Noisy Turing Machines

  • Eugene Asarin
  • Pieter Collins
Conference paper

DOI: 10.1007/11523468_83

Part of the Lecture Notes in Computer Science book series (LNCS, volume 3580)
Cite this paper as:
Asarin E., Collins P. (2005) Noisy Turing Machines. In: Caires L., Italiano G.F., Monteiro L., Palamidessi C., Yung M. (eds) Automata, Languages and Programming. ICALP 2005. Lecture Notes in Computer Science, vol 3580. Springer, Berlin, Heidelberg

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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Eugene Asarin
    • 1
  • Pieter Collins
    • 2
  1. 1.LIAFAUniversité Paris 7 / CNRSParis Cedex 05France
  2. 2.Centrum voor Wiskunde in InformaticaAmsterdamThe Netherlands

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