I started theorizing different applications for memristors, mainly in crossbar arrays, around two years ago. Here I plan to publish my findings and ideas with the hope that someone with more ability and resources at their disposal can make something interesting out of it. All of these functions so far rely on the logical IMPLY function, which can be achieved by applying a read/condition voltage to one memristor and a write/set voltage to another. As the IMPLY function is a universal logic functions, all logic functions can be derived from a series of condition and set voltages.
That would be much appreciated, Alex! This project has been on hiatus due to life events and a lack of reliable hardware to model around, you would be giving it the shot in the arm that it direly needs. I will be contacting you soon.