@inproceedings{DBLP:conf/pods/BeeriRSS92, author = {Catriel Beeri and Raghu Ramakrishnan and Divesh Srivastava and S. Sudarshan}, title = {The Valid Model Semantics for Logic Programs}, booktitle = {Proceedings of the Eleventh ACM SIGACT-SIGMOD-SIGART Symposium on Principles of Database Systems, June 2-4, 1992, San Diego, California}, publisher = {ACM Press}, year = {1992}, isbn = {0-89791-519-4}, pages = {91-104}, ee = {http://doi.acm.org/10.1145/137097.137115, db/conf/pods/BeeriRSS92.html}, crossref = {DBLP:conf/pods/92}, bibsource = {DBLP, http://dblp.uni-trier.de} }BibTeX

We present the valid model semantics, a new approach to providing semantics for logic programs with negation, set-terms and grouping. The valid model semantics is a three-valued semantics, and is defined in terms of a 'normal form' computation. The valid model semantics also gives meaning to the generation and use of non-ground facts (i.e., facts with variables) in a computation.

The formulation of the semantics in terms of a normal form computation offers important insight not only into the valid model semantics, but also into other semantics proposed earlier. We show that the valid model semantics extends the well-founded semantics in a natural manner, and has several advantages over it. The well-founded semantics can also be understood using a variant of the normal form computations that we use; the normal form computations used for valid semantics seem more natural than those used for well-founded semantics.

We also show that the valid model semantics has several other desirable properties: it is founded ([SZ90]), it is contained in every regular model ([YY90]), and it is contained in every two-valued stable model.

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Contents BibTeX

[Full Text in PDF Format, 1503 KB]

- [ABW88]
- ...
- [BNST91]
- Catriel Beeri, Shamim A. Naqvi, Oded Shmueli, Shalom Tsur: Set Constructors in a Logic Database Language. J. Log. Program. 10(1/2/3&4): 181-232(1991) BibTeX
- [BRSS91]
- ...
- [GGZ91]
- Sumit Ganguly, Sergio Greco, Carlo Zaniolo: Minimum and Maximum Predicates in Logic Programming. PODS 1991: 154-163 BibTeX
- [GL88]
- Michael Gelfond, Vladimir Lifschitz: The Stable Model Semantics for Logic Programming. ICLP/SLP 1988: 1070-1080 BibTeX
- [KS91]
- David B. Kemp, Peter J. Stuckey: Semantics of Logic Programs with Aggregates. ISLP 1991: 387-401 BibTeX
- [PP88]
- Halina Przymusinska, Teodor C. Przymusinski: Weakly Perfect Model Semantics for Logic Programs. ICLP/SLP 1988: 1106-1120 BibTeX
- [Prz88]
- ...
- [Prz90]
- Teodor C. Przymusinski: Extended Stable Semantics for Normal and Disjunctive Programs. ICLP 1990: 459-477 BibTeX
- [Prz91]
- Teodor C. Przymusinski: Semantics of Disjunctive Logic Programs and Deductive Databases. DOOD 1991: 85-107 BibTeX
- [Ros90]
- Kenneth A. Ross: Modular Stratification and Magic Sets for DATALOG Programs with Negation. PODS 1990: 161-171 BibTeX
- [RS91]
- ...
- [Sch]
- ...
- [SZ90]
- Domenico Saccà, Carlo Zaniolo: Stable Models and Non-Determinism in Logic Programs with Negation. PODS 1990: 205-217 BibTeX
- [Van89]
- Allen Van Gelder: The Alternating Fixpoint of Logic Programs with Negation. PODS 1989: 1-10 BibTeX
- [Van92]
- Allen Van Gelder: The Well-Founded Semantics of Aggregation. PODS 1992: 127-138 BibTeX
- [VRS91]
- Allen Van Gelder, Kenneth A. Ross, John S. Schlipf: The Well-Founded Semantics for General Logic Programs. J. ACM 38(3): 620-650(1991) BibTeX
- [YY90]
- Jia-Huai You, Li-Yan Yuan: Three-Valued Formalization of Logic Programming: Is It Needed? PODS 1990: 172-182 BibTeX

- Serge Abiteboul, Richard Hull, Victor Vianu:
Foundations of Databases.
Addison-Wesley 1995, ISBN 0-201-53771-0

Contents - Catriel Beeri, Tova Milo: On the Power of Algebras with Recursion. SIGMOD Conference 1993: 377-386
- Allen Van Gelder: The Well-Founded Semantics of Aggregation. PODS 1992: 127-138
- Catriel Beeri: New Data Models and Languages - the Challenge. PODS 1992: 1-15

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DBLP: Copyright © by Michael Ley (ley@uni-trier.de), last change: Sat May 16 23:34:05 2009