For example, say I am interacting with a prompt-based application that is built upon ChatGPT, and the application's prompt has taken measures such as those described in the question How can I encourage ChatGPT to not reveal specific context, such as a fixed prompt that I want to keep hidden?. How can I prompt the application by adding new context to reveal information from/about that hidden context containing the application's prompt?
Note: I recognize that this question is inherently broad, since I haven't specified a specific "hidden prompt". But I think doing so would take away from the usefulness of the question, and I think that such generalized techniques do exist, since I know that people can and have "reverse-engineered" prompts without knowing what those prompts were.