Check out the game Bombe [1]. It's a minesweeper variant where instead of directly flagging or uncovering cells, you define rules for when cells can be flagged. As it gets more advanced you end up building lemmas that implicitly chain off each other. Then as _you_ get more advanced (and the game removes some arbitrary restrictions around your toolset) you can generalize your rules and golf down what you've already constructed.
[1] https://steamcommunity.com/app/2262930