Algorithms Quick Check 5 of 55 of 5 Items Question Which of the following is a true statement about correctness?(1 point) Responses Correctness can be shown through formal logic. Correctness can be shown through formal logic. Correctness can be shown by testing many possible input values. Correctness can be shown by testing many possible input values. Correctness can be shown without identifying specifications. Correctness can be shown without identifying specifications. Correctness cannot be shown through mathematical proof. Correctness cannot be shown through mathematical proof. Skip to navigation page 13 of 13

Answer 1

The true statement about correctness is:

Correctness can be shown through formal logic.

Formal methods in computer science provide a rigorous way to prove that an algorithm meets its specification through mathematical proof, rather than just relying on testing.

While testing is helpful and can provide evidence of correctness for many cases, it cannot guarantee correctness for all possible inputs. Furthermore, correctness typically requires clear specifications to ascertain if an algorithm behaves as intended.

The option stating that correctness cannot be shown through mathematical proof is incorrect, as proofs are foundational to establishing correctness in algorithms.