Nonrecursive relations among the isols

Ellentuck, Erik

doi:10.1090/S0002-9939-1972-0313039-4

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Nonrecursive relations among the isols
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by Erik Ellentuck

Proc. Amer. Math. Soc. 36 (1972), 239-245

DOI: https://doi.org/10.1090/S0002-9939-1972-0313039-4

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Abstract:

The universal isol metatheorem is extended so as to deal with nonrecursive relations and countable Boolean operations.

References

Erik Ellentuck, Universal isols, Math. Z. 98 (1967), 1–8. MR 214465, DOI 10.1007/BF01116562
Erik Ellentuck, Nonrecursive combinatorial functions, J. Symbolic Logic 37 (1972), 90–95. MR 379159, DOI 10.2307/2272550
Anil Nerode, Extensions to isols, Ann. of Math. (2) 73 (1961), 362–403. MR 131363, DOI 10.2307/1970338
Anil Nerode, Diophantine correct non-standard models in the isols, Ann. of Math. (2) 84 (1966), 421–432. MR 202603, DOI 10.2307/1970455