Definition ∞ Non-Uniform PCD, or Non-Uniform Proof-Carrying Data, refers to a cryptographic system where proofs for different parts of a computation can have varying structures or parameters, yet they can still be aggregated or verified together. This contrasts with uniform systems where all proofs must adhere to a single, consistent structure. Non-Uniform PCD offers greater flexibility in combining diverse computational tasks and their respective proofs. It is relevant for complex, heterogeneous distributed computations.
Context ∞ Non-Uniform PCD is a specialized area within advanced cryptography, particularly relevant for building highly modular and adaptable zero-knowledge proof systems. Its theoretical and practical implications are discussed in contexts requiring the composition of proofs from different sources or for varied computational models. A critical future development involves refining the theoretical foundations and developing practical implementations that can handle arbitrary proof structures efficiently.