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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)

Paper ID
960
Venue
PODS
Year
1992
Pagerank
6.3602348e-05
Overall Rank
5,111 | 64.94%
DOI
10.1145/137097.137854

Incoming Non-self Citations Over Time

Authors

BibTeX Citation

@inproceedings{gelder_pods92,
        address = {New York, NY, USA},
        series = {{PODS} '92},
        title = {{The Well-Founded Semantics of Aggregation (Extended Abstract)}},
        url = {https://dl.acm.org/doi/10.1145/137097.137854},
        doi = {10.1145/137097.137854},
        booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
        publisher = {Association for Computing Machinery},
        author = {Van Gelder, Allen},
        year = {1992}
}

Incoming Citations (Sorted by Pagerank)

Showing 3 of 3 citing papers.

Rank Citing Paper Year Venue Pagerank
4,002 Monotonic Aggregation in Deductive Databases 1992 PODS 6.9661579e-05
4,165 Variable Independence and Aggregation Closure 1996 PODS 6.858392e-05
8,083 The Valid Model Semantics for Logic Programs 1992 PODS 5.4911506e-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
527 The Magic of Duplicates and Aggregates 1990 VLDB 0.00017108864
2,511 Aggregation and Relevance in Deductive Databases 1991 VLDB 8.4854377e-05
3,560 Minimum and Maximum Predicates in Logic Programming 1991 PODS 7.3094581e-05
4,002 Monotonic Aggregation in Deductive Databases 1992 PODS 6.9661579e-05
7,384 CONSTRAINT QUERY LANGUAGES (preliminary report) 1990 PODS 5.6282573e-05
8,083 The Valid Model Semantics for Logic Programs 1992 PODS 5.4911506e-05
Previous Page 1 / 1 Next

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# Overall Rank Paper Year Venue
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4 799 Logic Programming With Sets 1987 PODS
5 13,166 Fixed-point semantics and the representation of algorithms on large data 1988 VLDB
6 527 The Magic of Duplicates and Aggregates 1990 VLDB
7 8,295 The Expressive Powers of the Logic Programming Semantics 1990 PODS
8 8,083 The Valid Model Semantics for Logic Programs 1992 PODS
9 1,522 Unfounded Sets and Well-Founded Semantics for General Logic Programs 1988 PODS
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