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The contiguity in R/M
Zhang, ZY; Sui, YF
2002-07-01
发表期刊JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY
ISSN1000-9000
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
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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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