In paper Short signatures from the Weil pairing by Boneh, Lynn and Shacham, I was going through the security proof just like any other signature.But the technique used in this paper is quite unique. Rather than using the normal challenger and adversary interaction, they have divided the proof into 6 games where each game is extended sequentially from the previous games. I am not sure why they have used this approach instead of the normal game. Does this kind of security proof aid in reducing the probability easier or have they just given it from an easy to read and understand point of view?Thanks!
On the Proof Technique of Boneh-Lynn-Shacham Gap Signatures
reference request;cr.crypto security