Title: Arity hierarchy for temporal logic

Speaker: Alex Rabinovich

Abstract The Kamp theorem states that the first-order monadic logic of order has the same expressive power over linerar orders as the temporal logic with two binary modalitis: ``Until" and ``Since"

The first part of this talk surveys Temporal Logics and classical expressive completeness results.

In the second part I will prove that, in contrast to the Kamp theorem, for every n there is a monadic formula of arity n which is not equivalent over the trees to any temporal logic formula wich uses only modalities of arity < n