Modus Ponens

A minimalist puzzle game of intuitionistic propositional logic. Each level is a map of rooms, and every room is a proposition. Proving a proposition lights its room: choose a closed room as your goal, then touch the rooms that prove it.

Implications are proved inside a hypothetical reality, where the premise is assumed. A fork splits a proof into two cases. Only intuitionistic logic: the excluded middle does not hold, and some rooms never open.