Circuits and Formulas for Datalog over Semirings
Summary: Datalog provenance polynomials over absorptive semirings; analyzes optimal circuit/formula depth and size as a function of input m. Dichotomy for several Datalog classes: polynomial-size formulas exist or not; depth Theta(log m) vs Theta(log^2 m); polynomial fringe yields O(log^2 m) circuits; semiring-boundedness characterizations. (summarized by gpt-5-nano on Feb 09 2026)
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Authors
- 1. Austen Z. Fan (University of Wisconsin)
- 2. Paraschos Koutris (University of Wisconsin)
- 3. Sudeepa Roy (Duke University)
BibTeX Citation
@inproceedings{fan_pods25,
address = {New York, NY, USA},
series = {{PODS} '25},
title = {{Circuits and Formulas for Datalog over Semirings}},
url = {https://dl.acm.org/doi/10.1145/3725230},
doi = {10.1145/3725230},
booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
publisher = {Association for Computing Machinery},
author = {Fan, Austen Z. and Koutris, Paraschos and Roy, Sudeepa},
year = {2025}
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Outgoing Citations (Sorted by Pagerank)
Showing 10 of 10 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 17 | Provenance Semirings | 2007 | PODS | 0.00059843817 |
| 348 | Regular Path Queries with Constraints | 1997 | PODS | 0.00020518814 |
| 1,173 | Data Independent Recursion in Deductive Databases | 1986 | PODS | 0.00011822695 |
| 1,788 | Decidability and Undecidability Results for Boundedness of Linear Recursive Queries | 1988 | PODS | 9.7653696e-05 |
| 2,015 | A Decidable Class of Bounded Recursions | 1987 | PODS | 9.3047297e-05 |
| 2,600 | Convergence of Datalog over (Pre-) Semirings | 2022 | PODS | 8.3571843e-05 |
| 2,957 | Graph-Theoretic Methods In Database Theory | 1990 | PODS | 7.9200375e-05 |
| 4,615 | Tools for Datalog Boundedness | 1991 | PODS | 6.6050069e-05 |
| 6,301 | Evaluating Datalog over Semirings: A Grounding-based Approach | 2024 | PODS | 5.9213518e-05 |
| 8,100 | The Complexity of Why-Provenance for Datalog Queries | 2024 | PODS | 5.4872887e-05 |
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