DOI: 10.1007/978-3-642-11467-0_10
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Abstract: Summary. In this paper, a computational complexity theory within the framework of Membrane Computing is introduced. Polynomial complexity classes associated with different models of cell-like and tissue-like membrane systems are defined and the most relevant results obtained so far are presented. Many attractive characterizations of P = NP conjecture within the framework of a bio-inspired and non-conventional computing model are deduced.