A short walk through interval temporal logics

Interval temporal logics are a family of modal logics for reasoning about relational interval structures over linear orders. The set of all possible binary relations between such intervals is known as the set of Allen's interval relations. A distinct modal operator can be associated with each of them.
Formulae of interval temporal logics are evaluated at time intervals rather than time points. This results in a substantially higher expressiveness and computational complexity of interval temporal logics as compared to point-based ones. Our talk is a short walk through interval temporal logics aimed at illustrating the main achievements of research in the field.