logik / Mengenlehre
ISBN-10 1-107-16816-3 / 1107168163
ISBN-13 978-1-107-16816-9 / 9781107168169
Zustand Neuware
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