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| Topic: |
Technology
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| Number of pages / Number of words: |
7 / 1827 |
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For invalid formulas, these general procedures will never terminate .
The most significant to automated theorem proving occurred in the 1930's and 1960's. In 1930, Herbrand proved an important theorem that changed the idea of a mechanical theorem prover into a more practicable one. He developed an algorithm to find an interpretation that can falsify a given formula...
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He developed an algorithm to find an interpretation that can falsify a given formula. Since, a valid formula is one that is true under all interpretations, this interpretation cannot exist if the formula is indeed valid, and his algorithm will halt after trying out a finite amount of interpretations...
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