中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
almost universal cupping and diamond embeddings

文献类型:期刊论文

作者Liu Jiang ; Wu Guohua
刊名ANNALS OF PURE AND APPLIED LOGIC
出版日期2012
卷号163期号:6页码:717-729
关键词Turing degrees Ershov hierarchy Diamond embeddings Almost universal cupping property
ISSN号0168-0072
中文摘要In this paper, we study the cupping property in the d.r.e. degrees, and prove the existence of a d.r.e. degrees d with almost universal cupping property and nonzero r.e. degrees b < d and a such that b isolates d in the d.r.e. degrees, and b and a form a minimal pair. As a corollary, we have that for any nonzero r.e. degree c <= a and incomplete d.r.e. degree e >= d, 0, c, e and 0' form a diamond embedding in the d.r.e. degrees. (c) 2011 Elsevier B.V. All rights reserved.
英文摘要In this paper, we study the cupping property in the d.r.e. degrees, and prove the existence of a d.r.e. degrees d with almost universal cupping property and nonzero r.e. degrees b < d and a such that b isolates d in the d.r.e. degrees, and b and a form a minimal pair. As a corollary, we have that for any nonzero r.e. degree c <= a and incomplete d.r.e. degree e >= d, 0, c, e and 0' form a diamond embedding in the d.r.e. degrees. (c) 2011 Elsevier B.V. All rights reserved.
学科主题Mathematics ; Science & Technology - Other Topics
收录类别SCI
资助信息AcRF RG37/09, M52110101; MOE of Singapore ARC17/11, M45110030; NSFC-90718041; NSFC-60736017; NSFC-60970031; YIGH-405070
语种英语
WOS记录号WOS:000301611300008
公开日期2013-09-17
源URL[http://ir.iscas.ac.cn/handle/311060/15078]  
专题软件研究所_软件所图书馆_期刊论文
推荐引用方式
GB/T 7714
Liu Jiang,Wu Guohua. almost universal cupping and diamond embeddings[J]. ANNALS OF PURE AND APPLIED LOGIC,2012,163(6):717-729.
APA Liu Jiang,&Wu Guohua.(2012).almost universal cupping and diamond embeddings.ANNALS OF PURE AND APPLIED LOGIC,163(6),717-729.
MLA Liu Jiang,et al."almost universal cupping and diamond embeddings".ANNALS OF PURE AND APPLIED LOGIC 163.6(2012):717-729.

入库方式: OAI收割

来源:软件研究所

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