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Applications of Information Inequalities to Database Theory Problems (2304.11996v4)
Published 24 Apr 2023 in cs.DB, cs.IT, and math.IT
Abstract: 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.