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| + | ====== Lecture 8 ====== | ||
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| ==== Substitution theorem ==== | ==== Substitution theorem ==== | ||
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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. | ||