HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Compiling CSPs: A Complexity Map of (Non-Deterministic) Multivalued Decision Diagrams

Abstract : Constraint Satisfaction Problems (CSPs) offer a powerful framework for representing a great variety of problems. The difficulty is that most of the requests associated with CSPs are NP-hard. When these requests have to be addressed online, Multivalued Decision Diagrams (MDDs) have been proposed as a way to compile CSPs. In the present paper, we draw a compilation map of MDDs, in the spirit of the NNF compilation map, analyzing MDDs according to their succinctness and to their tractable transformations and queries. Deterministic ordered MDDs are a generalization of ordered binary decision diagrams to non-Boolean domains: unsurprisingly, they have similar capabilities. More interestingly, our study puts forward the interest of non-deterministic ordered MDDs: when restricted to Boolean domains, they capture OBDDs and DNFs as proper subsets and have performances close to those of DNNFs. The comparison to classical, deterministic MDDs shows that relaxing the determinism requirement leads to an increase in succinctness and allows more transformations to be satisfied in polynomial time (typically, the disjunctive ones). Experiments on random problems confirm the gain in succinctness.
Complete list of metadata

Cited literature [22 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01303816
Contributor : Open Archive Toulouse Archive Ouverte (oatao) Connect in order to contact the contributor
Submitted on : Monday, April 18, 2016 - 4:33:47 PM
Last modification on : Wednesday, October 20, 2021 - 9:58:20 AM
Long-term archiving on: : Tuesday, July 19, 2016 - 3:02:49 PM

File

amillhastre_15480.pdf
Files produced by the author(s)

Identifiers

Citation

Jerome Amilhastre, Hélène Fargier, Alexandre Niveau, Cédric Pralet. Compiling CSPs: A Complexity Map of (Non-Deterministic) Multivalued Decision Diagrams. International Journal on Artificial Intelligence Tools, World Scientific Publishing, 2014, 23 (4), pp.1460015. ⟨10.1142/S021821301460015X⟩. ⟨hal-01303816⟩

Share

Metrics

Record views

163

Files downloads

275