We prove that the homotopy theory of cocomplete quasicategories is equivalent to the homotopy theory of cofibration categories. This is achieved by presenting both theories as fibration categories and constructing an explicit exact equivalence between them.
"Homotopy theory of cocomplete quasicategories." Algebr. Geom. Topol. 17 (2) 765 - 791, 2017. https://doi.org/10.2140/agt.2017.17.765