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Synopsis
Membrane systems are a new class of distributed and parallel model of computation inspired by the subdivision of living cells into compartments delimited by membranes. Their hierarchal internal structure, their locality of interactions, their inherent parallelism and also their capacity to create new compartments, represent the distinguishing hallmarks of membrane systems.
Membrane computing, the study of membrane systems, is a fascinating and fast growing area of research. The main streams of current investigations in Membrane Computing concern theoretical computer science and the modeling of complex systems. In this monograph, Pierluigi Frisco considers the former trend: he presents an in-depth study of the formal language and computational complexity aspects of the most widely investigated models of membrane systems.
The study gives a comprehensive understanding of the computational power of the models considered, shows different proof techniques used for each study, and introduces links highlighting the similarities and differences between their computational power. These models cover a broad range of features, giving a grasp of the enormous flexibility of the framework offered by membrane systems.