

Publisher: Cambridge University Press
E-ISSN: 1943-5886|39|4|655-660
ISSN: 0022-4812
Source: The Journal of Symbolic Logic, Vol.39, Iss.4, 1974-12, pp. : 655-660
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Abstract
A. H. Lachlan [2] and C. E. M. Yates [4] independently showed that minimal pairs of recursively enumerable (r.e.) degrees exist. Lachlan and Richard Ladner have shown (unpublished) that there is no uniform method for producing a minimal pair of r.e. degrees below a given nonzero r.e. degree. It is not known whether every nonzero r.e. degree bounds a r.e. minimal pair, but in the present paper it is shown (uniformly) that every
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