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Slicing the Truth

On the Computable and Reverse Mathematics of Combinatorial Principles

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Book Details:

Publisher:World Scientific Publishing Company
Series: World Scientific , Principles
Author:Denis R. Hirschfeldt
Edition:1
ISBN-10:9814612618
ISBN-13:9789814612616
Pages:225
Published:Nov 22 2014
Posted:Jan 28 2015
Language:English
Book format:PDF
Book size:2.12 MB

Book Description:

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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