That's not math, that's symbolic logic! (Which, to be fair, a lot of people learn in math classes.) And even though De Morgan probably had some mathematical application in mind, De Morgan's rules are a reformulation of some of Occam's teachings, which (al)most certainly did not have mathematics as their basis. And while knowing about finite state automata may be useful for some applications, I don't really see them as something that can't be learned along the way, should a programmer ever need to know how to implement them. In any case, a lot of smart programmers come up with this kind of thing on their own and are often surprised to hear it has a name. :)

(That said, possessing more knowledge only enhances your ability to solve problems.)

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Allolex