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

Af: Denis R Hirschfeldt Engelsk Hardback

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

Af: Denis R Hirschfeldt Engelsk Hardback
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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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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.

Produktdetaljer
Sprog: Engelsk
Sider: 232
ISBN-13: 9789814612616
Indbinding: Hardback
Udgave:
ISBN-10: 9814612618
Kategori: Matematisk logik
Udg. Dato: 15 sep 2014
Længde: 22mm
Bredde: 167mm
Højde: 240mm
Forlag: World Scientific Publishing Co Pte Ltd
Oplagsdato: 15 sep 2014
Forfatter(e): Denis R Hirschfeldt
Forfatter(e) Denis R Hirschfeldt


Kategori Matematisk logik


ISBN-13 9789814612616


Sprog Engelsk


Indbinding Hardback


Sider 232


Udgave


Længde 22mm


Bredde 167mm


Højde 240mm


Udg. Dato 15 sep 2014


Oplagsdato 15 sep 2014


Forlag World Scientific Publishing Co Pte Ltd

Kategori sammenhænge