Google Google This document defines an algorithm for generating and verifying a succinct non-interactive zero-knowledge argument that for a given input x and a circuit C, there exists a witness w, such that C(x,w) evaluates to 0. The technique here combines the MPC-in-the-head approach for constructing ZK arguments described in Ligero [ligero] with a verifiable computation protocol based on sumcheck for proving that C(x,w)=0.