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Bridging Membrane and Reaction Systems - Further Results and Research Topics


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Author: Paun, Gheorghe
Pérez Jiménez, Mario de Jesús
Rozenberg, Grzegorz
Department: Universidad de Sevilla. Departamento de Ciencias de la Computación e Inteligencia Artificial
Date: 2013
Published in: Proceedings of the Eleventh Brainstorming Week on Membrane Computing, 243-256. Sevilla, E.T.S. de Ingeniería Informática, 4-8 de Febrero, 2013,
ISBN/ISSN: 978-84-940691-9-2
Document type: Presentation
Abstract: This paper continues an investigation into bridging two research areas con- cerned with natural computing: membrane computing and reaction systems. More specif- ically, the paper considers a transfer of two assumptions/axioms of reaction systems, non- permanency and the threshold assumption, into the framework of membrane computing. It is proved that: SN P systems with non-permanency of spikes assumption charac- terize the semilinear sets of numbers, and symport/antiport P systems with threshold assumption (translated as ! multiplicity of objects) can solve SAT in polynomial time. Also, several open research problems are stated.
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