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sav07_lecture_8 [2007/04/06 14:24] vkuncak |
sav07_lecture_8 [2007/04/06 14:25] vkuncak |
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* proof of substitution theorem using structural induction | * proof of substitution theorem using structural induction | ||
* the case of a quantifier as a justification for the definition of capture-avoiding substitution | * the case of a quantifier as a justification for the definition of capture-avoiding substitution | ||
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==== Quantifier elimination from Homework 2 ==== | ==== Quantifier elimination from Homework 2 ==== | ||
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+ | * transformation to conjunctions of literals | ||
* the idea of Fourier-Motzkin elimination | * the idea of Fourier-Motzkin elimination | ||
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The meaning of completeness and soundness of resolution. | The meaning of completeness and soundness of resolution. | ||
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+ | ==== Homework 3 review ==== | ||
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+ | Galois connection. | ||
+ | Characterization of injective and surjective functions. | ||
+ | Two equivalent definitions of Galois connection. | ||