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Recursively enumerable classes and their application to recursive sequences of formal theories. (English) Zbl 0242.02046

03D60 Computability and recursion theory on ordinals, admissible sets, etc.
03D25 Recursively (computably) enumerable sets and degrees
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[1] Dekker, J. C. E., and J. Myhill, Some theorems on classes of recursively enumerable sets.Trans. Amer. Math. Soc. 89, No. 1 (1958), pp. 25–59. · Zbl 0083.00302 · doi:10.1090/S0002-9947-1958-0097310-7
[2] Ehrenfeucht, A., Two theories with axioms built by means of pleonasms.The Journal of Symbolic Logic 22, No. 1 (1957), pp. 36–38. · Zbl 0078.24402 · doi:10.2307/2964056
[3] Friedberg, R., Three theorems on recursive enumeration.The Journal of Symbolic Logic 23, No. 3 (1958), pp. 309–316. · Zbl 0088.01601 · doi:10.2307/2964290
[4] Kleene, S. C., Introduction to metamathematics. New York, Van Nostrand, Amsterdam, North Holland Publishing Co. and Groningen, Noordhoff, 1952, x + 550 pp. · Zbl 0047.00703
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