On the computational complexity of spiking neural P systems

Turlough Neary

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arXiv · 0912.0928

On the computational complexity of spiking neural P systems

Turlough Neary

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Abstract

It is shown that there is no standard spiking neural P system that simulates Turing machines with less than exponential time and space overheads. The spiking neural P systems considered here have a constant number of neurons that is independent of the input length. Following this we construct a universal spiking neural P system with exhaustive use of rules that simulates Turing machines in linear time and has only 10 neurons.

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Turlough Neary. 2009-12-04. On the computational complexity of spiking neural P systems. https://arxiv.org/abs/0912.0928

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