Resource-bounded strong dimension versus resource-bounded category

被引：2
|
作者：
Hitchcock, JM
Pavan, A
机构：
[1] Univ Wyoming, Dept Comp Sci, Laramie, WY 82071 USA
[2] Iowa State Univ Sci & Technol, Dept Comp Sci, Ames, IA 50011 USA
来源：
INFORMATION PROCESSING LETTERS | 2005年 / 95卷 / 03期
基金：
美国国家科学基金会;
关键词：
computational complexity; resource-bounded category; resource-bounded dimension; resource-bounded measure;
D O I：
10.1016/j.ipl.2005.05.001
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Classically it is known that any set with packing dimension less than 1 is meager in the sense of Baire category. We establish a resource-bounded extension: if a class X has A-strong dimension less than 1, then X is Delta-meager. This has the applications of explaining some of Lutz's simultaneous Delta-meager, Delta-measure 0 results and providing a new proof of a Gu's strong dimension result on infinitely-often classes. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：377 / 381
页数：5
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