The Valid Model Semantics for Logic Programs
Summary: Introduces the valid model semantics: a three-valued semantics for logic programs with negation, set-terms, grouping and non-ground facts, defined via a ‘normal form’ computation. Naturally extends/refines well-founded semantics, is founded and subsumed by every regular and two-valued stable model, yielding clearer intuition and advantages over prior formulations. (summarized by gpt-5-mini on Feb 09 2026)
Incoming Non-self Citations Over Time
Authors
- 1. Catriel Beeri
- 2. Raghu Ramakrishnan
- 3. Divesh Srivastava
- 4. S. Sudarshan
Incoming Citations (Sorted by Pagerank)
Showing 3 of 3 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 4,857 | The Well-Founded Semantics of Aggregation (Extended Abstract) | 1992 | PODS | 5.8684162e-05 |
| 6,537 | On the Power of Algebras with Recursion | 1993 | SIGMOD | 5.0180143e-05 |
| 8,324 | New Data Models and Languages - the Challenge | 1992 | PODS | 4.5392079e-05 |
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Outgoing Citations (Sorted by Pagerank)
Showing 7 of 7 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 1,208 | The Alternating Fixpoint of Logic Programs with Negation (Extended Abstract) | 1989 | PODS | 0.00013272698 |
| 1,381 | Modular Stratification and Magic Sets for DATALOG Programs with Negation | 1990 | PODS | 0.00012271947 |
| 3,452 | Minimum and Maximum Predicates in Logic Programming | 1991 | PODS | 7.0792604e-05 |
| 4,220 | Monotonic Aggregation in Deductive Databases | 1992 | PODS | 6.3414331e-05 |
| 4,754 | Stable Models and Non-Determinism in Logic Programs with Negation | 1990 | PODS | 5.9377721e-05 |
| 4,857 | The Well-Founded Semantics of Aggregation (Extended Abstract) | 1992 | PODS | 5.8684162e-05 |
| 8,391 | Three-Valued Formalization of Logic Programming: Is It Needed? | 1990 | PODS | 4.523998e-05 |
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Semantically Similar Papers
| Overall Rank | Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 3,855 | Negation and Minimality in Non-Horn Databases | 1993 | PODS | 6.6953111e-05 |
| 1,208 | The Alternating Fixpoint of Logic Programs with Negation (Extended Abstract) | 1989 | PODS | 0.00013272698 |
| 4,857 | The Well-Founded Semantics of Aggregation (Extended Abstract) | 1992 | PODS | 5.8684162e-05 |
| 5,102 | On the Expressive Power of Logic Programming Languages with Sets | 1988 | PODS | 5.6936517e-05 |
| 11,770 | Stable Model Semantics for Tuple-Generating Dependencies Revisited | 2017 | PODS | 4.1905499e-05 |
| 839 | Every Logic Program Has a Natural Stratification And an Iterated Least Fixed Point Model | 1989 | PODS | 0.00015989602 |
| 4,754 | Stable Models and Non-Determinism in Logic Programs with Negation | 1990 | PODS | 5.9377721e-05 |
| 7,980 | The Expressive Powers of the Logic Programming Semantics | 1990 | PODS | 4.6089395e-05 |
| 1,166 | Unfounded Sets and Well-Founded Semantics for General Logic Programs | 1988 | PODS | 0.00013542063 |
| 8,391 | Three-Valued Formalization of Logic Programming: Is It Needed? | 1990 | PODS | 4.523998e-05 |