 A negative answer to this question would show that the relation of \(\textrm{deg}_T(A)\) to other degrees uniquely determines the degree of unsolvability of \(A\) relative to \(\mathcal{D}_T\). Recent work has pointed in this direction (see, e.g., Slaman 2008). Nonetheless, at the time of the 2020 update to this entry,  Question 3.2  remains a significant open problem in computability theory whose origins can be traced back to the original foundational work of Turing, Post, and Kleene surveyed above.