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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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. https://doi.org/10.1007/11523468_83
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DOI: https://doi.org/10.1007/11523468_83
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