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Cryptographic interactive proof systems provide an efficient and scalablemeans of verifying the results of computation on blockchain. A proverconstructs a proof, off-chain, that the execution of a program on a given inputterminates with a certain result. The prover then publishes a certificate thatcan be verified efficiently and reliably modulo commonly accepted cryptographicassumptions. The method relies on an algebraic encoding of execution traces ofprograms. Here we report on a verification of the correctness of such anencoding of the Cairo model of computation with respect to the STARKinteractive proof system, using the Lean 3 proof assistant.

A verified algebraic representation of Cairo program execution