  We extend our previous algebraic formalisation of the notion of
component-based framework in order to formally define two forms, strong and
weak, of the notion of full expressiveness. Our earlier result shows that the
BIP (Behaviour-Interaction-Priority) framework does not possess the strong full
expressiveness. In this paper, we show that BIP has the weak form of this
notion and provide results detailing weak and strong full expressiveness for
classical BIP and several modifications, obtained by relaxing the constraints
imposed on priority models.
