Definability, Automorphisms, and Dynamic Properties of Computably Enumerable Sets

Author:

Harrington Leo,Soare Robert I.

Abstract

AbstractWe announce and explain recent results on the computably enumerable (c.e.) sets, especially their definability properties (as sets in the spirit of Cantor), their automorphisms (in the spirit of Felix Klein's Erlanger Programm), their dynamic properties, expressed in terms of how quickly elements enter them relative to elements entering other sets, and the Martin Invariance Conjecture on their Turing degrees, i.e., their information content with respect to relative computability (Turing reducibility).

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference13 articles.

1. [4] Harrington L. and Soare R. I. , Codable sets and orbits of computably enumerable sets, Journal of Symbolic Logic , to appear.

2. [13] Soare R. I. , Computability and recursion, to appear, 1996.

3. [6] Harrington L. , Martins invariance conjecture and low sets, in preparation.

4. [7] Harrington L. , The -automorphism method and noninvariant classes of degrees, Journal of the American Mathematical Society , to appear.

5. Automorphisms of the lattice of recursively enumerable sets: promptly simple sets

Cited by 12 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Degrees of Unsolvability;Computational Logic;2014

2. On n-tardy sets;Annals of Pure and Applied Logic;2012-09

3. Computably enumerable sets and related issues;Algebra and Logic;2012-01

4. Degree invariance in the Π10classes;The Journal of Symbolic Logic;2011-12

5. Extending and interpreting Post’s programme;Annals of Pure and Applied Logic;2010-03

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3