Sublattices of the polynomial time degrees

Q4 Mathematics
Klaus Ambos-Spies
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引用次数: 29

Abstract

We show that any countable distributive lattice can be embedded in any interval of polynomial time degrees. Furthermore the embeddings can be chosen to preserve the least or the greatest element. This holds for both polynomial time bounded many-one and Turing reducibilities, as well as for all of the common intermediate reducibilities.

多项式时间度的子格
我们证明了任何可数分配格都可以嵌入到多项式时间度的任意区间中。此外,可以选择保留最小或最大元素的嵌入。这对多项式时间有界多一可约性和图灵可约性,以及所有常见的中间可约性都成立。
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来源期刊
信息与控制
信息与控制 Mathematics-Control and Optimization
CiteScore
1.50
自引率
0.00%
发文量
4623
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