Abstract
In this paper we introduce four complexity classes for cellularcomputing systems with membranes: the first and the second ones containall decision problems solvable in polynomial time by a family ofdeterministic P systems, without and with an input membrane,respectively; the third and fourth classes contain all decision problemssolvable in polynomial time by a family of non-deterministic P systems,without and with an input membrane, respectively. We illustrate theusefulness of these classes by solving two NP–completeproblems, namely HPP and SAT, in both variants of Psystems.
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Romero Jiménez A (2003) Complejidad y Universalidad en Modelos de Computaciôn Celular. Ph.D. thesis, Universidad de Sevilla.
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Jiménez, M.J.P., Jiménez, Á.R. & Caparrini, F.S. Complexity classes in models of cellular computing with membranes. Natural Computing 2, 265–285 (2003). https://doi.org/10.1023/A:1025449224520
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DOI: https://doi.org/10.1023/A:1025449224520