On Preservation under Homomorphisms and Unions of Conjunctive Queries
Summary: Shows that first-order formulas preserved under homomorphisms on finite structures are equivalent to existential-positive (i.e., unions of conjunctive) formulas for many natural classes. Specifically proves the finite homomorphism-preservation theorem for classes of bounded degree, bounded treewidth, and more generally classes whose cores exclude some minor. (summarized by gpt-5-mini on Feb 09 2026)
Incoming Non-self Citations Over Time
Authors
- 1. Albert Atserias
- 2. Anuj Dawar
- 3. Phokion G. Kolaitis
Incoming Citations (Sorted by Pagerank)
Showing 5 of 5 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 2,565 | Explaining Missing Answers to SPJUA Queries | 2010 | VLDB | 8.5307653e-05 |
| 5,508 | Incomplete Data: What Went Wrong, and How to Fix It | 2014 | PODS | 5.4706858e-05 |
| 6,857 | When is Naive Evaluation Possible? | 2013 | PODS | 4.9013761e-05 |
| 10,355 | Circuit Bounds for Conjunctive Queries with Self-joins | 2025 | PODS | 4.1905499e-05 |
| 11,335 | LACE: A Logical Approach to Collective Entity Resolution | 2022 | PODS | 4.1905499e-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 |
|---|---|---|---|---|
| 401 | Conjunctive-Query Containment and Constraint Satisfaction | 1998 | PODS | 0.00024281448 |
| 493 | Data Exchange: Getting to the Core | 2003 | PODS | 0.00021782199 |
| 1,122 | Bottom-Up Beats Top-Down For Datalog | 1989 | PODS | 0.00013837099 |
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Semantically Similar Papers
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|---|---|---|---|---|
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| 6,380 | Finite Queries do not Have Effective Syntax | 1995 | PODS | 5.0841675e-05 |
| 401 | Conjunctive-Query Containment and Constraint Satisfaction | 1998 | PODS | 0.00024281448 |
| 6,272 | Classification of Annotation Semirings over Query Containment | 2012 | PODS | 5.1271971e-05 |
| 11,160 | Extremal Fitting Problems for Conjunctive Queries | 2023 | PODS | 4.1905499e-05 |
| 4,376 | Safe Constraint Queries | 1998 | PODS | 6.233754e-05 |
| 3,005 | Counting Answers to Existential Positive Queries: A Complexity Classification | 2016 | PODS | 7.7315492e-05 |
| 1,648 | Finitely Representable Databases | 1994 | PODS | 0.00011007456 |
| 11,642 | Testability of Homomorphism Inadmissibility: Property Testing Meets Database Theory | 2019 | PODS | 4.1905499e-05 |