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Bibliografische Details

Titel: Recursion Theory
Verlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Erscheinungsjahr: 2013
Sprache: Englisch
ISBN-10: 3540570934
ISBN-13: 9783540570936
Einband: Softcover
Zustand: Tr�s bon

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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 ...

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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 . . .

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English below. Ammareal est une librairie professionnelle sp�cialis�e dans le livre d?occasion. Nous exp�dions partout dans le monde. Nous avons plus de 250 000 ouvrages en stock dont un grand nombre de livres techniques et acad�miques. Nous reversons jusqu?� 15% du prix de vente de chaque livre � des organisations caritatives, des biblioth�ques et des associations luttant contre l?illettrisme. Ce que nous ne vendons pas nous le donnons, ce que nous ne donnons pas nous le recyclons. Ammareal is a professional bookseller speciliazed in used books. We ship worldwide. We have more than 250 000 books in stock, including a large number of technical and university-level books. We give back up to 15% of the price of each book to charities, libraries and organizations fighting in favor of literacy. What we do not sell, we give, what we do not give we recycle.

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