Membrane Dissolution and Division in P

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 different contents, we show that their power is upperbounded by P.

• Type: Conference
• Year: 2009
• Where: UC
• Authors: Damien Woods, Niall Murphy, Mario J. Pérez-Jiménez, Agustin Riscos-Núñez
• Keywords: Applied Computing, Important Restriction, Membrane Systems, Polynomial Time, UC 2009