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Martin Davis and Hilbert’s Tenth Problem

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Martin Davis on Computability, Computational Logic, and Mathematical Foundations

Part of the book series: Outstanding Contributions to Logic ((OCTR,volume 10))

Abstract

The paper presents the history of the negative solution of Hilbert’s tenth problem , the role played in it by Martin Davis, consequent modifications of the original proof of DPRM-theorem, its improvements and applications, and a new (2010) conjecture of Martin Davis .

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Authors and Affiliations

  1. Laboratory of Mathematical Logic, St. Petersburg Department of V.A. Steklov Institute of Mathematics (POMI), Russian Academy of Sciences, 27 Fontanka, St. petersburg, Russia, 191023

    Yuri Matiyasevich

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  1. Yuri Matiyasevich
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Correspondence to Yuri Matiyasevich .

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  1. University of Trieste, Trieste, Italy

    Eugenio G. Omodeo

  2. University of Udine, Udine, Italy

    Alberto Policriti

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Matiyasevich, Y. (2016). Martin Davis and Hilbert’s Tenth Problem. In: Omodeo, E., Policriti, A. (eds) Martin Davis on Computability, Computational Logic, and Mathematical Foundations. Outstanding Contributions to Logic, vol 10. Springer, Cham. https://doi.org/10.1007/978-3-319-41842-1_2

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