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Strong and weak constructivization and computable families. (English) Zbl 0305.02061


MSC:

03D99 Computability and recursion theory
03C99 Model theory
Full Text: DOI

References:

[1] Yu. L. Ershov, ”Constructive models,” in: Selected Questions of Algebra and Logic [in Russian], Novosibirsk (1973), pp. 111-130.
[2] A. I. Mal’tsev, Algorithms and Recursive Functions [in Russian], Nauka (1965).
[3] A. I. Mal’tsev, ”Constructive algebras,” Uspekhi Matem. Nauk,16, No. 3, 3-60 (1961).
[4] A. I. Mal’tsev, ”On recursive Abelian groups,” Dokl. Akad. Nauk,146, No. 5, 1009-1012 (1962).
[5] A. T. Nurtazin, ”Category theory without principal model-complete extensions,” Algebra i Logika,12, No. 3, 360 (1973).
[6] L. A. Harrington, ”Structures with rec. presentation,” Notes Am. Math., Soc.,18, No. 5, 826 (1971).
[7] R. L. Vaught, ”Denumerable models of complete theories, infinistic methods,” in: Proceedings of the Symposium on the Foundations of Mathematics, Warsaw (1961), pp. 303-321. · Zbl 0113.24302
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