Elementary Active Membranes Have the Power of Counting

摘要

P systems with active membranes have the ability of solving computationally hard problems. In this paper, the authors prove that uniform families oj'P systems with active membranes operating in polynomial time can solve the whole class of PP decision problems, without using nonelementary membrane division or dissolution rules. This result also holds for families having a stricter uniformity condition than the usual one.