Hostname: page-component-7b7567c8c-7pwfn Total loading time: 0 Render date: 2026-11-15T05:26:26.219Z Has data issue: false hasContentIssue false
  • English
  • Français

Some jump-like operations in β-recursion theory

Published online by Cambridge University Press:  12 March 2014

Colin G. Bailey
Colin G. Bailey*
Affiliation:
School of Mathematics, Statistics & Operations Research, Victoria University of Wellington, Wellington, New Zealand, E-mail: Colin.Bailey@vuw.ac.nz
Get accessRights & Permissions [Opens in a new window]

Abstract

In this paper we show that there are various pseudo-jump operators definable over inadmissible Jβ that relate to the failure of admissiblity and to non-regularity. We will use these ideas to construct some intermediate degrees.

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 78 , Issue 1 , March 2013, pp. 57 - 71
Copyright
Copyright © Association for Symbolic Logic 2013

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

REFERENCES

[1]Devlin, K., Constructibility, Springer-Verlag, Berlin, 1984.CrossRefGoogle Scholar
[2]Friedman, S. D., β-recursion theory, Transactions of the American Mathematical Society, vol. 255 (1979), pp. 173–200.Google Scholar
[3]Friedman, S. D., Negative solutions to Post's problem. II, Annals of Mathematics, vol. 113 (1981), pp. 25–43.CrossRefGoogle Scholar
[4]Homer, S., Intermediate β-r.e. degrees and the half-jump, this Journal, vol. 48 (1983), pp. 790–796.Google Scholar
[5]Maass, W., Inadmissibility, tame r.e. sets and the admissible collapse, Annals of Mathematical Logic, vol. 13 (1978), pp. 149–170.CrossRefGoogle Scholar
[6]Stanley, L. J., A short course on gap-one morasses with a review of the fine structure of L, Surveys in set theory (Mathias, A. R. D., editor), London Mathematical Society Lecture Note Series, vol. 87, Cambridge University Press, Cambridge, 1983, pp. 197–243.CrossRefGoogle Scholar