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c.e.的Wtt-度中的下确界
引用本文:陆宏.c.e.的Wtt-度中的下确界[J].中山大学学报论丛,2010,3(2).
作者姓名:陆宏
作者单位:南京大学数学系
摘    要:本文研究了Wtt-度区间的下确界的的存在性问题.我们先证明了Wtt-度中区间对无下确界的向上稠密性.接着我们证明了存在c.e.度a,b(b

Infimum in c.e. Weak Truth Table Degrees
Hong Lu.Infimum in c.e. Weak Truth Table Degrees[J].Supplement to the Journal of Sun Yatsen University,2010,3(2).
Authors:Hong Lu
Abstract:The paper concerns with the existence problem of infimum of intervals in the c.e. Wtt-degrees. We prove upward density of pairs of intervals without infimum in the c.e.Wtt-degrees. And we also prove that there are c.e. degrees a, b with b < a such that for any nonrecursive c.e. set X ∈ 0, b], X and A form a minimal pair in the Wtt-degrees.
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