Implementation of Arithmetic Operations With Time-Free Spiking Neural P Systems

2015 ◽  
Vol 14 (6) ◽  
pp. 617-624 ◽  
Author(s):  
Xiangrong Liu ◽  
Ziming Li ◽  
Juan Liu ◽  
Logan Liu ◽  
Xiangxiang Zeng
Keyword(s):  
P Systems ◽  
Arithmetic Operations ◽  
Spiking Neural P Systems

Performing Balanced Ternary Logic and Arithmetic Operations with Spiking Neural P Systems with Anti-Spikes

2012 ◽  
Vol 505 ◽  
pp. 378-385 ◽  
Author(s):  
Xian Wu Peng ◽  
Xiao Ping Fan ◽  
Jian Xun Liu
Keyword(s):  
Logic Gates ◽  
P Systems ◽  
P System ◽  
Ternary Logic ◽  
Arithmetic Operations ◽  
Spiking Neural P Systems ◽  
Addition And Subtraction ◽  
Distributed And Parallel Computing ◽  
Computing Models ◽  
Natural Way

Spiking neural P systems are a class of distributed and parallel computing models inspired by P systems and spiking neural networks.Spiking neural P system with anti-spikes can encode the balanced ternary three digits in a natural way using three states called anti-spikes, no-input and spikes. In this paper we use this variant of SN P system to simulate universal balanced ternary logic gates including AND,OR and NOT gate and to perform some basic balanced ternary arithmetic operations like addition and subtraction on balanced ternary integers. This paper provides an applicational answer to an open problem formulated by L.Pan and Gh. Păun.

Performing Four Basic Arithmetic Operations With Spiking Neural P Systems

2012 ◽  
Vol 11 (4) ◽  
pp. 366-374 ◽  
Author(s):  
Xiangxiang Zeng ◽  
Tao Song ◽  
Xingyi Zhang ◽  
Linqiang Pan
Keyword(s):  
P Systems ◽  
Arithmetic Operations ◽  
Spiking Neural P Systems

scholarly journals A Complete Arithmetic Calculator Constructed from Spiking Neural P Systems and its Application to Information Fusion

2020 ◽  
Vol 31 (01) ◽  
pp. 2050055 ◽  
Author(s):  
Gexiang Zhang ◽  
Haina Rong ◽  
Prithwineel Paul ◽  
Yangyang He ◽  
Ferrante Neri ◽  
...  
Keyword(s):  
Information Fusion ◽  
Arithmetic Operation ◽  
P Systems ◽  
Arithmetic Operations ◽  
Spiking Neural P Systems ◽  
Probability Assignment ◽  
Basic Probability Assignment ◽  
Basic Probability ◽  
Addition And Subtraction

Several variants of spiking neural P systems (SNPS) have been presented in the literature to perform arithmetic operations. However, each of these variants was designed only for one specific arithmetic operation. In this paper, a complete arithmetic calculator implemented by SNPS is proposed. An application of the proposed calculator to information fusion is also proposed. The information fusion is implemented by integrating the following three elements: (1) an addition and subtraction SNPS already reported in the literature; (2) a modified multiplication and division SNPS; (3) a novel storage SNPS, i.e. a method based on SNPS is introduced to calculate basic probability assignment of an event. This is the first attempt to apply arithmetic operation SNPS to fuse multiple information. The effectiveness of the presented general arithmetic SNPS calculator is verified by means of several examples.

scholarly journals Implementation of Arithmetic Operations by SN P Systems with Communication on Request

2018 ◽  
Vol 13 (3) ◽  
pp. 353-364
Author(s):  
Yun Jiang ◽  
Yuan Kong ◽  
Chaoping Zhu
Keyword(s):  
Parallel Computing ◽  
P Systems ◽  
Arithmetic Operations ◽  
Spiking Neural P Systems ◽  
Grammar Systems ◽  
Distributed And Parallel Computing ◽  
The Way

Spiking neural P systems (SN P systems, for short) are a class of distributed and parallel computing devices inspired from the way neurons communicate by means of spikes. In most of the SN P systems investigated so far, the system communicates on command, and the application of evolution rules depends on the contents of a neuron. However, inspired from the parallel-cooperating grammar systems, it is natural to consider the opposite strategy: the system communicates on request, which means spikes are requested from neighboring neurons, depending on the contents of the neuron. Therefore, SN P systems with communication on request were proposed, where the spikes should be moved from a neuron to another one when the receiving neuron requests that. In this paper, we consider implementing arithmetical operations by means of SN P systems with communication on request. Specifically, adder, subtracter and multiplier are constructed by using SN P systems with communication on request.

scholarly journals First Steps Towards a CPU Made of Spiking Neural P Systems

2009 ◽  
Vol 4 (3) ◽  
pp. 244 ◽  
Author(s):  
Miguel A. Gutiérrez-Naranjo ◽  
Alberto Leporati
Keyword(s):  
Binary Form ◽  
P Systems ◽  
Single System ◽  
Natural Numbers ◽  
Arithmetic Operations ◽  
Spiking Neural P Systems

We consider spiking neural P systems as devices which can be used to perform some basic arithmetic operations, namely addition, subtraction, comparison and multiplica- tion by a fixed factor. The input to these systems are natural numbers expressed in binary form, encoded as appropriate sequences of spikes. A single system accepts as inputs num- bers of any size. The present work may be considered as a first step towards the design of a CPU based on the working of spiking neural P systems.

scholarly journals Arithmetic Operations with Spiking Neural P Systems with Rules and Weights on Synapses

2018 ◽  
Vol 13 (4) ◽  
pp. 574-589
Author(s):  
Huifang Wang ◽  
Kang Zhou ◽  
Gexiang Zhang
Keyword(s):  
P Systems ◽  
Greatest Common Divisor ◽  
Arithmetic Operations ◽  
Spiking Neural P Systems ◽  
New Variant

The application of spiking neural P systems with rules and weights on synapses to arithmetic operations is discussed in this paper. We design specific spiking neural P systems with rules and weights on synapses for successfully performing addition, multiplication and the greatest common divisor. This is the first attempt to discuss the application of the new variant of spiking neural P systems, spiking neural P systems with rules and weights on synapses, and especially the use of spiking neural P systems to perform the greatest common divisor. Comparing with the results reported in the literature, smaller number of neurons are required to fulfill the arithmetic operations.

Small universal spiking neural P systems with dendritic/axonal delays and dendritic trunk/feedback

2021 ◽  
Vol 138 ◽  
pp. 126-139
Author(s):  
Luis Garcia ◽  
Giovanny Sanchez ◽  
Eduardo Vazquez ◽  
Gerardo Avalos ◽  
Esteban Anides ◽  
...  
Keyword(s):  
P Systems ◽  
Spiking Neural P Systems
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