Abstract We introduce Hyper 2 LTL, a temporal logic for the specification of hyperproperties that allows second-order quantification over sets traces. Unlike first-order logics hyperproperties, such as HyperLTL, LTL can express complex epistemic properties like common knowledge, Mazurkiewicz trace theory, and asynchronous hyperproperties. The model checking problem is, in general, undecidable. ...