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

页码：2011 / 2023

页数：13

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