Synchronization of P Systems with Simplex Channels

We solve the Firing Squad Synchronization Problem (FSSP), for P systems based on digraphs with simplex channels, where communication is restricted by the direction of structural arcs. Previous work on FSSP for P systems focused exclusively on P systems with duplex channels, where communication between parents and children is bidirectional. Our P solution, the first for simplex channels, requires cell IDs, strongly connected digraphs and some awareness of the local topology (such as each cell’s outdegree)—we argue that these requirements are necessary. Compared to the known solutions for cellular automata, our solution is substantially simpler and faster.