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CSP stands for the constraint satisfaction problem.

14 votes

UGC hardness of the predicate $NAE(x_1, ..., x_\ell)$ for $x_i \in GF(k)$?

I landed on this page from a search about NAE-3SAT. I am pretty sure that for the problem you are asking, it should be NP-hard to tell if the instance is satisfiable, or if at most $1-1/k^{\ell-1}+\e …
Venkat Guruswami's user avatar
9 votes
Accepted

UGC hardness of the predicate $NAE(x_1, ..., x_\ell)$ for $x_i \in GF(k)$?

I realized that what I claimed above is in fact known. For $\ell = 3$ and arbitrary $k \ge 3$, this is in Khot's FOCS 2002 paper "Hardness of coloring 3-colorable 3-uniform hypergraphs" (the paper a …
Venkat Guruswami's user avatar