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Erschienen in: Natural Computing 4/2010

01.12.2010

On the computational complexity of spiking neural P systems

verfasst von: Turlough Neary

Erschienen in: Natural Computing | Ausgabe 4/2010

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Abstract

It is shown here 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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Fußnoten
1
In a similar table given in Neary (2010a) the time/space complexity given for a number of the systems is incorrect due to an error copied from Korec’s paper (Korec 1996). For more see the last paragraph of Sect. 3.
 
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Metadaten
Titel
On the computational complexity of spiking neural P systems
verfasst von
Turlough Neary
Publikationsdatum
01.12.2010
Verlag
Springer Netherlands
Erschienen in
Natural Computing / Ausgabe 4/2010
Print ISSN: 1567-7818
Elektronische ISSN: 1572-9796
DOI
https://doi.org/10.1007/s11047-010-9213-1

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