Extended SNP Systems with States

Abstract

We consider (extended) spiking neural P systems with states, where the applicability of rules in a neuron not only depends on the presence of su ciently many spikes (yet in contrast to the standard de nition, no regular checking sets are used), but also on the current state of the neuron. Moreover, a spiking rule not only sends spikes, but also state information to the connected neurons. We prove that this variant of the original model of extended spiking neural P systems can simulate register machines with only two states, even in the basic non-extended variant.