Why can't programs be proven?

Question

Why can\'t a computer program be proven just as a mathematical statement can? A mathematical proof is built up on other proofs, which are built up from yet more proofs and

Answer 1

So much noise here, but I am going to shout in the wind anyhow...

"Prove correct" has different meanings in different contexts. In formal systems, "prove correct" means that a formula can be derived from other proven (or axiomatic) formulas. "Prove correct" in programming simply shows code to be equivalent to a formal specification. But how do you prove the formal spec correct? Sadly, there is no way to show a spec to be bug-free or a solution any real-world problem other than through testing.