Architectures in parametric component-based systems: Qualitative and quantitative modelling

One of the key aspects in component-based design is specifying software architecture that characterizes topology and permissible interactions components a system. To achieve well-founded there need to address both qualitative non-functional architectures. In this paper we study quantitative formal modelling architectures applied on parametric systems, consist an unknown number instances each component. Specifically, introduce extended propositional interaction logic investigate its first-order level which serves as language for systems. Our logics encode execution order interactions, main feature several important architectures, well model recursive interactions. Moreover, prove decidability equivalence, satisfiability, validity formulas, provide examples formulas describing well-known We show robustness our theory by effectively extending results weighted For this, counterparts over commutative semiring, apply them concrete Finally, equivalence problem decidable large class semirings, namely (of subsemirings) skew fields.