caa a22 4500 445842733 CHVBK 20180317145349.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s11047-010-9244-7 doi (NATIONALLICENCE)springer-10.1007/s11047-010-9244-7 The computational power of membrane systems under tight uniformity conditions [Elektronische Daten] [Niall Murphy, Damien Woods] We apply techniques from complexity theory to a model of biological cellular membranes known as membrane systems or P-systems. Like Boolean circuits, membrane systems are defined as uniform families of computational devices. To date, polynomial time uniformity has been the accepted uniformity notion for membrane systems. Here, we introduce the idea of using AC 0-uniformity and investigate the computational power of membrane systems under these tighter conditions. It turns out that the computational power of some systems is lowered from P to NL when using AC 0-semi-uniformity, so we argue that this is a more reasonable uniformity notion for these systems as well as others. Interestingly, other P-semi-uniform systems that are known to be lower-bounded by P are shown to retain their P lower-bound under the new tighter semi-uniformity condition. Similarly, a number of membrane systems that are known to solve PSPACE-complete problems retain their computational power under tighter uniformity conditions. Springer Science+Business Media B.V., 2011 Membrane systems nationallicence P-systems nationallicence Computational complexity nationallicence NL nationallicence Uniformity nationallicence Semi-uniformity nationallicence Murphy Niall Department of Computer Science, National University of Ireland Maynooth, Co. Kildare, Ireland aut Woods Damien California Institute of Technology, 91125, Pasadena, CA, USA aut Natural Computing Springer Netherlands 10/1(2011-03-01), 613-632 1567-7818 10:1<613 2011 10 11047 https://doi.org/10.1007/s11047-010-9244-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11047-010-9244-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Murphy Niall Department of Computer Science, National University of Ireland Maynooth, Co. Kildare, Ireland aut NATIONALLICENCE 700 1- Woods Damien California Institute of Technology, 91125, Pasadena, CA, USA aut NATIONALLICENCE 773 0- Natural Computing Springer Netherlands 10/1(2011-03-01), 613-632 1567-7818 10:1<613 2011 10 11047 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer