On the Nonexistence of a Strong Minimal Pair

Mingzhong Cai, Yiqun Liu, Yong Liu +2

Two nonzero recursively enumerable (r.e.) degrees $\mathbf{a}$ and $\mathbf{b}$ form a strong minimal pair if $\mathbf{a}\wedge \mathbf{b}=0$ and $\mathbf{b}\vee \mathbf{…