Graph-Based Algorithms for Boolean Function Manipulation
IEEE Transactions on Computers
On the size of binary decision diagrams representing Boolean functions
Theoretical Computer Science
Knowledge compilation and theory approximation
Journal of the ACM (JACM)
Decomposable negation normal form
Journal of the ACM (JACM)
The Complexity of Equivalence and Containment for Free Single Variable Program Schemes
Proceedings of the Fifth Colloquium on Automata, Languages and Programming
LATIN '00 Proceedings of the 4th Latin American Symposium on Theoretical Informatics
A compiler for deterministic, decomposable negation normal form
Eighteenth national conference on Artificial intelligence
A survey on knowledge compilation
AI Communications
DNNF-based belief state estimation
AAAI'06 Proceedings of the 21st national conference on Artificial intelligence - Volume 1
Journal of Artificial Intelligence Research
Hierarchical diagnosis of multiple faults
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
Knowledge compilation using theory prime implicates
IJCAI'95 Proceedings of the 14th international joint conference on Artificial intelligence - Volume 1
The comparative linguistics of knowledge representation
IJCAI'95 Proceedings of the 14th international joint conference on Artificial intelligence - Volume 1
Model compilation for real-time planning and diagnosis with feedback
IJCAI'05 Proceedings of the 19th international joint conference on Artificial intelligence
Compiling relational Bayesian networks for exact inference
International Journal of Approximate Reasoning
Structural relaxations by variable renaming and their compilation for solving MinCostSAT
CP'07 Proceedings of the 13th international conference on Principles and practice of constraint programming
Clone: solving weighted Max-SAT in a reduced search space
AI'07 Proceedings of the 20th Australian joint conference on Advances in artificial intelligence
Compilation for critically constrained knowledge bases
AAAI'96 Proceedings of the thirteenth national conference on Artificial intelligence - Volume 1
Compiling constraint networks into AND/OR multi-valued decision diagrams (AOMDDs)
CP'06 Proceedings of the 12th international conference on Principles and Practice of Constraint Programming
Knowledge compilation properties of trees-of-BDDs, revisited
IJCAI'09 Proceedings of the 21st international jont conference on Artifical intelligence
Top-Down Algorithms for Constructing Structured DNNF: Theoretical and Practical Implications
Proceedings of the 2010 conference on ECAI 2010: 19th European Conference on Artificial Intelligence
On Decomposability and Interaction Functions
Proceedings of the 2010 conference on ECAI 2010: 19th European Conference on Artificial Intelligence
Relax, compensate and then recover
JSAI-isAI'10 Proceedings of the 2010 international conference on New Frontiers in Artificial Intelligence
SDD: a new canonical representation of propositional knowledge bases
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Two
Existential closures for knowledge compilation
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Two
Representing CSPs with set-labeled diagrams: a compilation map
GKR'11 Proceedings of the Second international conference on Graph Structures for Knowledge Representation and Reasoning
Knowledge compilation for model counting: affine decision trees
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
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We introduce in this paper two new, complete propositional languages and study their properties in terms of (1) their support for polytime operations and (2) their ability to represent boolean functions compactly. The new languages are based on a structured version of decomposability--a property that underlies a number of tractable languages. The key characteristic of structured decomposability is its support for a polytime conjoin operation, which is known to be intractable for unstructured decomposability. We show that any CNF can be compiled into formulas in the new languages, whose size is only exponential in the treewidth of the CNF. Our study also reveals that one of the languages we identify is as powerful as OBDDs in terms of answering key inference queries, yet is more succinct than OBDDs.