Recursion Theory - Couverture souple

Shoenfield, Joseph R.

Couverture souple

ISBN 10 : 3540570934 ISBN 13 : 9783540570936

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2013

Synopsis

These notes originated in a one semester course given several times at Duke University. Students were generally graduate students in mathematics or computer science. They were expected to have a considerable degree of mathematical maturity. While there were no specific prerequisites, it was desirable that the student has some knowledge of elementary logic and computer programming. To appreciate some of the applications, it was desirable to have at least a slight acquaintance with some other mathematical topics, such as group theory and Borel sets. My main object was to prepare the student for studying advanced books and journal articles in recursion theory. I therefore attempted to introduce as many as possible of the topics which are of interest in contemporary research without going deeply into any of them. One topic usually treated in the course which did not make its way into these notes is complexity theory; I hope that someone more competent than I will write an introduction to this topic suitable for serious mathematicians. CONTENTS 1. Computability...* 1 2. Functions and Relations * 2 .3 3. The Basic Machine . 4. Macros ...* 5 5. Closure Properties ...

A propos du livre

Présentation de l'éditeur

This volume, which ten years ago appeared as the first in the acclaimed series Lecture Notes in Logic, serves as an introduction to recursion theory. The fundamental concept of recursion makes the idea of computability accessible to a mathematical analysis, thus forming one of the pillars on which modern computer science rests. The clarity and focus of this text have established it as a classic instrument for teaching and self-study that prepares its readers for the study of advanced monographs and the current literature on recursion theory.

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 2013
• ISBN 10: 3540570934
• ISBN 13: 9783540570936
• Reliure: Broché
• Langue: anglais
• Nombre de pages: 91
• Coordonnées du fabricant: non disponible