This makes blockchain based crypto-currencies possible: they allow parties to agree on a total order of transactions without a trusted third party.
To trust a distributed system, the security of the protocol and the correctness of the implementation must be indisputable.
We present the first machine checked proof that guarantees both safety and liveness for a consensus algorithm. We verify a Proof of Stake (PoS) Nakamoto-style blockchain (NSB) protocol, using the foundational proof assistant Coq.
In particular, we consider a PoS NSB in a synchronous network with a static set of corrupted parties. We define execution semantics for this setting and prove chain growth, chain quality, and common prefix which together implies both safety and liveness.
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