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A Programming Perspective of the Membrane Systems

We present an operational semantics of the membrane systems, using an appropriate notion of configurations and sets of inference rules corresponding to the three stages of an evolution step in membrane systems: maximal parallel rewriting step, parallel communication of objects through membranes, and parallel membrane dissolving. We define various arithmetical operations over multisets in the framework of membrane systems, indicating their complexity and presenting the membrane systems which implement the arithmetic operations. Finally we discuss and compare various sequential and parallel software simulators of the membrane systems, emphasizing their specific features