On the Power of Dissolution in P Systems with Active Membranes

Abstract

In this paper we study membrane dissolution rules in the framework of P systems with active membranes but without using electrical charges. More precisely, we prove that the polynomial computational complexity class associated with the class of recognizer P systems with active membranes, without polarizations and without dissolution coincides with the standard complexity class P. Furthermore, we demonstrate that if we consider dissolution rules, then the resulting complexity class contains the class NP.