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Unformatted text preview: From V we get K . But thats a contradition , because we cannot have both K and K . What does this mean? Well, it means that H cannot be true, because that assumption led to a contradi-tion which violated the set oF Facts 1-5 we were told about the world. (In particular it led to a contradictory statement that K K . ThereFore we can conclude that H . Assuming H , by (1) we get K . By (4) we get V . By (3) we get A . By (2) we get R . And the only constraint leFt, (5), is satisfed because H . This leads us to a solution ( K, A, H, R,V ) which, you can check, does satisFy all the criteria 1-5. It is also a unique solution because we showed two things: irst, that H cannot happen. Second, that iF H then the other Four variables have uniqely assigned values, which are all a consequence oF H and Facts 1-5. ThereFore this is also the only solution. Page 1 oF 1...
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- Fall '07