A Semantic Framework for Architecture Modelling

Architectures are common means for organising coordination between components in order to build complex systems and to make them manageable. They allow thinking on a higher plane and avoiding low-level mistakes. Architectures provide means for ensuring correctness-by-construction by enforcing global properties characterising the coordination between components. In this work, we consider the following questions of architecture modelling: 1) how to model architectures; 2) how to compose them if several properties enforced by different architectures are required; 3) how to specify architectures styles that generalise the notion of architectures and represent families of architectures satisfying the same property. An architecture can be considered as an operator that, applied to a set of components, builds a composite component meeting a characteristic property. The underlying concepts of components and their interaction originate from the BIP framework. This thesis is structured in two parts. In the first part, we study the expressiveness of glue operators in the BIP framework. We provide results for classical BIP glue and for several modifications obtained by relaxing the constraints imposed on priority models. We also study an alternative semantics of BIP glue based on the offer predicate. It meets fundamental properties required from component-based frameworks, namely compositionality, incrementality, flattening and modularity. We provide the comparison with the classical BIP semantics and the algorithm for the synthesis of connectors from the interaction logic used to describe coordination constraints. In the second part, we define architectures and propose an architecture composition operator. We study their properties and prove that the composition operator preserves safety properties of its operands. The alternative glue semantics presented in the first part of the thesis allows to extend architectures with priorities. For the specification of architecture styles, we propose configuration logics. We provide a sound and complete axiomatisation of the propositional configuration logic as well as decision procedures for checking that an architecture satisfies a given logical specification. To allow genericity of specifications, we study higher-order extensions of the propositional configuration logic. We illustrate with examples the specification of various architecture styles. We provide an experimental evaluation using the Maude rewriting system to implement the decision procedure for configuration logics. Additionally, we study the relation between the architecture composition operator and the composition of configuration logic formulas.