The DOI matches its Crossref record; 24 of the 24 references it cites were found in a registry or an index.
Semiring-based constraint satisfaction and optimization
Open accessAbstract
We introduce a general framework for constraint satisfaction and optimization where classical CSPs, fuzzy CSPs, weighted CSPs, partial constraint satisfaction, and others can be easily cast. The framework is based on a semiring structure, where the set of the semiring specifies the values to be associated with each tuple of values of the variable domain, and the two semiring operations (+ and X) model constraint projection and combination respectively. Local consistency algorithms, as usually used for classical CSPs, can be exploited in this general framework as well, provided that certain conditions on the semiring operations are satisfied. We then show how this framework can be used to model both old and new constraint solving and optimization schemes, thus allowing one to both formally justify many informally taken choices in existing schemes, and to prove that local consistency techniques can be used also in newly defined schemes.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Zadeh, L. A. (1965) · Information and Control · doi:10.1016/s0019-9958(65)90241-x · Cited by 67,855
Zadeh, L. A. (1996) · Cited by 46,844
Lecture Notes in Computer Science 1205
(1999) · Industrial Robot: An International Journal · doi:10.1108/ir.1999.04926fae.001 · Cited by 38,662
Bellman, R. E. (2010) · doi:10.1515/9781400835386 · Cited by 14,588
Consistency in networks of relations
Mackworth, A. K. (1977) · Artificial Intelligence · doi:10.1016/0004-3702(77)90007-8 · Cited by 2,458
Freimer, M., Bellman, R. E., & Dreyfus, S. E. (1964) · Journal of the American Statistical Association · doi:10.2307/2282884 · Cited by 2,153
Bellman, R. E., & Dreyfus, S. E. (1962) · Princeton University Press eBooks · doi:10.1515/9781400874651 · Cited by 1,971
Jaffar, J., & Lassez, J.-L. (1987) · Proceedings of the 14th ACM SIGACT-SIGPLAN symposium on Principles of programming languages - POPL '87 · doi:10.1145/41625.41635 · Cited by 1,597
Scene Labeling by Relaxation Operations
Rosenfeld, A., Hummel, R. A., & Zucker, S. W. (1976) · IEEE Transactions on Systems, Man, and Cybernetics · doi:10.1109/tsmc.1976.4309519 · Cited by 1,399
Axioms of Cooperative Decision Making
Moulin, H. (1988) · doi:10.1017/ccol0521360552 · Cited by 1,279
Cited by
Green, T. J., Karvounarakis, G., & Tannen, V. (2007) · Proceedings of the twenty-sixth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems · doi:10.1145/1265530.1265535 · Cited by 812
Gradualness, uncertainty and bipolarity: Making sense of fuzzy sets
Dubois, D., & Prade, H. (2012) · Fuzzy Sets and Systems · doi:10.1016/j.fss.2010.11.007 · Cited by 297
Metadata
- Authors
- Bistarelli, S., Montanari, U., & Rossi, F.
- Venue
- Journal of the ACM
- Published
- 1997-03
- Volume
- 44
- Issue
- 2
- Pages
- 201-236
- ISSN
- 0004-5411 (ISSN-L)
- 1557-735X
- OpenAlex
- W2156525231
- Cited by
- 630
- References
- 24
- FWCI
- 13.96
- Type
- journal article
- Language
- en
- Open access
- bronze
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Semiring-based constraint satisfaction and optimization. https://app.cochat.ai/papers/10.1145/256303.256306
- The paper
- Bistarelli, S., Montanari, U., & Rossi, F. (1997). Semiring-based constraint satisfaction and optimization. Journal of the ACM. https://doi.org/10.1145/256303.256306
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.