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Two Universality Results for (Mem)Brane Systems


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Author: Besozzi, Daniela
Busi, Nadia
Franco, Giuditta
Freund, Rudolf
Paun, Gheorghe
Department: Universidad de Sevilla. Departamento de Ciencias de la Computación e Inteligencia Artificial
Date: 2006
Published in: Proceedings of the Fourth Brainstorming Week on Membrane Computing, vol.I, 49-62. Sevilla, E.T.S. de Ingeniería Informática, 30 de Enero-3 de Febrero, 2006
ISBN/ISSN: 8461106814
Document type: Presentation
Abstract: We prove that P systems with mate and drip operations and using at most five membranes during any step of a computation are universal. This improves a recent similar result from, where eleven membranes are used. The proof of this result has the "drawback" that the output of a computation is obtained on an inner membrane of the system. A universality proof is then given for the case when the result of a computation is found on the skin membrane (on its external side, hence "visible" from the environment), but in this case we use one more membrane, as well as another basic brane operation exo; moreover, the operations are now of the projective type, as introduced in.
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