Knowledge compilation and theory approximation
Journal of the ACM (JACM)
Decomposable negation normal form
Journal of the ACM (JACM)
A survey on knowledge compilation
AI Communications
Extending the Knowledge Compilation Map: Closure Principles
Proceedings of the 2008 conference on ECAI 2008: 18th European Conference on Artificial Intelligence
AAAI'06 Proceedings of the 21st national conference on Artificial intelligence - Volume 1
Knowledge compilation properties of tree-of-BDDs
AAAI'07 Proceedings of the 22nd national conference on Artificial intelligence - Volume 1
Extending the knowledge compilation map: Krom, Horn, affine and beyond
AAAI'08 Proceedings of the 23rd national conference on Artificial intelligence - Volume 1
New compilation languages based on structured decomposability
AAAI'08 Proceedings of the 23rd national conference on Artificial intelligence - Volume 1
Journal of Artificial Intelligence Research
The comparative linguistics of knowledge representation
IJCAI'95 Proceedings of the 14th international joint conference on Artificial intelligence - Volume 1
Existential closures for knowledge compilation
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Two
Just-in-time compilation of knowledge bases
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
Towards a knowledge compilation map for heterogeneous representation languages
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
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Recent results have shown the interest of trees-of-BDDs [Subbarayan et al., 2007] as a suitable target language for propositional knowledge compilation from the practical side. In the present paper, the concept of tree-of-BDDs is extended to additional classes of data structures C thus leading to trees-of-C representations (ToC). We provide a number of generic results enabling one to determine the queries/transformations satisfied by ToC depending on those satisfied by C. We also present some results about the spatial efficiency of the ToC languages. Focusing on the ToOBDD language (and other related languages), we address a number of issues that remained open in [Subbarayan et al., 2007]. We show that beyond CO and VA, the ToOBDD fragment satisfies IM and ME but satisfies neither CD nor any query among CE, SE unless P = NP. Among other results, we prove that ToOBDD is not comparable w.r.t. succinctness with any of CNF, DNF, DNNF unless the polynomial hierarchy collapses. This contributes to the explanation of some empirical results reported in [Subbarayan et al., 2007].