intuitionistic propositional logic

Intuitionistic propositional logic is a way of reasoning about true statements that emphasizes how we prove them rather than just whether they are true. Unlike classical logic, which accepts statements as true if they can't be false, intuitionistic logic requires constructive proof—meaning you must explicitly demonstrate how to verify a statement. This approach focuses on the process of evidence and reasoning, often used in mathematics and computer science to ensure that claims are backed by constructive methods. It embodies a philosophy that a statement is only true if we can actively construct a proof for it.