Computational prospects of infinity

著者

• Workshop on Computational Prospects of Infinity
• Chong, Chi-Tat

書誌事項

Computational prospects of infinity

editors, Chitat Chong ... [et al.]

（Lecture notes series, Institute for Mathematical Sciences, National University of Singapore, v.14-v.15）

World Scientific, c2008

• pt. 1 : Tutorials
• pt. 2 : Presented talks

注記

"The Workshop on Computational Prospects of Infinity was held at the Institute for Mathematical Sciences, National University of Singapore, from 20 June to 15 August 2005."--Pref

Includes bibliographical references

内容説明・目次

内容説明

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 In his presentation, W Hugh Woodin gives an outline of an expanded version (unpublished) on suitable extender sequences, a subject that was developed in the attempt to understand inner model theory for large cardinals beyond the level of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.

目次

• Five Lectures on Algorithmic Randomness (R Downey)
• Global Properties of the Turing Degrees and the Turing Jump (T A Slaman)
• Derived Models Associated to Mice (J R Steel)
• Tutorial Outline: Suitable Extender Sequences (W H Woodin).

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA86909058
• ISBN:
  • 9789812796530
  • 9789812796547
• 出版国コード: si
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Singapore
• ページ数/冊数: 2 v.
• 大きさ: 24 cm
• 件名:
  • LCSH : Recursion theory -- Congresses
  • LCSH : Set theory -- Congresses
  • LCSH : Infinite -- Congresses
• 親書誌ID:
  • BA6023016X