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Applications of Information Inequalities to Database Theory Problems

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arxiv 2304.11996 v4 pith:UMBQFJUZ submitted 2023-04-24 cs.DB cs.ITmath.IT

Applications of Information Inequalities to Database Theory Problems

classification cs.DB cs.ITmath.IT
keywords problemsdatabaseinequalitiesinformationapplicationsproblemquerytheory
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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