Hard examples for bounded depth frege
STOC '02 Proceedings of the thiry-fourth annual ACM symposium on Theory of computing
Hard examples for the bounded depth Frege proof system
Computational Complexity
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We use the known linear lower bound for Tseitin's tautologies for establishing linear lower bounds on the degree of Nullstellensatz proofs (in the usual boolean setting) for explicitly constructed systems of polynomials of a constant (in our construction 6) degree. It holds over any field of characteristic distinct from 2. Previously, a linear lower bound was proved for an explicitly constructed system of polynomials of a logarithmic degree