Reasoning in the Description Logic BEL Using Bayesian Networks

@inproceedings{Ceylan2014ReasoningIT,
  title={Reasoning in the Description Logic BEL Using Bayesian Networks},
  author={Ismail Ilkan Ceylan and Rafael Pe{\~n}aloza},
  booktitle={AAAI Workshop: Statistical Relational Artificial Intelligence},
  year={2014}
}
We study the problem of reasoning in the probabilistic Description Logic BEL. Using a novel structure, we show that probabilistic reasoning in this logic can be reduced in polynomial time to standard inferences over a Bayesian network. This reduction provides tight complexity bounds for probabilistic reasoning in BEL. 

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