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Tractability Frontiers of the Shapley Value for Aggregate Conjunctive Queries

Summary: Identifies, per aggregation, maximal classes of hierarchical CQs where computing the Shapley value is polynomial-time for every local value function, and proves #P-hardness outside those classes. Maps max/min/count-distinct→all-hierarchical, average/quantile→q-hierarchical, and defines a stricter “has-duplicates” hierarchy. (summarized by gpt-5-mini on Feb 11 2026)

Paper ID
1999
Venue
PODS
Year
2026
Pagerank
4.1945683e-05
Overall Rank
10,010 | 30.37%
DOI
10.1145/3767720

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Showing 21 of 21 cited papers.

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

Rank Cited Paper Year Venue Pagerank
74 Efficient Query Evaluation on Probabilistic Databases 2004 VLDB 0.00057857292
571 The Complexity of Query Reliability 1998 PODS 0.00019910719
772 Answering Conjunctive Queries under Updates 2017 PODS 0.00016876498
1,056 The Dynamic Yannakakis Algorithm: Compact and Efficient Query Processing Under Updates 2017 SIGMOD 0.0001441128
1,119 The Complexity of Causality and Responsibility for Query Answers and non-Answers 2011 VLDB 0.0001386199
2,402 Causality and Explanations in Databases 2014 VLDB 8.8928361e-05
2,868 Computing the Shapley Value of Facts in Query Answering 2022 SIGMOD 7.9816425e-05
3,027 The Impact of Negation on the Complexity of the Shapley Value in Conjunctive Queries 2020 PODS 7.6842412e-05
4,591 From Shapley Value to Model Counting and Back 2024 PODS 6.0619399e-05
4,706 Aggregation in Probabilistic Databases via Knowledge Compilation 2012 VLDB 5.9820914e-05
4,872 Explainable AI: Foundations, Applications, Opportunities for Data Management Research 2022 SIGMOD 5.8609352e-05
5,897 Answering Aggregate Queries in Data Exchange 2008 PODS 5.2842198e-05
5,916 Banzhaf Values for Facts in Query Answering 2024 SIGMOD 5.273953e-05
5,959 Expected Shapley-Like Scores of Boolean Functions: Complexity and Applications to Probabilistic Databases 2024 PODS 5.2562342e-05
5,967 Change Propagation Without Joins 2023 VLDB 5.250976e-05
6,055 When is Shapley Value Computation a Matter of Counting? 2024 PODS 5.2324399e-05
6,112 A Dichotomy in the Complexity of Consistent Query Answering for Two Atom Queries With Self-Join 2024 PODS 5.2048658e-05
6,728 Conjunctive Queries With Self-Joins, Towards a Fine-Grained Enumeration Complexity Analysis 2023 PODS 4.9483326e-05
8,665 Advancing Fact Attribution for Query Answering: Aggregate Queries and Novel Algorithms 2025 VLDB 4.471975e-05
9,640 Shapley Revisited: Tractable Responsibility Measures for Query Answers 2025 PODS 4.3109001e-05
9,653 Probabilistic Databases under Updates: Boolean Query Evaluation and Ranked Enumeration 2021 PODS 4.3109001e-05
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