Characterizing strong randomness via Martin-Löf randomness

We introduce two methods for characterizing strong randomness notions via Martin-Löf randomness. We apply these methods to investigate Schnorr randomness relative to 0̸′0̸′.

► We introduce two methods to characterize strong randomness notions via Martin-Löf randomness.
► By applying these methods, we are able to characterize 0̸′0̸′-Schnorr randomness via Martin-Löf randomness.
► As an application of these results, we give a natural characterization of 0̸′0̸′-Schnorr randomness using Kolmgorov complexity.