Noisy turing machines

  • Authors:
  • Eugene Asarin;Pieter Collins

  • Affiliations:
  • LIAFA, Université Paris 7 / CNRS, Paris Cedex 05, France;Centrum voor Wiskunde in Informatica, Amsterdam, The Netherlands

  • Venue:
  • ICALP'05 Proceedings of the 32nd international conference on Automata, Languages and Programming
  • Year:
  • 2005

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Abstract

Turing machines exposed to a small stochastic noise are considered. An exact characterisation of their (≈${\it \Pi}$$_{\rm 2}^{\rm 0}$) computational power (as noise level tends to 0) is obtained. From a probabilistic standpoint this is a theory of large deviations for Turing machines.