Recent developments in philosophical studies of belief revision have l
ed to the construction of models that are much closer to actual comput
ing systems than the earlier models. An operation of contraction (revi
sion) on a logically closed belief set can be obtained by assigning to
it a finite belief base and an operation of contraction (revision) on
that base. Exact characterizations of such base-generated operations
have been obtained. In this way, computational tractability and other
realistic properties of operations on finite bases can be combined wit
h a precise analysis that is independent of the symbolic representatio
n.