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)
Incoming Non-self Citations Over Time
Authors
- 1. Marco Console
- 2. Matthias Hofer
- 3. Leonid Libkin
Incoming Citations (Sorted by Pagerank)
Showing 3 of 3 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 7,939 | Tuple-Independent Representations of Infinite Probabilistic Databases | 2021 | PODS | 4.613363e-05 |
| 8,803 | Coping with Incomplete Data: Recent Advances | 2020 | PODS | 4.4470842e-05 |
| 11,161 | Querying Incomplete Numerical Data: Between Certain and Possible Answers | 2023 | PODS | 4.1945683e-05 |
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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 |
|---|---|---|---|---|
| 48 | Data Integration: A Theoretical Perspective | 2002 | PODS | 0.00069720859 |
| 297 | Complexity of Answering Queries Using Materialized Views | 1998 | PODS | 0.00028596715 |
| 4,759 | On Relational Algebra With Marked Nulls | 1984 | PODS | 5.9416104e-05 |
| 5,471 | Answering Queries Using Views with Arithmetic Comparisons | 2002 | PODS | 5.4888202e-05 |
| 5,897 | Answering Aggregate Queries in Data Exchange | 2008 | PODS | 5.2842198e-05 |
| 6,147 | Probabilistic Databases with an Infinite Open-World Assumption | 2019 | PODS | 5.1854833e-05 |
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Semantically Similar Papers
| Overall Rank | Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 8,851 | Efficient Approximations of Conjunctive Queries | 2012 | PODS | 4.4363908e-05 |
| 7,560 | Complete Approximations of Incomplete Queries | 2013 | VLDB | 4.7102455e-05 |
| 4,806 | Uncertainty Annotated Databases - A Lightweight Approach for Approximating Certain Answers | 2019 | SIGMOD | 5.9092698e-05 |
| 571 | The Complexity of Query Reliability | 1998 | PODS | 0.00019910719 |
| 2,327 | Obtaining Complete Answers from Incomplete Databases | 1996 | VLDB | 9.0276061e-05 |
| 6,273 | Identifying the Extent of Completeness of Query Answers over Partially Complete Databases | 2015 | SIGMOD | 5.1323078e-05 |
| 12,209 | Completeness of Queries over Incomplete Databases | 2011 | VLDB | 4.1945683e-05 |
| 7,941 | Efficient Uncertainty Tracking for Complex Queries with Attribute-level Bounds | 2021 | SIGMOD | 4.613363e-05 |
| 8,803 | Coping with Incomplete Data: Recent Advances | 2020 | PODS | 4.4470842e-05 |
| 11,161 | Querying Incomplete Numerical Data: Between Certain and Possible Answers | 2023 | PODS | 4.1945683e-05 |