Non-mitotic sets

被引：3
|
作者：
Glasser, Christian [1 ]
Selman, Alan L. [2 ]
Travers, Stephen [1 ]
Zhang, Liyu [3 ]
机构：
[1] Univ Wurzburg, D-97074 Wurzburg, Germany
[2] SUNY Coll Buffalo, Dept Comp Sci & Engn, Buffalo, NY USA
[3] Univ Texas Brownsville, Dept Comp & Informat Sci, Brownsville, TX 78520 USA
来源：
THEORETICAL COMPUTER SCIENCE | 2009年 / 410卷 / 21-23期
基金：
美国国家科学基金会;
关键词：
Computational complexity; Autoreducibility; Mitoticity; NP;
D O I：
10.1016/j.tcs.2008.12.043
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We study the question of the existence of non-mitotic sets in NP. We show under various hypotheses that 1-tt-mitoticity and m-mitoticity differ on NP. T-autoreducibility and T-mitoticity differ oil NP (this contrasts the Situation in the recursion theoretic setting, where Ladner showed that autoreducibility and mitoticity coincide). 2-tt-autoreducibility does not imply weak 2-tt-mitoticity (from this it follows that autoreducibility and mitoticity are not equivalent for all reducibilities between 2-tt and T, although the notions coincide for m- and 1-tt-reducibility. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：2011 / 2023
页数：13
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