Notes on Abstract Argumentation Theory

This note reviews Section 2 of Dung’s seminal 1995 paper on abstract argumentation theory. In particular, we clarify and make explicit all of the proofs mentioned therein, and provide more examples to illustrate the definitions, with the aim to help readers approaching abstract argumentation theory for the first time. However, we provide minimal commentary and will refer the reader to Dung’s paper for the intuitions behind various concepts. The appropriate mathematical prerequisites are provided in the appendices.