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The specification of distributed engineering systems, can be simplified with the introduction of the well-known service paradigm. Generally, in goal driven-approaches in which services are related to functional goals, the use of concepts through well-formed structures (i.e., ontologies) provide the appropriate functionalities. Nowadays, it is also essential to take into account the crucial aspects of the dynamic services, that is to say their ability to adapt and to be composed in order to complete their task. As a result, we observe a growing need for service composition (i.e., goal composition) together with emerging difficulties such as the selection of appropriate structures describing service functionalities or the problem of semantic heterogeneity resulting from ontology alignment in distributed environments. Therefore, this paper presents a well-founded mathematical approach in which services are expressed in the engineering framework with goal structures. The model builds on channel theory to enable semantic interoperability between functional ontologies. This results into a computationally tractable system in which functional compositionality across cooperative systems can occur in a sound way.