The Well-Founded Semantics of Aggregation (Extended Abstract)
Summary: Gives a well-founded semantics for aggregation, treating first-order and inductive aggregates under recursion using definable subset/superset predicates and a negatively-used findall. Produces robust outcomes (e.g., handles negative-weight edges and leaves tuples undefined for negative cycles) without extra semantic machinery. (summarized by gpt-5-mini on Feb 09 2026)
Incoming Non-self Citations Over Time
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Incoming Citations (Sorted by Pagerank)
Showing 3 of 3 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 2,970 | Variable Independence and Aggregation Closure | 1996 | PODS | 7.7971058e-05 |
| 4,223 | Monotonic Aggregation in Deductive Databases | 1992 | PODS | 6.3474752e-05 |
| 7,672 | The Valid Model Semantics for Logic Programs | 1992 | PODS | 4.6826453e-05 |
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Outgoing Citations (Sorted by Pagerank)
Showing 6 of 6 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 445 | The Magic of Duplicates and Aggregates | 1990 | VLDB | 0.0002294367 |
| 2,544 | Aggregation and Relevance in Deductive Databases | 1991 | VLDB | 8.5730083e-05 |
| 3,446 | Minimum and Maximum Predicates in Logic Programming | 1991 | PODS | 7.0861064e-05 |
| 4,223 | Monotonic Aggregation in Deductive Databases | 1992 | PODS | 6.3474752e-05 |
| 7,173 | CONSTRAINT QUERY LANGUAGES (preliminary report) | 1990 | PODS | 4.8114568e-05 |
| 7,672 | The Valid Model Semantics for Logic Programs | 1992 | PODS | 4.6826453e-05 |
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Semantically Similar Papers
| Overall Rank | Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 843 | Every Logic Program Has a Natural Stratification And an Iterated Least Fixed Point Model | 1989 | PODS | 0.00016005595 |
| 5,102 | On the Expressive Power of Logic Programming Languages with Sets | 1988 | PODS | 5.6992154e-05 |
| 7,591 | On the First-Order Expressibility of Recursive Queries | 1989 | PODS | 4.702934e-05 |
| 649 | Logic Programming With Sets | 1987 | PODS | 0.00018662857 |
| 12,969 | Fixed-point semantics and the representation of algorithms on large data | 1988 | VLDB | 4.1945683e-05 |
| 445 | The Magic of Duplicates and Aggregates | 1990 | VLDB | 0.0002294367 |
| 7,977 | The Expressive Powers of the Logic Programming Semantics | 1990 | PODS | 4.613363e-05 |
| 7,672 | The Valid Model Semantics for Logic Programs | 1992 | PODS | 4.6826453e-05 |
| 1,166 | Unfounded Sets and Well-Founded Semantics for General Logic Programs | 1988 | PODS | 0.00013554968 |
| 4,223 | Monotonic Aggregation in Deductive Databases | 1992 | PODS | 6.3474752e-05 |