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Unsatisfiable (k,(4*2^k/k))-CNF formulas

Published 10 Oct 2008 in cs.DM and cs.GT | (0810.1904v1)

Abstract: A boolean formula in a conjuctive normal form is called a (k,s)-formula if every clause contains exactly k variables and every variable occurs in at most s clauses. We prove the existence of a (k, 4 * (2k/k))-CNF formula which is unsatisfiable.

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