Spiking Neural P Systems with Anti-Spikes

Linqiang Pan, Gheorghe Păun


Besides usual spikes employed in spiking neural P systems, we consider “anti-spikes", which participate in spiking and forgetting rules, but also annihilate spikes when meeting in the same neuron. This simple extension of spiking neural P systems is shown to considerably simplify the universality proofs in this area: all rules become of the form bc → b′ or bc → lambda , where b,b′ are spikes or anti-spikes. Therefore, the regular expressions which control the spiking are the simplest possi- ble, identifying only a singleton. A possible variation is not to produce anti-spikes in neurons, but to consider some “inhibitory synapses", which transform the spikes which pass along them into anti-spikes. Also in this case, universality is rather easy to obtain, with rules of the above simple forms.


membrane computing, P system, spiking neural P system, computability

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DOI: https://doi.org/10.15837/ijccc.2009.3.2435

Copyright (c) 2017 Linqiang Pan, Gheorghe Păun

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