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. ...

Abstract We consider the optimal value function of a parametric optimization problem. A large number publications have been dedicated to study continuity and differentiability properties function. However, aspect works in current literature has mostly limited first order analysis, with focus on estimates its directional derivatives subdifferentials, given that is typically nonsmooth. With progr...

This paper establishes formulas for approximate subdifferentials of locally Lipschitzian marginal (or optimal value) functions which are not required to attain their infimum.