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arXiv · 1702.06000

'Viral' Turing Machines, Computation from Noise and Combinatorial Hierarchies

T. E. Raptis
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Abstract

The interactive computation paradigm is reviewed and a particular example is extended to form the stochastic analog of a computational process via a transcription of a minimal Turing Machine into an equivalent asynchronous Cellular Automaton with an exponential waiting times distribution of effective transitions. Furthermore, a special toolbox for analytic derivation of recursive relations of important statistical and other quantities is introduced in the form of an Inductive Combinatorial Hierarchy.

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T. E. Raptis. 2017-01-31. 'Viral' Turing Machines, Computation from Noise and Combinatorial Hierarchies. https://doi.org/10.1016/j.chaos.2017.09.033

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