In a problem-solving approach, a context graph is used to describe the current state of a system, and changes are made using microservices that modify this graph. The goal is to reach a target context by filling in gaps or differences between the initial and target contexts. This process involves creating and linking nodes representing objects such as HTML files, code files, and natural language text files to a tree-like structure, which can be understood as a graph. A solution to a problem is represented by a path of microservices that modify the context graph until it fulfills all constraints of the problem. The process can be compared to evolving a Document Object Model (DOM) graph used in web development, where each step builds on the previous one to reach the desired outcome.