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Computational Prospects Of Infinity - Part I: Tutorials {purestevil}release

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Computational Prospects Of Infinity - Part I: Tutorials





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Author(s) : Chitat Chong

Publisher : World Scientific

Date       : 2008

Pages      : 264

Format    : PDF

ISBN-10  : 9812796533

ISBN-13  : 978-9812796530





This volume presents the written versions of the tutorial lectures given at the Workshop on Computational Prospects of
Infinity, held from 18 June to 15 August 2005 at the Institute for Mathematical Sciences, National University of
Singapore. It consists of articles by four of the leading experts in recursion theory (computability theory) and set
theory. The survey paper of Rod Downey provides a comprehensive introduction to algorithmic randomness, one of the most
active areas of current research in recursion theory. Theodore A Slaman's article is the first printed account of the
ground-breaking work of Slaman Woodin and Slaman Shore on the definability of the Turing jump. John Steel presents some
results on the properties of derived models of mice, and on the existence of mice with large derived models. The study
was motivated by some of the well-known Holy Grails in inner model theory, including the Mouse Set Conjecture. In his
presentation, W Hugh Woodin gives an outline of an expanded version (unpublished) on suitable extender sequences, a
subject that was developed in the attempt to understand inner model theory for large cardinals beyond the level of
superstrong cardinals. 



The volume serves as a useful guide for graduate students and researchers in recursion theory and set theory to some of
the most important and significant developments in these subjects in recent years. 

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