Question

Give an example of each of the following. If you think no such example exists, explain why not.

A formula that is logically equivalent to A ↔ B.

Answer 1

An example of a formula that is logically equivalent to A ↔ B is (A → B) ∧ (B → A).

Step-by-step explanation:

An example of a formula that is logically equivalent to A ↔ B is (A → B) ∧ (B → A). This formula states that A implies B and B implies A, which is the same as saying A if and only if B. The logical operator ↔ represents a bidirectional implication, meaning that both statements are true or false simultaneously.