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Computational Complexity of Itemset Frequency Satisfiability

Summary: FREQSAT: given interval constraints on itemset frequencies, decide existence of a transaction database realizing them; FREQSAT ≡ Probabilistic SAT and NP‑complete. Frequencies not finitely axiomatizable; conditional frequencies/confidence expressible; bounded-duplication variants are PP‑hard, with consequences for mining and privacy. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID
1316
Venue
PODS
Year
2004
Pagerank
5.4119882e-05
Overall Rank
8,551 | 41.34%
DOI
10.1145/1055558.1055580

Incoming Non-self Citations Over Time

Authors

BibTeX Citation

@inproceedings{calders_pods04,
        address = {New York, NY, USA},
        series = {{PODS} '04},
        title = {{Computational Complexity of Itemset Frequency Satisfiability}},
        url = {https://dl.acm.org/doi/10.1145/1055558.1055580},
        doi = {10.1145/1055558.1055580},
        booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
        publisher = {Association for Computing Machinery},
        author = {Calders, Toon},
        year = {2004}
}

Incoming Citations (Sorted by Pagerank)

Showing 1 of 1 citing papers.

Rank Citing Paper Year Venue Pagerank
12,726 Differential Constraints 2005 PODS 5.093636e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 3 of 3 cited papers.

Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.

Rank Cited Paper Year Venue Pagerank
13 Mining Association Rules between Sets of Items in Large Databases 1993 SIGMOD 0.0006567919
70 Privacy-Preserving Data Mining 2000 SIGMOD 0.0003804755
886 Efficiently Mining Long Patterns from Databases 1998 SIGMOD 0.0001340645
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