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Has led to many interesting combinatorial questions and some oracle results.
Razborov - Monotone techniques will not carry over to nonmonotone world.
Razborov - In small fragment of arithmetic strong enough to prove favorite theorems 2 & 3, cannot show NP does not have poly size circuits.
Razborov-Rudich - Under strong crypto assumption, combinatorial proofs fulfilling certain largeness and constructivity properties cannot show NP does not have poly size circuits.