# Java Generics: An Order-Theoretic Approach (Abridged Outline)

## TL;DR

This paper proposes a novel order-theoretic and category-theoretic framework for modeling Java generics, aiming to address challenges in understanding and analyzing generic type systems in object-oriented languages.

## Contribution

It introduces a new combined order-theoretic and category-theoretic approach to model generics, providing a foundational perspective for analyzing complex type features.

## Key findings

- Offers a formal mathematical framework for Java generics
- Addresses existing challenges in modeling generic type systems
- Lays groundwork for future analysis and tool development

## Abstract

The mathematical modeling of generics in Java and other similar nominally-typed object-oriented programming languages is a challenge. In this short paper we present the outline of a novel order-theoretic approach to modeling generics, in which we also elementarily use some concepts and tools from category theory. We believe a combined order-theoretic and category-theoretic approach to modeling generics holds the keys to overcoming much of the adversity found when analyzing features of generic OO type systems.