Arithmetic Operations with Membranes Based on Arithmetic Formula Tables
Membrane system is a computing model which imitates natural process at cellular level. Recent results show that this model is a promising framework. Arithmetic operations are fundamental in computing models. This paper presents arithmetic P systems for performing addition, subtraction, multiplication and division. In these P systems, we put the digits of an integer directly in membranes without converting them to other format, and design evolution rules with priority for single digit operations according to the arithmetic formula tables. Decimal integers arithmetic operations as examples are given to illustrate how to compute the integer numbers in these P systems and the results show that the P systems with these rules can efficiently carry out correctly arithmetic computations of integers.
Membrane computing Arithmetic P systems Arithmetic operation Natural encodings Arithmetic formula tables
Ruilong Yang Ping Guo Jia lee Haizhu Chen
College of Computer Science. Chongqing University,Chongqing 400044,China;Chongqing Key Laboratory of Department of Software Engineering,Chongqing College of Electronic Engineering,Chongqing 401331,Chin
国际会议
成都
英文
319-340
2013-11-04（万方平台首次上网日期，不代表论文的发表时间）