An optical model of computation

  • Authors:
  • Damien Woods;Thomas J. Naughton

  • Affiliations:
  • TASS Research Group, Department of Computer Science, National University of Ireland, Maynooth, Ireland;TASS Research Group, Department of Computer Science, National University of Ireland, Maynooth, Ireland

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2005

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Abstract

We prove computability and complexity results for an original model of computation called the continuous space machine. Our model is inspired by the theory of Fourier optics. We prove our model can simulate analog recurrent neural networks, thus establishing a lower bound on its computational power. We also define a Θ(log2n) unordered search algorithm with our model.