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Turing Machine

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The Discrete Math Workbook

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Abstract

In order to formalize the concept of an algorithm, Turing suggested a mathematical model of a computing machineĀ [71]. Turing Machine is an abstract computing device consisting of a tape, a reading and printing head and a control device. The Turing machineĀ is not the only way to formalize the concept of an algorithm. Similar approaches are known, leading to equivalent results, among which we should mention the Post machine and the Markov normal algorithm.

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Notes

  1. 1.

    Ā Alan Mathison Turing (1912ā€“1954)ā€”English mathematician and logic.

  2. 2.

    Ā Alonzo Church (1903ā€“1995)ā€”American mathematician and logician.

  3. 3.

    Ā Andrei Andreevich Markov-jr. (1903ā€“1979)ā€”Soviet mathematician and logician.

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Correspondence to Sergei Kurgalin .

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Kurgalin, S., Borzunov, S. (2020). Turing Machine. In: The Discrete Math Workbook. Texts in Computer Science. Springer, Cham. https://doi.org/10.1007/978-3-030-42221-9_10

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  • DOI: https://doi.org/10.1007/978-3-030-42221-9_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-42220-2

  • Online ISBN: 978-3-030-42221-9

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