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