ENGLISH

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

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

Book information

Publisher
World Scientific Publishing Company
Year
2014
ISBN
9814612618, 9789814612616
Language
english
Format
PDF
Filesize
2 MB (1837816 bytes)
Series
Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore
Pages
225\231
Scanned
yes
Time added
2014-12-20 23:08:23

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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