
Briefing
The foundational challenge in digital accountability is creating cryptographically secure attestations that are also legally interpretable and resistant to quantum threats. This research proposes the Zero-Knowledge Non-Repudiation (ZK-NR) protocol, a layered architecture that integrates STARK-based zero-knowledge proofs with hybrid post-quantum signatures and entropy-accumulating ledger anchoring. ZK-NR achieves semantic interpretability by structurally separating the core cryptographic contextual proofs from human-readable bounded explanations , maintaining cryptographic soundness under the Universal Composability framework. This new primitive establishes a standard for post-quantum secure, verifiably non-repudiable attestations, which is critical for future decentralized identity and regulatory compliance systems.

Context
Prior to ZK-NR, non-repudiation mechanisms in decentralized systems were primarily secured by classical cryptography, leaving them vulnerable to future quantum attacks, and they lacked the necessary structural separation to provide legally sound, human-interpretable evidence. The established NIZK-E model and Q2CSI framework provided theoretical foundations for non-interactive zero-knowledge and quantum-secure systems, respectively, but a unified, layered protocol that delivered both post-quantum non-repudiation and inherent semantic interpretability remained an unsolved architectural challenge.

Analysis
The core mechanism of ZK-NR is its layered composition, which fundamentally differs from monolithic proof systems by achieving dual functionality → cryptographic security and semantic clarity. The protocol uses STARKs for succinct, transparent proof generation and hybrid post-quantum signatures to ensure long-term security against quantum adversaries. The breakthrough lies in the structural separation of the proof artifact into two distinct components → the verifiable contextual proof (the mathematical statement of truth) and the bounded explanation (the human-readable, legally binding interpretation of the statement). This separation is anchored to the ledger via an entropy-accumulating mechanism, ensuring immutability and verifiable non-repudiation while satisfying the formal requirements of the Universal Composability (UC) security framework.

Parameters
- STARK-based Zero-Knowledge Proofs → The specific proof system used for transparent, succinct proof generation and verifiability.
- Hybrid Post-Quantum Signatures → The cryptographic primitive ensuring long-term security against quantum computer attacks.
- Universal Composability Framework → The formal security model used to prove the protocol’s cryptographic soundness.
- Contextual Proofs and Bounded Explanations → The two structurally separated components of the attestation artifact, enabling legal interpretability.

Outlook
The ZK-NR protocol opens new avenues for research in formalizing the legal-cryptographic interface, specifically how on-chain proofs can be directly admitted as evidence in off-chain legal systems. Future work will focus on the protocol’s mathematical foundations and operational validation using formal verification environments. This foundational work is projected to unlock next-generation decentralized identity solutions, regulatory-compliant DeFi primitives, and verifiable supply chain attestations within the next three to five years, creating a truly accountable digital economy.

Verdict
This research introduces a critical, post-quantum primitive that structurally bridges cryptographic proof with legal accountability, fundamentally advancing the foundational principles of verifiable digital attestation.
