Slicing The Truth: On The Computable And Reverse Mathematics Of Combinatorial Principles by Denis R Hirschfeldt

Slicing The Truth: On The Computable And Reverse Mathematics Of Combinatorial Principles by Denis R Hirschfeldt

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Slicing The Truth: On The Computable And Reverse Mathematics Of Combinatorial Principles by Denis R Hirschfeldt

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.
SKU Unavailable
ISBN 13 9789814612616
ISBN 10 9814612618
Title Slicing The Truth: On The Computable And Reverse Mathematics Of Combinatorial Principles
Author Denis R Hirschfeldt
Series Lecture Notes Series Institute For Mathematical Sciences National University Of Singapore
Condition Unavailable
Publisher World Scientific Publishing Co Pte Ltd
Year published 2014-09-15
Number of pages 232
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable