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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