The problem of acquiring uncertain rules from examples is considered.
The uncertain rules are expressed using a simple probabilistic logic
which obeys all the axioms of propositional logic. By using three truth
values (true, false, undefined) a consistent expression of
contradictory evidence is obtained. As well the logic is able to express
the correlations between rules and to deal both with uncertain rules and
with uncertain evidence. It is shown that there is a subclass of such
rules where the probabilities of correlations between the rules can be
directly computed from examples.
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