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An invariance notion in recursion theory1

Published online by Cambridge University Press:  12 March 2014

Robert E. Byerly
Robert E. Byerly*
Affiliation:
Ohio State University, Columbus, Ohio 43210
*
Texas Tech University, Lubbock, Texas 79409
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Abstract

A set of gödel numbers is invariant if it is closed under automorphisms of (ω, ·), where ω is the set of all gödel numbers of partial recursive functions and · is application (i.e., n · m ≃ φn(m)). The invariant arithmetic sets are investigated, and the invariant recursively enumerable sets and partial recursive functions are partially characterized.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 47 , Issue 1 , March 1982 , pp. 48 - 66
Copyright
Copyright © Association for Symbolic Logic 1982

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Footnotes

1

The author thanks the referee for a number of valuable suggestions.

References

REFERENCES

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