The Diophantine problem for addition and divisibility. (English) Zbl 0374.02025
MSC:
| 03D80 | Applications of computability and recursion theory |
| 11A07 | Congruences; primitive roots; residue systems |
| 11U05 | Decidability (number-theoretic aspects) |
| 03B25 | Decidability of theories and sets of sentences |
References:
| [1] | A. J. Goldman, Resolution and separation theorems for polyhedral convex sets, Linear inequalities and related systems, Annals of Mathematics Studies, no. 38, Princeton University Press, Princeton, N. J., 1956, pp. 41 – 51. · Zbl 0072.37505 |
| [2] | Kurt Mahler, On the Chinese remainder theorem, Math. Nachr. 18 (1958), 120 – 122. · Zbl 0092.00301 · doi:10.1002/mana.19580180112 |
| [3] | Ju. V. Matijasevič, The Diophantineness of enumerable sets, Dokl. Akad. Nauk SSSR 191 (1970), 279 – 282 (Russian). |
| [4] | Julia Robinson, Definability and decision problems in arithmetic, J. Symbolic Logic 14 (1949), 98 – 114. · Zbl 0034.00801 · doi:10.2307/2266510 |
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