A theory of classes from the theoretical foundations of LePUS3

Abstract

LePUS3 is a formal design description language for specifying decidable (i.e. automatically verifiable) properties of object-oriented design. LePUS3 has been successfully applied to both design verification and reverse engineering applications. However, LePUS3 is becoming over zealously pragmatic. Its current definition is inflexible, limiting is expressivity, extensibility and reasoning capabilities. We present a new theory of classes derived from the theoretical foundations of LePUS3, and defined in the Typed Predicate Logic. The expressive power of our theory is demonstrated by specifying and reasoning over design patterns.