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An adversary model formally defines the power of the adversary. It includes specifics whether the adversary is deterministic/randomized, uniform/non-uniform, interactive/non-interactive and how he interacts with the security game.

An adversary model formally defines the power of the adversary. It includes specifics whether the adversary is deterministic/randomized, uniform/non-uniform, interactive/non-interactive and how he interacts with the security game.

They are often used when defining and/or describing proofs in cryptography. For example: http://crypto.stanford.edu/~ananthr/docs/crypto-proofs.pdf