Towards an Accurate Mathematical Model of Generic Nominally-Typed OOP

Abstract: The construction of GNOOP as a domain-theoretic model of generic nominally-typed OOP is currently underway. This extended abstract presents the concepts of nominal intervals' andfull generication' that are likely to help in building GNOOP as an accurate mathematical model of generic nominally-typed OOP. The abstract also presents few related category-theoretic suggestions. The presented concepts and suggestions are particularly geared towards enabling GNOOP to offer a precise and simple view of so-far-hard-to-analyze features of generic OOP such as variance annotations (e.g., Java wildcard types) and erased generics (e.g., Java type erasure).