Differential Constraints
Summary: Define differential constraints—finite-difference equations on functions 2^U→R; characterize implication via lattice decompositions, give a sound and complete inference system, and prove coNP-completeness. Apply to concise frequent-itemset representations (disjunctive rules) and connect to positive boolean dependencies in relational DBs. (summarized by gpt-5-mini on Feb 09 2026)
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Authors
- 1. Bassem Sayrafi (Indiana University)
- 2. Dirk Van Gucht (Indiana University)
BibTeX Citation
@inproceedings{sayrafi_pods05,
address = {New York, NY, USA},
series = {{PODS} '05},
title = {{Differential Constraints}},
url = {https://dl.acm.org/doi/10.1145/1065167.1065213},
doi = {10.1145/1065167.1065213},
booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
publisher = {Association for Computing Machinery},
author = {Sayrafi, Bassem and Van Gucht, Dirk},
year = {2005}
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Outgoing Citations (Sorted by Pagerank)
Showing 6 of 6 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 29 | Fast Algorithms for Mining Association Rules | 1994 | VLDB | 0.0005121339 |
| 1,710 | A Normal Form for XML Documents | 2002 | PODS | 9.8199787e-05 |
| 3,190 | Information Dependencies | 2000 | PODS | 7.5524237e-05 |
| 8,718 | Computational Complexity of Itemset Frequency Satisfiability | 2004 | PODS | 5.2905577e-05 |
| 8,719 | Multi-valued Dependencies in the Presence of Lists | 2004 | PODS | 5.2905577e-05 |
| 8,724 | A Condensed Representation to Find Frequent Patterns | 2001 | PODS | 5.2905577e-05 |
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