Resolution Principle

The Resolution Principle is a logical method used in proofs to determine if a statement or set of statements is true or false. It works by taking two statements that contradict each other—meaning they cannot both be true—and combining them to produce a new statement. If this new statement leads to a contradiction or a clear conclusion, it confirms the original statements' validity or proves a particular point. Essentially, it’s a systematic way of testing the consistency of information and deriving conclusions, widely used in areas like computer science and mathematical logic for automated reasoning and problem-solving.