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About this product
Product Identifiers
PublisherWorld Industries Scientific Publishing Co Pte LTD
ISBN-109812796533
ISBN-139789812796530
eBay Product ID (ePID)65963122
Product Key Features
SubjectInfinity, Computer Science, Set Theory, Logic
Publication Year2008
LanguageEnglish
Publication NameComputational Prospects of Infinity : Tutorials
TypeTextbook
Subject AreaMathematics, Computers
AuthorQi Feng, Chitat Chong
FormatHardcover
Dimensions
Item Weight0 Oz
Additional Product Features
Number of Volumes2 vols.
Volume NumberPt. 1
IllustratedYes
SynopsisThis 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 In his presentation, W Hugh Woodin gives an outline of an expanded version (unpublished) on suitable extender sequences, a subject that was developed in the attempt to understand inner model theory for large cardinals beyond the level of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.