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“Viral” Turing Machines, computation from noise and combinatorial hierarchies

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  • Raptis, Theophanes E.

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.

Suggested Citation

  • Raptis, Theophanes E., 2017. "“Viral” Turing Machines, computation from noise and combinatorial hierarchies," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 734-740.
    • Handle: RePEc:eee:chsofr:v:104:y:2017:i:c:p:734-740
    DOI: 10.1016/j.chaos.2017.09.033
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    References listed on IDEAS

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