Proof complexity

Proof complexity is about different methods for verifying mathematical statements that involve a lot of calculations. It's like a puzzle! Different methods are used to figure out if a statement is true or false. For example, imagine someone's trying to figure out if there's enough money in a bank account to buy a new toy. They can add up all the deposits and subtract all the withdrawals to get the current balance of the account. That's one way to check the statement, but it might take a lot of time. With proof complexity, a more efficient way of checking the statement can be figured out, which might take much less time.