Expressive Power of Linear Algebra Query Languages
Summary: Extend MATLANG with dimension-bounded recursion (loops up to matrix size) to express classical linear-algebra algorithms such as Gaussian elimination and matrix inversion. Characterize expressiveness as arithmetic-circuit families; subfragments correspond to logics on semiring-annotated relations. (summarized by gpt-5-mini on Feb 09 2026)
Incoming Non-self Citations Over Time
Authors
- 1. Floris Geerts
- 2. Thomas Muñoz
- 3. Cristian Riveros
- 4. Domagoj Vrgoč
Incoming Citations (Sorted by Pagerank)
Showing 3 of 3 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 5,998 | A Query Language Perspective on Graph Learning | 2023 | PODS | 5.2365238e-05 |
| 11,000 | Automating Vectorized Distributed Graph Computation | 2024 | SIGMOD | 4.1905499e-05 |
| 11,365 | Givens QR Decomposition over Relational Databases | 2022 | SIGMOD | 4.1905499e-05 |
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Outgoing Citations (Sorted by Pagerank)
Showing 2 of 2 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 31 | Provenance Semirings | 2007 | PODS | 0.00078516827 |
| 4,406 | Declarative Recursive Computation on an RDBMS | 2019 | VLDB | 6.2044305e-05 |
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Semantically Similar Papers
| Overall Rank | Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 4,343 | Languages for Relational Databases over Interpreted Structures | 1997 | PODS | 6.2665123e-05 |
| 4,278 | A Query Language for List-Based Complex Objects | 1994 | PODS | 6.285241e-05 |
| 7,782 | New Techniques for Studying Set Languages, Bag Languages and Aggregate Functions | 1994 | PODS | 4.6479178e-05 |
| 1,738 | Relational Expressive Power of Constraint Query Languages | 1996 | PODS | 0.00010704219 |
| 1,833 | The Expressiveness of a Family of Finite Set Languages | 1991 | PODS | 0.00010365844 |
| 1,905 | A Study of Transitive Closure As a Recursion Mechanism | 1987 | SIGMOD | 0.00010142772 |
| 6,548 | Functional Database Query Languages as Typed Lambda Calculi of Fixed Order (Extended Abstract) | 1994 | PODS | 5.0123519e-05 |
| 364 | A Graphical Query Language Supporting Recursion | 1987 | SIGMOD | 0.00025657601 |
| 855 | Querying Constraints | 1990 | PODS | 0.00015877874 |
| 6,537 | On the Power of Algebras with Recursion | 1993 | SIGMOD | 5.0180143e-05 |