It's maybe interesting to think about a simple chat history over time giving some of the knowledge needed for improved interactions as related to the more complex patterns outlined here.
Here's a similar paper I ran across this morning: https://arxiv.org/abs/2305.18323. Github is here: https://github.com/billxbf/ReWOO
I indexed both documents with my own project, which uses semantic graphs to help with prompt assembly: https://github.com/FeatureBaseDB/DoctorGPT. DoctorGPT doesn't have dynamic prompt chaining yet, but I'm working on it. I hesitate posting any of the analysis of these papers using DoctorGPT here because it would be generated by the LLM, and not me...and some people seem to have an issue with that given this is a human forum.
My sense is that SKGs are important in refining questions, offering alternative approaches, managing context, reflecting on LLM responses, and more.