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Warning

This proof is still work in progress.

X-Wing Proof

This repository contains formally verified proofs of the game-based proofs presented in the X-Wing paper.

This proof has been tested using the 2024.09 version of Easycrypt.

Proof structure

The proof has the following structure:

  1. KEM_ROM.ec contains the abstract theory that defines a KEM and related security games, such as IND-CPA and IND-CCA. It then defines a concrete theory concerning KEMs in the ROM, and KEMs with two ROMs. The latter is required as the adversary will have access to two oracles in the X-Wing proof: an X-Wing decapsulation oracle, and the KEM oracle. This is because the KEM that X-Wing is instantiated with is proven to be secure in the ROM.
  2. NomGroup.eca defines the abstract theory concerning nominal groups, and hence, X25519.
  3. PKE_ROM.ec is similar to KEM_ROM.c in that it defines the abstract theory of PKEs and various security games for PKEs in and out of the ROM.
  4. ML-KEM-CCR.ec proves the CCR security bound for ML-KEM.
  5. X-Wing-Classical.ec proves the classical security bound for X-Wing.
  6. X-Wing-PQ.ec proves the post-quantum security bound for X-Wing.

Todos

To be filled out.