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Enumeration of Recursive Sets

Published online by Cambridge University Press:  12 March 2014

Yoshindo Suzuki
Yoshindo Suzuki*
Affiliation:
Tokyo Metropolitan University
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Extract

It is known [1] p. 312 that a simultaneous enumeration of the recursively enumerable sets can be achieved by a Σ10-predicate. We shall show that a simultaneous enumeration of the recursive sets can be achieved by a predicate of the same form.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 24 , Issue 4 , December 1959 , pp. 311
Copyright
Copyright © Association for Symbolic Logic 1952

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References

[1]Friedberg, R. M., Three theorems on recursive enumeration, this Journal, vol. 23 (1958), pp. 309–316.Google Scholar
[2]Kleene, S. C., Introduction to metamathematics, Amsterdam (North Holland), Groningen (Noordhoff), New York and Toronto (Van Nostrand), 1952.Google Scholar