Institute of Computing Technology, Chinese Academy IR
The contiguity in R/M | |
Zhang, ZY; Sui, YF | |
2002-07-01 | |
发表期刊 | JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY |
ISSN | 1000-9000 |
卷号 | 17期号:4页码:507-511 |
摘要 | An r.e. degree c is contiguous if deg(wtt)(A) = deg(wtt)(B) for any r.e. sets A, B E c. In this paper, we generalize the notation of contiguity to the structure R/M, the upper semilattice of the r.e. degree set R modulo the cappable r.e. degree set M. An element [c] is an element of R/M is contiguous if [deg(wtt)(A)] = [deg(wtt)(B)] for any r. e. sets A, B such that deg(T)(A), deg(T)(B) is an element of [c]. It is proved in this paper that every nonzero element in R/M is not contiguous, i.e., for every element [c] is an element of R/M, if [c] not equal [o] then there exist at least two r.e. sets A, B such that deg(T)(A), deg(T)(B) is an element of [c] and [deg(wtt)(A)] not equal [deg(wtt)(B)]. |
关键词 | Turing degree recursively enumerable set contiguous |
收录类别 | SCI |
语种 | 英语 |
WOS研究方向 | Computer Science |
WOS类目 | Computer Science, Hardware & Architecture ; Computer Science, Software Engineering |
WOS记录号 | WOS:000176990100015 |
出版者 | SCIENCE CHINA PRESS |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://119.78.100.204/handle/2XEOYT63/13505 |
专题 | 中国科学院计算技术研究所期刊论文_英文 |
通讯作者 | Zhang, ZY |
作者单位 | 1.Yangzhou Univ, Dept Comp Sci, Jiangsu 225009, Peoples R China 2.Chinese Acad Sci, Inst Comp Technol, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Zhang, ZY,Sui, YF. The contiguity in R/M[J]. JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY,2002,17(4):507-511. |
APA | Zhang, ZY,&Sui, YF.(2002).The contiguity in R/M.JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY,17(4),507-511. |
MLA | Zhang, ZY,et al."The contiguity in R/M".JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY 17.4(2002):507-511. |
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