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Intelligent systems. Theory and applications, 2017, Volume 21, Issue 4, Pages 5–17 (Mi ista25)  
Formal definition of Thesis M

N. V. Kurilenko

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (1467 kB)
Abstract: Thesis M is introduced and described in terms of its basic problems with confirming or disproving it. A mathematical formulation of the problem is proposed and the simplest properties of the model are discovered. An example of a one-dimensional continuous cellular structure in which an oracle machine can be implemented is constructed.
Keywords: Church-Turing thesis, Thesis M, cellular automata, continuous cellular automata.
Document Type: Article
Language: Russian
Citation: N. V. Kurilenko, “Formal definition of Thesis M”, Intelligent systems. Theory and applications, 21:4 (2017), 5–17
Citation in format AMSBIB
\Bibitem{Kur17}
\by N.~V.~Kurilenko
\paper Formal definition of Thesis M
\jour Intelligent systems. Theory and applications
\yr 2017
\vol 21
\issue 4
\pages 5--17
\mathnet{http://mi.mathnet.ru/ista25}
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  • https://www.mathnet.ru/eng/ista/v21/i4/p5
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