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Counting Problems over Incomplete Databases

Summary: Dichotomy for self-join-free CQs: classify poly-time vs #P-hard for two counting tasks over finite-domain incomplete DBs—counting completions vs counting valuations of labeled nulls. Counting completions is typically much harder (sometimes beyond #P and inapproximable); counting valuations lies in #P and admits an FPRAS; Codd-tables and equal-null domains lower complexity. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID
1819
Venue
PODS
Year
2020
Pagerank
5.3829678e-05
Overall Rank
8,699 | 40.32%
DOI
10.1145/3375395.3387656

Incoming Non-self Citations Over Time

Authors

BibTeX Citation

@inproceedings{arenas_pods20,
        address = {New York, NY, USA},
        series = {{PODS} '20},
        title = {{Counting Problems over Incomplete Databases}},
        url = {https://dl.acm.org/doi/10.1145/3375395.3387656},
        doi = {10.1145/3375395.3387656},
        booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
        publisher = {Association for Computing Machinery},
        author = {Arenas, Marcelo and Barceló, Pablo and Monet, Mikaël},
        year = {2020}
}

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6,741 Probabilistic Databases for All 2020 PODS 5.7866368e-05
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