Minimal complements for degrees below 0′-Reference-Cited by-同舟云学术

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Minimal complements for degrees below 0′

Published:2004-12 Issue:4 Volume:69 Page:937-966
ISSN:0022-4812
Container-title:Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

Lewis Andrew

Abstract

Abstract.It is shown that for every (Turing) degree 0 < a < 0′ there is a minimal degree m < 0′ such that a ∨ m = 0′ (and therefore a ∧ m = 0).

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference22 articles.

1. Posner D. , High degrees, Ph. D. Thesis , University of California, Berkeley, 1977.

2. Seetapun D. and Slaman T. A. , Minimal complements, unpublished, 1992.

3. Cooper S. B. , Lewis A. E. M. , and Yang Yue , Properly Σ2 minimal degrees and 0″ complementation, to appear.

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