Raymond Smullyan had many logic puzzles, including the idol that always lies and the idol that always tells the truth. https://duckduckgo.com/?q=raymond+smullyan+puzzles&ia=web

https://www.explainxkcd.com/wiki/index.php/246:_Labyrinth_Pu...

There is a funny story about the idols. https://astralcodexten.substack.com/p/idol-words