Temporal logic in finite-state verification is like a set of rules that are used to check if something is correct. To explain it even more simply, think of it like a type of math. In math, you have equations and they have certain rules that they need to follow in order for them to work. Temporal logic in finite-state verification follows the same idea. It is a set of rules that need to be followed for something to be correct. So, whenever someone is verifying something, they can use temporal logic to make sure that the thing they are verifying is following the rules and is correct.