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What Is a Verifiable Random Function (VRF) and Its Use in Consensus?

A Verifiable Random Function (VRF) is a cryptographic primitive that produces a random output and a proof that the output was correctly generated by a specific key holder. In PoS and PoA systems, VRFs are used to select the next block validator in a provably fair and unpredictable manner.

This prevents malicious actors from predicting and influencing the selection process, enhancing the security of the PoS phase.

What Mechanisms Are in Place to Prevent Validator Collusion in PoS?
What Mechanism Ensures the Randomness and Fairness of Validator Selection?
How Does the PoS Part of PoA Select the Signing Validators?
How Does the Size of the Hash Output (E.g. SHA-256) Relate to the Nonce?