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As a event A\B stands for "A occurs but B does not." Show that the operations of union, intersection and complement can all be expressed using only this operation.[tex]A \backslash B = A \cap \bar{B}[/tex]
So far I have resorted to making a truth table with a bunch of A\B combinations that look at A\B, (A\B)\B, ((A\B)\B)\B), and so on. I don't see anything very interesting with this approach. What is a more logical way to look at this problem? If I could find a "nand" or "nor" combination, then I could make any operator. Do I just have to stumble on to it?
Thanks!
So far I have resorted to making a truth table with a bunch of A\B combinations that look at A\B, (A\B)\B, ((A\B)\B)\B), and so on. I don't see anything very interesting with this approach. What is a more logical way to look at this problem? If I could find a "nand" or "nor" combination, then I could make any operator. Do I just have to stumble on to it?
Thanks!
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