Logical equivalence refers to a relationship between two statements or propositions where both have the same truth value in every possible scenario. This means that if one statement is true, the other must also be true, and if one is false, the other is false as well. For example, the statements p and not not p are logically equivalent because they always yield the same truth value. In formal logic, logical equivalence is often denoted using the symbol ≡. It is a fundamental concept in areas such as mathematics, computer science, and philosophy, where understanding the relationships between different propositions is crucial for reasoning and problem-solving.