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Bridging Membrane and Reaction Systems – Further Results and Research Topics

By Gheorghe Păun, Mario J. Pérez-jiménez and Grzegorz Rozenberg


Summary. This paper continues an investigation into bridging two research areas concerned with natural computing: membrane computing and reaction systems. More specifically, the paper considers a transfer of two assumptions/axioms of reaction systems, nonpermanency and the threshold assumption, into the framework of membrane computing. It is proved that: (1) SN P systems with non-permanency of spikes assumption characterize the semilinear sets of numbers, and (2) symport/antiport P systems with threshold assumption (translated as ω multiplicity of objects) can solve SAT in polynomial time. Also, several open research problems are stated.

Year: 2014
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