Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduce the notion ofnaturalproof.  argue that the known proofs of lor bounds on the complexity of explicit Boolean functions in nonmonotone models fall within our definition of natural.  show, based on a hardness assumption, that natural proofs can not prove superpolynomial lor bounds for general circuits. Without the hardness assumption,  are able to show that they can not prove exponential lor bounds (for general circuits) for the discrete logarithm problem.  show that the aker class ofAC0-natural proofs which is sufficient to prove the parity lor bounds of Furst, Saxe, and Sipser, Yao, and Hastad is inherently incapable of proving the bounds of Razborov and Smolensky.  give some formal evidence that natural proofs are indeed natural by showing that every formal complexity measure, which can prove superpolynomial lor bounds for a single function, can do so for almost all functions, which is one of the two requirements of a natural proof in our sense.
['Alexander A. Razborov', 'Steven Rudich']
I am writing a research paper on a idea Natural proofs
[{"from": "human", "value": "I am writing a research paper on a idea Natural proofs"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduce the notion ofnaturalproof.  argue that the known proofs of lor bounds on the complexity of explicit Boolean functions in nonmonotone models fall within our definition of natural.  show, based on a hardness assumption, that natural proofs can not prove superpolynomial lor bounds for general circuits. Without the hardness assumption,  are able to show that they can not prove exponential lor bounds (for general circuits) for the discrete logarithm problem.  show that the aker class ofAC0-natural proofs which is sufficient to prove the parity lor bounds of Furst, Saxe, and Sipser, Yao, and Hastad is inherently incapable of proving the bounds of Razborov and Smolensky.  give some formal evidence that natural proofs are indeed natural by showing that every formal complexity measure, which can prove superpolynomial lor bounds for a single function, can do so for almost all functions, which is one of the two requirements of a natural proof in our sense."}]