Constructive specifications for compositional units

In previous work, we have introduced a model-theoretic semantics for compositional units, i.e. reusable units that can be used for compositional program development. Such units contain open (logic) programs and our model-theoretic semantics characterizes their correctness and the correctness of their composition. However, for real-world software development, compositional units should be inter-operable, i.e. they should accept programs in different languages. To cater for this, our model-theoretic semantics needs to be used in conjunction with suitable semantics for behaviours and interfaces. In this paper we describe one possible approach based on constructive specifications.