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arXiv · 1108.3432

Generalized Communicating P Systems Working in Fair Sequential Model

Antoine Spicher·Sergey Verlan
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Abstract

In this article we consider a new derivation mode for generalized communicating P systems (GCPS) corresponding to the functioning of population protocols (PP) and based on the sequential derivation mode and a fairness condition. We show that PP can be seen as a particular variant of GCPS. We also consider a particular stochastic evolution satisfying the fairness condition and obtain that it corresponds to the run of a Gillespie's SSA. This permits to further describe the dynamics of GCPS by a system of ODEs when the population size goes to the infinity.

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Antoine Spicher, Sergey Verlan. 2011-08-17. Generalized Communicating P Systems Working in Fair Sequential Model. https://arxiv.org/abs/1108.3432

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