The paper describes several applications of information inequalities to problems in database theory. The problems discussed include: upper bounds of a query's output, worst-case optimal join algorithms, the query domination problem, and the implication problem for approximate integrity constraints. The paper is self-contained: all required concepts and results from information inequalities are introduced here, gradually, and motivated by database problems.
翻译:本文阐述了信息不等式在数据库理论若干问题中的应用。所讨论的问题包括:查询输出的上界、最坏情况最优连接算法、查询支配问题,以及近似完整性约束的蕴含问题。本文自成体系:所有必需的信息不等式概念与结论均在此逐步引入,并以数据库问题作为动机展开阐述。