Pseudo-Boolean Constraints from a Knowledge Representation Perspective

Pseudo-Boolean Constraints from a Knowledge Representation Perspective

Daniel Le Berre, Pierre Marquis, Stefan Mengel, Romain Wallon

Proceedings of the Twenty-Seventh International Joint Conference on Artificial Intelligence
Main track. Pages 1891-1897. https://doi.org/10.24963/ijcai.2018/261

We study pseudo-Boolean constraints (PBC) and their special case cardinality constraints (CARD) from the perspective of knowledge representation. To this end, the succinctness of PBC and CARD is compared to that of many standard propositional languages. Moreover, we determine which queries and transformations are feasible in polynomial time when knowledge is represented by PBC or CARD, and which are not (unconditionally or unless P = NP). In particular, the advantages and disadvantages compared to CNF are discussed.
Keywords:
Knowledge Representation and Reasoning: Knowledge Representation Languages
Constraints and SAT: Constraints and SAT
Knowledge Representation and Reasoning: Tractable Languages and Knowledge compilation