Membrane dissolution and division in P
Woods, Damien and Murphy, Niall and Pérez-Jiménez, Mario J. and Riscos-Núñez, Agustín (2009) Membrane dissolution and division in P. In: Unconventional Computation, Proceedings of the 8th International Conference, UC 2009, Ponta Delgada, Portugal. Springer, Berlin, pp. 262-276. ISBN 9783642037443
Membrane systems with dividing and dissolving membranes are known to solve PSPACE problems in polynomial time. However, we give a P upperbound on an important restriction of such systems. In particular we examine systems with dissolution, elementary division and where each membrane initially has at most one child membrane. Even though such systems may create exponentially many membranes, each with dierent contents, we show that their power is upperbounded by P.
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