Bridging Membrane and Reaction Systems --Further Results and Research Topics

  • Authors:
  • Gheorghe Păun;Mario J. Pérez-Jiménez;Grzegorz Rozenberg

  • Affiliations:
  • Institute of Mathematics of the Romanian Academy, PO Box 1-764, 014700 Bucharest, Romania. george.paun@imar.ro, gpaun@us.es;Research Group on Natural Computing, Department of Computer Science and AI, University of Sevilla, Avda Reina Mercedes s/n, 41012 Sevilla, Spain. marper@us.es;Leiden Institute for Advanced Computer Science-LIACS, Leiden University, Niels Bohrweg 1, 2333 CA Leiden, The Netherlands. rozenber@liacs.nl

  • Venue:
  • Fundamenta Informaticae - To Andrzej Skowron on His 70th Birthday
  • Year:
  • 2013

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Abstract

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.