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The subset query problem is defined as:
Given a list D of size N where the entries are subsets of a universe with m elements, create a datastructure that detects for every query-set Q if there exists a set P in D so that Qis a subset of P

I was wondering what are the best known algorithms to solve this problem. I couldn't find any recent publications, just this work from 2002: Subset Queries

There it is stated, that the subset query problem is equivalent to the set containment problem as well as the partial match problem.

Any help would be appreciated.

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I am not sure if this is "state of the art" but take a look at this paper Efficient subset and superset queries.

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