On the Expressiveness of Rule-based Systems for Reasoning with Uncertainty

David E. Heckerman, Eric Horvitz · 2009

We demonstrate that classes of dependencies among beliefs held with uncertainty cannot be represented in rule-based systems in a natural or efficient manner. We trace these limitations to a fundamental difference between certain and uncertain reasoning. In particular, we show that beliefs held with certainty are more modular than uncertain beliefs. We argue that the limitations of the rule-based approach for expressing dependencies are a consequence of forcing nonmodular knowledge into a representation scheme originally c!esigtrect to represent modular beliefs. Finally, we describe cl representation technique that is related.to the rule-based framework yet is not limited in the types of dependencies that it can represent. I

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