The difference between soundness and completeness
In logic and computer science, soundness and completeness are two fundamental properties of a formal system (a set of rules for proving things). They describe the relationship between Provability (can the system prove it?) and Truth (is it actually true?). Here is the simple breakdown: 1. Soundness: "Everything you prove is true." A system is sound if it never lies to you. If the system produces a proof for a statement, that statement must be valid. The Direction: Proof $\rightarrow$ Truth. The Fear: You don't want False Positives.…