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Bridging Membrane and Reaction Systems : Further Results and Research Topics

Păun G., Pérez-Jiménez M.J., Rozenberg G.

Fundamenta Informaticae

2013

Vol. 127, nr 1-4

99--114

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, non-permanency and the threshold assumption, into the framework of membrane computing. It is proved that: (1) spiking neural 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.