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Hyper-torre isols

Published online by Cambridge University Press:  12 March 2014

Erik Ellentuck
Erik Ellentuck*
Affiliation:
Rutgers, The State University, New Brunswick, New Jersey 08903
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Abstract

If T is an isol let D(T) be the least set of isols which contains T and is closed under predecessors and the application of almost recursive combinatorial functions. We find an infinite regressive isol T such that the universal theory (with respect to recursive relations and almost recursive combinatorial functions) of D(T) is the same as that of the nonnegative integers.

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 46 , Issue 1 , March 1981 , pp. 1 - 5
Copyright
Copyright © Association for Symbolic Logic 1981

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References

REFERENCES

[1]Dekker, J. C. E., The minimum of two regressive isols, Mathematische Zeitschrift, vol. 83 (1964), pp. 345–366.CrossRefGoogle Scholar
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