Title
On the power of computing with proteins on membranes
Abstract
P systems with proteins on membranes are inspired closely by switching protein channels. This model of membrane computing using membrane division has been previously shown to solve an NP-complete problem in polynomial time. In this paper we characterize the class of problems solvable by these P systems in polynomial time and we show that it equals PSPACE. Therefore, these P systems are computationally equivalent (up to a polynomial time reduction) to the alternating Turing machine or the PRAM computer. The proof technique we employ reveals also some interesting trade-offs between certain P system properties, as antiport rules, membrane labeling by polarization or the presence of proteins.
Year
DOI
Venue
2009
10.1007/978-3-642-11467-0_30
Workshop on Membrane Computing
Keywords
Field
DocType
pram computer,turing machine,membrane division,membrane computing,polynomial time reduction,polynomial time,np-complete problem,certain p system property,p system,antiport rule,np complete problem
2-EXPTIME,Discrete mathematics,P,PSPACE,UP,Membrane computing,Mathematics,PP,P system,NP
Conference
Volume
ISSN
ISBN
5957
0302-9743
3-642-11466-0
Citations 
PageRank 
References 
2
0.37
9
Authors
4
Name
Order
Citations
PageRank
Petr Sosík147968.66
Andrei Paun274374.92
Alfonso Rodríguez-Patón343551.44
David Pérez4656.71