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Provenance Semirings

Summary: Comm. semirings unify provenance: bag, probabilistic, incomplete DBs and why‑provenance are instances and positive relational-algebra semantics factor through semiring homomorphisms. Proposes polynomial/formal‑power‑series provenance, extends to Datalog via fixed‑point semirings and gives algorithms to decide/compute finite series and monomial coefficients. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID
h5dd3a15a7e2c5fe0
Venue
PODS
Year
2007
Pagerank
0.00059660827
Overall Rank
17 | 99.89%
DOI
10.1145/1265530.1265535

Incoming Non-self Citations Over Time

Authors

BibTeX Citation

@inproceedings{green_pods07,
        address = {New York, NY, USA},
        series = {{PODS} '07},
        title = {{Provenance Semirings}},
        url = {https://dl.acm.org/doi/10.1145/1265530.1265535},
        doi = {10.1145/1265530.1265535},
        booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
        publisher = {Association for Computing Machinery},
        author = {Green, Todd J. and Karvounarakis, Grigoris and Tannen, Val},
        year = {2007}
}

Incoming Citations (Sorted by Pagerank)

Showing 50 of 183 citing papers.

Rank Citing Paper Year Venue Pagerank
208 EmptyHeaded: A Relational Engine for Graph Processing 2016 SIGMOD 0.00024929198
581 The Complexity of Causality and Responsibility for Query Answers and non-Answers 2011 VLDB 0.00016042765
624 On the Provenance of Non-Answers to Queries over Extracted Data 2008 VLDB 0.00015438077
787 Cosette: An Automated Prover for SQL 2017 CIDR 0.00013959502
811 Provenance for Aggregate Queries 2011 PODS 0.00013713646
858 Recursive Mechanism: Towards Node Differential Privacy and Unrestricted Joins 2013 SIGMOD 0.00013391977
979 Incremental Query Evaluation in a Ring of Databases 2010 PODS 0.00012697012
1,055 Tiresias: The Database Oracle for How-To Queries 2012 SIGMOD 0.0001225364
1,079 Curated Databases 2008 PODS 0.00012117197
1,367 A Unified Approach to Ranking in Probabilistic Databases 2009 VLDB 0.00010878876
1,556 Update Exchange with Mappings and Provenance 2007 VLDB 0.00010232016
1,568 AJAR: Aggregations and Joins over Annotated Relations 2016 PODS 0.00010178045
1,597 Data Markets in the Cloud: An Opportunity for the Database Community 2011 VLDB 0.00010096805
1,619 Sensitivity Analysis and Explanations for Robust Query Evaluation in Probabilistic Databases 2011 SIGMOD 0.00010044303
1,678 Axiomatic Foundations and Algorithms for Deciding Semantic Equivalences of SQL Queries 2018 VLDB 9.8966017e-05
1,776 Putting Lipstick on Pig: Enabling Database-style Workflow Provenance 2012 VLDB 9.6661217e-05
1,795 Approximate Lineage for Probabilistic Databases 2008 VLDB 9.6147575e-05
1,822 ProvSQL: Provenance and Probability Management in PostgreSQL 2018 VLDB 9.5464187e-05
1,837 Querying Data Provenance 2010 SIGMOD 9.5210079e-05
1,838 CHORUS: Foundation Models for Unified Data Discovery and Exploration 2024 VLDB 9.5195856e-05
1,858 Data Market Platforms: Trading Data Assets to Solve Data Problems 2020 VLDB 9.4779185e-05
1,888 WeTune: Automatic Discovery and Verification of Query Rewrite Rules 2022 SIGMOD 9.4148912e-05
1,953 Caravan: Provisioning for What-If Analysis 2013 CIDR 9.297314e-05
2,015 Orchestra: Facilitating Collaborative Data Sharing 2007 SIGMOD 9.1743528e-05
2,234 Computing the Shapley Value of Facts in Query Answering 2022 SIGMOD 8.7839031e-05
2,298 FDB: A Query Engine for Factorised Relational Databases 2012 VLDB 8.6645337e-05
2,427 The Semiring Framework for Database Provenance 2017 PODS 8.4673732e-05
2,459 Tracing Data Errors with View-Conditioned Causality 2011 SIGMOD 8.4137923e-05
2,473 Complaint-driven Training Data Debugging for Query 2.0 2020 SIGMOD 8.3984284e-05
2,492 Query-Oriented Data Cleaning with Oracles 2015 SIGMOD 8.3722864e-05
2,638 Convergence of Datalog over (Pre-) Semirings 2022 PODS 8.1763678e-05
2,685 Data X-Ray: A Diagnostic Tool for Data Errors 2015 SIGMOD 8.116387e-05
2,962 Reverse Data Management 2011 VLDB 7.7949147e-05
3,100 Learning to Create Data-Integrating Queries 2008 VLDB 7.6312005e-05
3,122 Incremental View Maintenance with Triple Lock Factorization Benefits 2018 SIGMOD 7.6091671e-05
3,194 Demonstration of the Cosette Automated SQL Prover 2017 SIGMOD 7.5310063e-05
3,223 How Large Language Models Will Disrupt Data Management 2023 VLDB 7.5043163e-05
3,373 Efficient Querying and Maintenance of Network Provenance at Internet-Scale 2010 SIGMOD 7.348575e-05
3,444 Complete Yet Practical Search for Minimal Query Reformulations Under Constraints 2014 SIGMOD 7.277762e-05
3,553 Consensus Answers for Queries over Probabilistic Databases 2009 PODS 7.188315e-05
3,684 DBSP: Automatic Incremental View Maintenance for Rich Query Languages 2023 VLDB 7.0834345e-05
4,011 Guaranteeing the O~(AGM/OUT) Runtime for Uniform Sampling and Size Estimation over Joins 2023 PODS 6.842581e-05
4,020 From Shapley Value to Model Counting and Back 2024 PODS 6.8347969e-05
4,085 The Complexity of Resilience and Responsibility for Self-Join-Free Conjunctive Queries 2016 VLDB 6.7989526e-05
4,196 Aggregation in Probabilistic Databases via Knowledge Compilation 2012 VLDB 6.7317801e-05
4,203 PrIU: A Provenance-Based Approach for Incrementally Updating Regression Models 2020 SIGMOD 6.7255278e-05
4,347 Query Refinement for Diversity Constraint Satisfaction 2024 VLDB 6.6380671e-05
4,354 LIMA: Fine-grained Lineage Tracing and Reuse in Machine Learning Systems 2021 SIGMOD 6.6318545e-05
4,487 Instance and Output Optimal Parallel Algorithms for Acyclic Joins 2019 PODS 6.5628751e-05
4,505 SPORES: Sum-Product Optimization via Relational Equality Saturation for Large Scale Linear Algebra 2020 VLDB 6.5561966e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 5 of 5 cited papers.

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

Rank Cited Paper Year Venue Pagerank
51 Efficient Query Evaluation on Probabilistic Databases 2004 VLDB 0.00042804864
85 ULDBs: Databases with Uncertainty and Lineage 2006 VLDB 0.00035848027
391 Conjunctive-Query Containment and Constraint Satisfaction 1998 PODS 0.0001918714
533 The Magic of Duplicates and Aggregates 1990 VLDB 0.00016794756
846 Debugging Schema Mappings with Routes 2006 VLDB 0.00013486084
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