Abstract: Highlights•Conjunctive Queries (CQs) are known to be not efficiently PAC learnable. We give a self-contained exposition.•Acyclic CQs are not efficiently PAC learnable, even for very restrictive notions of acyclicity.•Conjunctive Queries (CQs), and Unions of Conjunctive Queries (UCQs), are efficiently PAC learnable with membership queries.
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