👉 In logic and mathematics, a "hogback" is a statement that is true if all its premises are true and false otherwise. For example, in the statement "If it rains tomorrow, then I will go to the movies," the "hogback" would be that if it rains tomorrow, then I will go to the movies. Hogbacks can also be used to simplify or reformulate complex statements by using logical connectives such as AND (and), OR (or), and NOT (