منابع مشابه
The Hilbert’s-Tenth-Problem Operator
For a ring R, Hilbert’s Tenth Problem HTP (R) is the set of polynomial equations over R, in several variables, with solutions in R. We view HTP as an operator, mapping each set W of prime numbers to HTP (Z[W−1]), which is naturally viewed as a set of polynomials in Z[X1, X2, . . .]. For W = ∅, it is a famous result of Matiyasevich, Davis, Putnam, and Robinson that the jump ∅′ is Turing-equivale...
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ژورنال
عنوان ژورنال: Scientific American
سال: 1910
ISSN: 0036-8733
DOI: 10.1038/scientificamerican12171910-480