Abstract
In this paper we introduce and investigate a very
basic semantics for conditionals that can be used to
define a broad class of conditional reasoning systems. We show that it encompasses the most popular kinds of conditional reasoning developed in
logic-based KR. It turns out that the semantics we
propose is appropriate for a structural analysis of
those conditionals that do not satisfy the property
of Right Weakening. We show that it can be used
for the further development of an analysis of the
notion of relevance in conditional reasoning