Weighted spiking neural P systems with anti-spikes (AWSN P systems) are proposed by adding anti-spikes to spiking neural P systems with weighted synapses. Anti-spikes behave like spikes of inhibition of communication between neurons. Both spikes and anti-spikes are used in the rule expressions. An illustrative example is given to show the working process of the proposed AWSN P systems. The Turing universality of the proposed P systems as number generating and accepting devices is proved. Finally, a universal AWSN P system having 34 neurons is proved to work as a function computing device by using standard rules, and one having 30 neurons is proved to work as a number generator.

中文翻译：

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带反尖峰的加权尖峰神经P系统的图灵通用性

通过向带有加权突触的尖峰神经P系统添加反尖峰，提出了带有反尖峰的加权尖峰神经P系统（AWSN P系统）。反尖峰的行为就像是抑制神经元之间交流的尖峰。规则表达式中使用了尖峰和反尖峰。给出了一个说明性示例，以显示所提出的AWSN P系统的工作过程。证明了所提出的P系统作为数字生成和接受设备的图灵通用性。最后，通过使用标准规则，证明具有34个神经元的通用AWSN P系统可以用作功能计算设备，而具有30个神经元的通用AWSN P系统可以用作数字生成器。