how to define an inverse cascade delete on a many-to-one mapping in hibernate

I have two classes A and B. Many B's can have association with a single A, hence a many-to-one relationship from B to A. I've mapped the relationship like:

<class name="A" table="tbl_A">
  <property name="propA" column="colA"/>
</class>
<class name="B" table="tbl_B">
  <property name="propB" column="colB"/>
  <many-to-one name="a" class="A" column="col1" cascade="delete"/>
</class>

A has nothing mapped to B. Keeping this in mind we intend to delete B when it's associated A is deleted. This could have been possible if I could define an inverse="true" on the many-to-one association in B but hibernate does not allow that.

Can anyone help with this? We do not want to write anything in A for this.