On the computational complexity of spiking neural P systems

  • Authors:
  • Turlough Neary

  • Affiliations:
  • Boole Centre for Research in Informatics, University College Cork, Cork, Ireland

  • Venue:
  • Natural Computing: an international journal
  • Year:
  • 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.