SETS AND COMPUTATIONS (Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore) - Hardcover

Sy D Friedman

Hardcover

ISBN 10: 9813223510 ISBN 13: 9789813223516

Publisher: World Scientific Publishing Company, 2017

Synopsis

The contents in this volume are based on the program Sets and Computations that was held at the Institute for Mathematical Sciences, National University of Singapore from 30 March until 30 April 2015. This special collection reports on important and recent interactions between the fields of Set Theory and Computation Theory. This includes the new research areas of computational complexity in set theory, randomness beyond the hyperarithmetic, powerful extensions of Goodstein's theorem and the capturing of large fragments of set theory via elementary-recursive structures. Further chapters are concerned with central topics within Set Theory, including cardinal characteristics, Fraïssé limits, the set-generic multiverse and the study of ideals. Also Computation Theory, which includes computable group theory and measure-theoretic aspects of Hilbert's Tenth Problem. A volume of this broad scope will appeal to a wide spectrum of researchers in mathematical logic.

Readership: Researchers and graduate students in mathematical logic, especially those interested in set theory and recursion theory.

Edition details

• Publisher: World Scientific Publishing Company
• Publication date: 2017
• Language: English
• ISBN 10: 9813223510
• ISBN 13: 9789813223516
• Binding: Hardcover
• Edition number: 1
• Number of pages: 280
• Editor: Sy D Friedman, Dilip Raghavan, Yue Yang