Existential definability in arithmetic. (English) Zbl 0047.24802

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[1] M. Davis, Arithmetical problems and recursively enumerable predicates (abstract), Journal of Symbolic Logic vol. 15 (1950) pp. 77-78.
[2] Kurt Gödel, Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I, Monatsh. Math. Phys. 38 (1931), no. 1, 173 – 198 (German). · JFM 57.0054.02
[3] S. C. Kleene, Recursive predicates and quantifiers, Trans. Amer. Math. Soc. 53 (1943), 41 – 73. · Zbl 0063.03259
[4] A. Tarski, A decision method for elementary algebra and geometry, Rand Corporation, Santa Monica, Calif., 1948. Reprinted by the University of California Press, Berkeley, Calif., 1951. · Zbl 0044.25102
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