I am trying to find a reduction for the following DLOG problem in generic groups. It is a simple generalization but I'm not finding any reference (the closest being the Chaum-Pedersen signature scheme sec 3.2, and BLS signatures without the hashing).
Let $G$ be a cyclic group, and $g, h$ generators. The problem is to find $y$ given $g^y, h^y$.
Looking for any insight or reference.