Slicing The Truth: On The Computable And Reverse Mathematics Of Combinatorial Principles

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Slicing The Truth: On The Computable And Reverse Mathematics Of Combinatorial Principles is written by Denis R Hirschfeldt and published by World Scientific. It's available with International Standard Book Number or ISBN identification 9814612634 (ISBN 10) and 9789814612630 (ISBN 13).

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.