A non-interactive proof is a way for one party to provide evidence to another that a statement is true, without needing to engage in a back-and-forth exchange. This is achieved through a single message that contains all necessary information.In this system, the prover creates a proof that can be verified by the verifier. The verifier does not need to interact with the prover afterward to confirm the validity of the proof. This is particularly useful in scenarios where efficiency and privacy are important, as it reduces the amount of communication required.Non-interactive proofs often rely on cryptographic techniques, such as hash functions, to ensure that the proof remains secure and verifiable. One popular method is the use of the Fiat-Shamir heuristic, which transforms interactive proof systems into non-interactive ones by replacing random challenges with hashed values.These proofs facilitate trustless interactions, making them beneficial for various applications, such as secure transactions and identity verification, where a user can demonstrate possession of certain credentials without revealing additional information.