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The computational complexity of dominance and consistency in CP-nets

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Proceedings of the Nineteenth International Joint Conference on Artificial Intelligence. Pages 144-148.

Abstract

We investigate the computational complexity of testing dominance and consistency in CP-nets. Up until now, the complexity of dominance has been determined only for restricted classes in which the dependency graph of the CP-net is acyclic. However, there are preferences of interest that define cyclic dependency graphs; these are modeled with general CP-nets. We show here that both dominance and consistency testing for general CP-nets are PSPACE-complete. The reductions used in the proofs are from STRIPS planning, and thus establish strong connections between both areas.

Judy Goldsmith, Jérôme Lang, Miroslaw Truszczynski, and Nic Wilson. 2005. The computational complexity of dominance and consistency in CP-nets. In Proceedings of the Nineteenth International Joint Conference on Artificial Intelligence, IJCAI-05. IJCAI, 144–148. https://ijcai.org/proceedings/2005/70
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