Event Structures as Presheaves —Two Representation Theorems

Abstract

The category of event structures is known to embed fully
and faithfully in the category of presheaves over pomsets. Here a characterisation
of the presheaves represented by event structures is presented.
The proof goes via a characterisation of the presheaves represented by
event structures when the morphisms on event structures are "strict" in
that they preserve the partial order of causal dependence.