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Statement 2.1 :: Proof that ECDLP cannot be solved ...
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Statement 2.1 :: Proof that ECDLP cannot be solved ... DDH ()
Statement 2.1 :: Proof that ECDLP cannot be solved ...
... is equivalent to proving that P != NP.
(E.g. proving that ECDLP cannot be solved would mean that there exist a class of problems which can be quickly verified but cannot be quickly solved.)