Strategy-Based Rewrite Semantics for Membrane Systems Preserves Maximal Concurrency of Evolution Rule Actions

We use a modal logic in order to show that the strategy-based rewrite semantics for membrane systems fully preserves the maximal concurrency of evolution rules actions, whereas the maximal concurrency of communication actions and structural actions is partially preserved. Consequently, the strategy-based rewrite semantics describes more faithfully the behavior of the membrane systems than the rewrite logic-based semantics. It is known that the rewrite logic-based semantics implements the maximal concurrency of the evolution rules in membrane systems only by interleaving concurrency. The concurrency degrees of the communication and structural actions are the same for the two rewrite-based semantics.