Programming is a branch of engineering. Very little programming is done by proof; It's done by experimentation, debugger, and tests are human-reasoned and hopefully cover all codepaths and critical junctures (for every x > 0, you test x=1, x=0, x=-1).
Proof is of critical importance - It's how you find those junctures, for example, how you optimize, how you design and how you reason about runtime, etc. But programming as practiced in the field is engineering first, mathematics second.
Proof is of critical importance - It's how you find those junctures, for example, how you optimize, how you design and how you reason about runtime, etc. But programming as practiced in the field is engineering first, mathematics second.