Work accomplished: This week, my research group met and discussed the different elements of the proof which I worked on, and the implementation of the system, which Lloyd worked on. There were a few components of the algorithm that we came up with that needed to be considered more thoroughly for the proof to work out. More specifically, we had to modify the algorithm to allow for the caching of partial files.

Goal: Our research goal for the next few weeks is to continue working on the full proof and the full implementation of the system. Since I am the one working on the proof, I will need to take the updates that we decided on during our meeting, and incorporate them into the proof.

Outcomes: Developed a deeper understanding of the limitations of our current algorithm both in the process of writing the proof, and in the in-person discussion that we had during our meeting. As an outcome, I have more ideas for how to proceed moving forward.