A Comparison Between Classical Logic and Three Valued logic for Conditional Events

In this paper we deal with the problem of logical dependence among conditional events. We have used two different methods, in the first particular logical operators are introduced in order to reproduce the fundamental theorem of boolean algebra in a three-valued logic framework. The second one is independent from the particular choice of logical operations because it operates separetely on the antecedents and consequents, whic are two valued entities. Finally we show how these two characterizations can be used in the models for handling partial knowledge by means of coherent conditional probability.