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Methods of security proofs used in bibliography, apart from games and simulations?

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The question in mainly stated on the title. I am currently studying various cryptographic schemes and most of them use either game based or simulation based methodologies for their proof. I was wondering if there are other (probably less common) proof tools used in the bibliography apart from them. What where the methodologies that were used to prove the security of cryptographic schemes before those were introduced? I did a bit of a searching but nothing came up. Thanks in advance for your time.

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