AAAI Publications, Twenty-Second International Joint Conference on Artificial Intelligence

Font Size: 
SDD: A New Canonical Representation of Propositional Knowledge Bases
Adnan Darwiche

Last modified: 2011-06-28

Abstract


We identify a new representation of propositional knowledge bases, the Sentential Decision Diagram SDD, which is interesting for a number of reasons. First, it is canonical in the presence of additional properties that resemble reduction rules of OBDDs. Second, SDDs can be combined using any Boolean operator in polytime. Third, CNFs with n variables and treewidth w have canonical SDDs of size O(n 2w), which is tighter than the bound on OBDDs based on pathwidth. Finally, every OBDD is an SDD. Hence, working with the latter does not preclude the former.

Full Text: PDF