Noisy turing machines

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Abstract

Turing machines exposed to a small stochastic noise are considered. An exact characterisation of their (≈ Π20) computational power (as noise level tends to 0) is obtained. From a probabilistic standpoint this is a theory of large deviations for Turing machines. © Springer-Verlag Berlin Heidelberg 2005.

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Asarin, E., & Collins, P. (2005). Noisy turing machines. In Lecture Notes in Computer Science (Vol. 3580, pp. 1031–1042). Springer Verlag. https://doi.org/10.1007/11523468_83

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