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Electronic Colloquium on Computational Complexity

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Reports tagged with CNF-SAT:
TR13-176 | 8th December 2013
Daniel Kane, Osamu Watanabe

A Short Implicant of CNFs with Relatively Many Satisfying Assignments

Revisions: 1 , Comments: 1

Consider any Boolean function $F(X_1,\ldots,X_N)$ that has more than $2^{-N^{d}}$ satisfying assignments and that can be expressed by a CNF formula with at most $N^{1+e}$ clauses for some $d>0$ and $e>0$ such that $d+e$ is less than $1$ (*). Then how many variables do we need to fix in order ... more >>>

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