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of for which differs from $s\_\{k+1/math>.r|ipz01\}\}\}\}$

An important tool in this area is the sparsification lemma of , which shows that, for every $\backslash varepsilon>0$, any $k$-CNF formula can be replaced by simpler $k$-CNF formulas in which each variable appears only a constant number of times, and therefore in which the number of clauses is linear. The sparsification lemma is proven by repeatedly finding large sets of clauses that have a nonempty common intersection in a given formula, and replacing

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