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Computing Query Probability with Incidence Algebras

Summary: Applies Möbius inversion in incidence algebras to compute probabilities of unions of conjunctive queries over tuple-independent PDBs, yielding a simple PTIME algorithm for the class of “safe” queries and FP#P-hardness for all unsafe ones. Shows Möbius-based inclusion–exclusion can compute some safe queries despite unsafe subqueries and uses lattice-theoretic analysis to prove lifted-conditioning approaches are incomplete. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID
1520
Venue
PODS
Year
2010
Pagerank
7.2318581e-05
Overall Rank
3,314 | 76.95%
DOI
-

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