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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
1317
Venue
PODS
Year
2004
Pagerank
4.5392079e-05
Overall Rank
8,309 | 42.26%
DOI
-

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Rank Citing Paper Year Venue Pagerank
12,542 Differential Constraints 2005 PODS 4.1905499e-05
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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 0.0010863639
40 Privacy-Preserving Data Mining 2000 SIGMOD 0.00074213516
829 Efficiently Mining Long Patterns from Databases 1998 SIGMOD 0.00016137512
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