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This article is cited in 23 scientific papers (total in 24 papers)
Diophantine representation of enumerable predicates
Yu. V. Matiyasevich
Abstract:
An example is given of a diophantine relation which has exponential growth. This, together with the well-known results of Martin Davis, Hilary Putnam, and Julia Robinson, yields a proof that every enumerable predicate is Diophantine. This theorem implies that Hilbert's tenth problem is algorithmically unsolvable.
Received: 17.09.1970
Citation:
Yu. V. Matiyasevich, “Diophantine representation of enumerable predicates”, Math. USSR-Izv., 5:1 (1971), 1–28
Linking options:
https://www.mathnet.ru/eng/im1910https://doi.org/10.1070/IM1971v005n01ABEH001004 https://www.mathnet.ru/eng/im/v35/i1/p3
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Abstract page: | 873 | Russian version PDF: | 450 | English version PDF: | 34 | References: | 69 | First page: | 3 |
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