Title
Computation with a constant number of steps in membrane computing.
Abstract
In the present paper, we propose P systems that work in a constant number of steps. We first propose two P systems for computing multiple input logic functions. An input of the logic functions is a set of n binary numbers of m bits, and an output is a binary number defined by the logic functions. The first and second P systems compute AND and EX-OR functions for the input, and both of the P systems work in a constant number of steps using O(mn) types of objects, a constant number of membranes, and evolution rules of size O(mn). Next, we propose the P system for the addition of two binary numbers of m bits. The P system works in a constant number of steps using O(m) types of objects, a constant number of membranes and evolution rules of size O(m2). We also introduce a P system that computes the addition of two vectors of size n using the above P system as a sub-system. The P system for vector addition works in a constant number of steps using O(mn) types of objects, a constant number of membranes, and evolution rules of size O(m2n).
Year
DOI
Venue
2009
10.1109/IPDPS.2009.5160884
IPDPS
Keywords
Field
DocType
logic function,membrane computing,size o,p system work,n binary number,constant number,m bit,binary number,p system,size n,evolution rule,biological systems,computational modeling,computer science,arithmetic,parallel processing,data mining,probability density function,binary numbers,skin,computational complexity
Evolution biology,Computer science,Algorithm,Membrane,Membrane computing,Probability density function,Binary number,Computational complexity theory,Computation,P system
Conference
ISSN
Citations 
PageRank 
1530-2075
0
0.34
References 
Authors
9
2
Name
Order
Citations
PageRank
Akihiro Fujiwara112227.25
Takeshi Tateishi281.33