Question

In the context of zero-knowledge proofs, what is the fundamental difference between the &#x27;trusted setup&#x27; requirements of a zk-SNARK and a zk-STARK?

Accepted Answer

A zero-knowledge proof allows a prover to prove to a verifier that a statement is true without revealing any information beyond the validity of the statement itself. The fundamental difference between zk-SNARKs and zk-STARKs lies in how they handle the initial parameters required to generate and verify these proofs. A zk-SNARK, which stands for Zero-Knowledge Succinct Non-Interactive Argument of Knowledge, typically requires a trusted setup. This is a process where a small group of people generates a set of public parameters, often called a common reference string, which acts like a cryptographic key used for both proving and verifying. The security of the system relies on the assumption that the individuals who performed this setup destroyed the secret randomness, known as toxic waste, used during the process. If someone keeps this secret data, they could theoretically forge false proofs that the verifier would accept as valid. In contrast, a zk-STARK, which stands for Zero-Knowledge Scalable Transparent Argument of Knowledge, eliminates the need for this trusted setup. The term transparent indicates that the system uses publicly verifiable randomness, such as publicly available hash values, to establish the parameters. Because there is no secret data generated during the setup phase, there is no risk of a malicious actor creating fake proofs, making the system inherently more secure and removing the requirement for participants to trust a third party.

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In the context of zero-knowledge proofs, what is the fundamental difference between the 'trusted setup' requirements of a zk-SNARK and a zk-STARK?