Extending concurrency models for broadcast, priorities, and signals

Design and formalize extensions of Petri nets, event structures, and higher dimensional automata that natively capture broadcast communication, priority mechanisms, and signaling; and, where possible, prove that the resulting models are fully expressive with respect to these features.

Background

Standard models often cannot encode features (broadcast, priorities, signals) needed to specify liveness-critical systems without fairness. Extending these models would enable structural analysis of justness and support translations from enriched process algebras while preserving liveness guarantees.