Definition ∞ A multi-linear polynomial commitment is a cryptographic primitive that allows a prover to commit to a multi-linear polynomial in a concise manner. This commitment can then be opened at specific points, enabling efficient verification that the committed polynomial evaluates correctly at those points. It is a fundamental building block for advanced zero-knowledge proof systems. This technique ensures data integrity and proof compactness.
Context ∞ Technical discussions in crypto news concerning the latest zero-knowledge proof constructions, such as those used in ZK-rollups, frequently reference multi-linear polynomial commitments. Their efficiency and security properties are critical for achieving scalable and private transactions on blockchains. Understanding this primitive helps to appreciate the cryptographic innovations driving layer-2 scaling solutions.
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