  We introduce the class of MAT-free hyperplane arrangements which is based on
the Multiple Addition Theorem by Abe, Barakat, Cuntz, Hoge, and Terao. We also
investigate the closely related class of MAT2-free arrangements based on a
recent generalization of the Multiple Addition Theorem by Abe and Terao. We
give classifications of the irreducible complex reflection arrangements which
are MAT-free respectively MAT2-free. Furthermore, we ask some questions
concerning relations to other classes of free arrangements.
