Well, to Be Honest, I Wouldnt Start from Here at All

Computational complexity theory and the related area of efficient algorithms have formed significant subfields of Abstract Argumentation going back over 20 years. There have been major contributions and an increased understanding of the computational issues that influence and beset effective implementation of argument methods. My aim, in this article, is to attempt to take stock of the standing of work in complexity theory as it presently is within the field of Computational Argument, as well as offering some personal views on its future direction.