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Title:
UC-Security of the ZK-NR Protocol under Contextual Entropy Constraints: A Composable Zero-Knowledge Attestation Framework
Authors: MINKA MI NGUIDJOI Thierry Emmanuel
Abstract:The CRO Trilemma formalizes the inherent incompatibility between confidentiality, reliability, and legal opposability in proof systems. This paper provides the complete Universal Composability (UC) security proof for the ZK-NR protocol, a layered architecture designed to approach this bound. We model each dialectical layer (Iron, Gold, Clay) as an ideal functionality with erasure semantics and prove indistinguishability between real and ideal executions under post-quantum assumptions. The results establish the composable security of ZK-NR and formally achieve a CRO index Γ_CRO < 0.4 + negl(λ) against adaptive contextual adversaries.
ePrint: https://eprint.iacr.org/2025/1529
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