There are standard courses in computer science faculties that teach software verification, yet modern software products(Operating Systems especially) require periodic updates and bugs are constantly found. windows code is so complex, I don't have an idea how one would verify its correctness, it s...

I was wondering why 3-SAT is often chosen as the candidate problem from which one reduces from to prove the NP-completeness of another algorithm. I've seen it justified in places such as K&T by We now show that 3-SAT $\leq_p$ Hamiltonian Cycle. Why are we reducing from 3-SAT? Essentially, faced ...