Slicing the Truth: On the Computable and Reverse...

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Slicing the Truth: On the Computable...

Slicing the Truth: On the Computable and Reverse Mathematics of Combinatorial Principles

Name: Slicing the Truth: On the Computable and Reverse Mathematics of Combinatorial Principles
ISBN: 9789814612616

Denis R Hirschfeldt, Chitat Chong, Qi Feng, Theodore A Slaman, W Hugh Woodin, Yue Yang

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This book is a brief and focused introduction to the reverse mathematics and computability theory of combinatorial principles, an area of research which has seen a particular surge of activity in the last few years. It provides an overview of some fundamental ideas and techniques, and enough context to make it possible for students with at least a basic knowledge of computability theory and proof theory to appreciate the exciting advances currently happening in the area, and perhaps make contributions of their own. It adopts a case-study approach, using the study of versions of Ramsey's Theorem (for colorings of tuples of natural numbers) and related principles as illustrations of various aspects of computability theoretic and reverse mathematical analysis. This book contains many exercises and open questions.

Kategorien:

Mathematics

Jahr:

2014

Verlag:

World Scientific Publishing Company

Sprache:

english

Seiten:

225

ISBN 10:

9814612618