Noisy Turing Machines

Eugene Asarin (1) , Pieter Collins (2)

1 LIAFA - Laboratoire d'informatique Algorithmique : Fondements et Applications
2 CWI - Centrum voor Wiskunde en Informatica

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.

Mots clés: Turing machines; large deviations

Domaines: Mathématique discrète [cs.DM]; Probabilités [math.PR]

Eugene Asarin, Pieter Collins. Noisy Turing Machines. 32nd International Colloquium on Automata, Languages and Programming ICALP 2005, 2005, Lisbon, Portugal. pp.1031-1042, ⟨10.1007/11523468⟩. ⟨hal-00157585⟩