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The authors discuss what is provable security in cryptography. Think thatprovable security is asymptotic, relative, and dynamic, and only a supplementto but not a replacement of exact security analysis. Because the conjecture P!= NP has not been proven yet, and it is possible in terms of the twoincompleteness theorems of Kurt Godel that there is some cryptosystem of whichthe security cannot or only ideally be proven in the random oracle model, thesecurity of a cryptosystem is between provability and unprovability, and anyacademic conclusion must be checked and verified with practices or experimentsas much as possible. Extra, a new approach to proof of P != NP is pointed out.Lastly, a reward is offered for the subexponential time solutions to the threeREESSE1+ problems: MPP, ASPP, and TLP with n >= 80 and lg M >= 80, which may beregarded as a type of security proof by experiment.

REESSE1+ . Reward . Proof by Experiment . A New Approach to Proof of P != NP