Towards a Calculus for Dynamic Architectures

The architecture of a system describes the system's overall organization into components and connections between those components. With the emergence of mobile computing, dynamic architectures have become increasingly important. In such architectures, components may appear or disappear, and connections may change over time. The dynamic nature of such architectures makes reasoning about their behavior difficult. Since components can be activated and deactivated over time, their behavioral specifications depend on their state of activation. To address this problem, we introduce a calculus for dynamic architectures in a natural deduction style. Therefore, we provide introduction and elimination rules for several operators traditionally employed to specify component behavior. Finally, we show soundness and relative completeness of these rules. The calculus can be used to reason about component behavior in a dynamic environment. This is demonstrated by applying it to verify a property of dynamic blackboard architectures.