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Is Max-2SAT with exactly 3 occurrences per variable APX-hard?
The Max-2SAT problem asks if at least k clauses of a 2CNF formula can be satisfied.
The Max-2SAT(at-most-3) problem is the restriction in which every variable occurs in
at most 3 clauses (counting ...
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Find $\epsilon'$ s.t $L_\epsilon$ is $\mathsf{NP}$-hard for any $\epsilon<\epsilon'$
Let $L_\epsilon$ be the language of all $2$-CNF formulas $\varphi$, such that at least $(\frac{1}{2}+\epsilon)$ of $\varphi$'s clauses can be satisfied.
I need to prove that there exists $\epsilon'$ ...