Fuzzy propositional configuration logics

Abstract: We introduce and investigate a weighted propositional configuration logic over De Morgan algebras. This logic is able to describe software architectures with quantitative features such as the uncertainty of the interactions that occur in the architecture. We deal with the equivalence problem of formulas in our logic by proving that every formula can be written in a specific form. To our surprise, there are formulas which are equivalent only over specific De Morgan algebras. We provide examples of formulas in our logic which describe well-known software architectures equipped with quantitative features.