Nonexistence of minimal pairs in L[d]
文献类型：会议论文
| 作者 | Fang, Chengling1; Liu, Jiang2 ; Wu, Guohua3; Yamaleev, Mars M.4
|
| 出版日期 | 2015 |
| 会议日期 | June 29, 2015 - July 3, 2015 |
| 会议地点 | Bucharest, Romania |
| DOI | 10.1007/978-3-319-20028-6_18 |
| 页码 | 177-185 |
| 通讯作者 | Wu, Guohua (guohua@ntu.edu.sg) |
| 英文摘要 | For a d.c.e. set D with a d.c.e. approximation (Formula presented.), the Lachlan set of D is defined as (Formula presented.). For a d.c.e. degree d, L[d] is defined as the class of c.e. degrees of those Lachlan sets of d.c.e. sets in d. In this paper, we prove that for any proper d.c.e. degree d, no two elements in L[d] can form a minimal pair. This result gives another solution to Ishmukhametov’s problem, which asks whether for any proper d.c.e. degree d, L[d] always has a minimal element. A negative answer to this question was first given by Fang, Wu and Yamaleev in 2013. © Springer International Publishing Switzerland 2015. |
| 会议录 | 11th Conference on Computability in Europe, CiE 2015
 |
| 语种 | 英语 |
| 电子版国际标准刊号 | 16113349 |
| ISSN号 | 03029743 |
| 源URL | [http://119.78.100.138/handle/2HOD01W0/4816]  |
| 专题 | 中国科学院重庆绿色智能技术研究院 |
| 作者单位 | 1.School of Science, Chongqing Jiaotong University, Chongqing, China; 2.Chongqing Institute of Green Intelligent Technology, Chinese Academy of Sciences, Chongqing, China; 3.School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, Singapore; 4.Institute of Mathematics and Mechanics, Kazan Federal University, Kazan, Russia |
| 推荐引用方式 GB/T 7714 | Fang, Chengling,Liu, Jiang,Wu, Guohua,et al. Nonexistence of minimal pairs in L[d][C]. 见:. Bucharest, Romania. June 29, 2015 - July 3, 2015. |
入库方式： OAI收割
来源：重庆绿色智能技术研究院
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