The true statement about correctness from the options given is:
Correctness can be shown through formal logic.
This statement reflects the idea that mathematical proofs and formal verification techniques can be employed to establish the correctness of algorithms or systems based on their specifications. Other statements are misleading or incorrect:
- Correctness typically requires identifying specifications in order to determine what correct behavior looks like.
- Correctness can indeed be shown through mathematical proof.
- While testing can help demonstrate correctness for many input values, it cannot guarantee correctness in all cases, as it may not cover all possible scenarios.