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Random CNFs are hard for the polynomial calculus

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2 Author(s)
Ben-Sasson, E. ; Inst. of Math. & Comput. Sci., Hebrew Univ., Jerusalem, Israel ; Impagliazzo, R.

We show a general reduction that derives lower bounds on degrees of polynomial calculus proofs of tautologies, over any field of characteristic (other than 2) from lower bounds for resolution proofs of a related set of linear equations module 2. We apply this to derive linear lower bounds on the degrees of PC proofs of randomly generated tautologies

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Foundations of Computer Science, 1999. 40th Annual Symposium on

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