Uniform reliability (counting satisfying subsets) for self-join-free conjunctive queries is #P-complete for every non-hierarchical query and polynomial-time for every hierarchical query.
The dichotomy of probabilistic inference for unions of conjunctive queries https://homes.cs.washington.edu/ suciu/jacm-dichotomy.pdf
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Uniform Reliability of Self-Join-Free Conjunctive Queries
Uniform reliability (counting satisfying subsets) for self-join-free conjunctive queries is #P-complete for every non-hierarchical query and polynomial-time for every hierarchical query.