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Queries with Arithmetic on Incomplete Databases

Summary: Proposes a certainty measure for answers to queries with arithmetic/comparisons on incomplete databases with numerical attributes, using asymptotic volumes in Euclidean space to model lack of a uniform continuous prior. Shows the measure is well-defined, proves hardness/irrationality results, and gives randomized polynomial-time approximation schemes (multiplicative for conjunctive queries, additive for arbitrary FO queries), plus empirical validation. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID
1829
Venue
PODS
Year
2020
Pagerank
5.3035385e-05
Overall Rank
9,225 | 36.71%
DOI
10.1145/3375395.3387666

Incoming Non-self Citations Over Time

Authors

BibTeX Citation

@inproceedings{console_pods20,
        address = {New York, NY, USA},
        series = {{PODS} '20},
        title = {{Queries with Arithmetic on Incomplete Databases}},
        url = {https://dl.acm.org/doi/10.1145/3375395.3387666},
        doi = {10.1145/3375395.3387666},
        booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
        publisher = {Association for Computing Machinery},
        author = {Console, Marco and Hofer, Matthias and Libkin, Leonid},
        year = {2020}
}

Incoming Citations (Sorted by Pagerank)

Showing 3 of 3 citing papers.

Rank Citing Paper Year Venue Pagerank
8,259 Tuple-Independent Representations of Infinite Probabilistic Databases 2021 PODS 5.4574671e-05
8,837 Coping with Incomplete Data: Recent Advances 2020 PODS 5.3596619e-05
11,367 Querying Incomplete Numerical Data: Between Certain and Possible Answers 2023 PODS 5.093636e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 7 of 7 cited papers.

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

Rank Cited Paper Year Venue Pagerank
22 Data Integration: A Theoretical Perspective 2002 PODS 0.00056204792
225 Complexity of Answering Queries Using Materialized Views 1998 PODS 0.00024101949
4,032 On Relational Algebra With Marked Nulls 1984 PODS 6.9453392e-05
5,245 Certain Answers Meet Zero-One Laws 2018 PODS 6.3012734e-05
5,361 Answering Queries Using Views with Arithmetic Comparisons 2002 PODS 6.2484907e-05
5,624 Answering Aggregate Queries in Data Exchange 2008 PODS 6.145135e-05
6,170 Probabilistic Databases with an Infinite Open-World Assumption 2019 PODS 5.9514805e-05
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