<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Bosheng Song</style></author><author><style face="normal" font="default" size="100%">Mario J. Pérez-Jiménez</style></author><author><style face="normal" font="default" size="100%">Linqiang Pan</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Efficient solutions to hard computational problems by P systems with symport/antiport rules and membrane division</style></title><secondary-title><style face="normal" font="default" size="100%">Biosystems</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Cell-like P system; Symport/Antiport rule; Membrane division; Subset Sum problem; QSAT problem</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.sciencedirect.com/science/article/pii/S0303264715000350</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Elsevier</style></publisher><pub-location><style face="normal" font="default" size="100%">San Diego, CA, USA</style></pub-location><volume><style face="normal" font="default" size="100%">130</style></volume><pages><style face="normal" font="default" size="100%">51-58</style></pages><abstract><style face="normal" font="default" size="100%">P systems are computing models inspired by some basic features of biological membranes. In this work, membrane division, which provides a way to obtain an exponential workspace in linear time, is introduced into (cell-like) P systems with communication (symport/antiport) rules, where objects are never modified but they just change their places. The computational efficiency of this kind of P systems is studied. Specifically, we present a (uniform) linear time solution to the NP-complete problem, Subset Sum by using division rules for elementary membranes and communication rules of length at most 3. We further prove that such P system allowing division rules for non-elementary membranes can efficiently solve the PSPACE-complete problem, QSAT in a uniform way.</style></abstract><custom1><style face="normal" font="default" size="100%">1.548</style></custom1><custom2><style face="normal" font="default" size="100%">37/85 - Q2</style></custom2></record></records></xml>