Title: SLICING THE TRUTH: ON THE COMPUTABLE AND REVERSE MATHEMATICS OF COMBINATORIAL PRINCIPLES (Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore)
Publisher: World Scientific Publishing Company
Publication Date: 2014
Language: English
ISBN 10: 9814612618
ISBN 13: 9789814612616
Binding: Hardcover
Condition: New

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Synopsis

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.

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