  There are several variations of the definition of log del Pezzo pairs in the
literature. We define their suitable smooth models, and we show that they are
the same. In particular, we obtain a characterization of smooth log del Pezzo
pairs in terms of anticanonical models. As applications, we classify
non-rational weak log canonical del Pezzo pairs, and we prove that every
surface of globally F-regular type is of Fano type.
