Cryptographic Attestation & Verification Model (CAVM)

NeuroCP implements a new cryptographic verification layer that confirms the origin, accuracy, and trustworthiness of outputs created by decentralized agents. It uses a combination of digital signatures, zero-knowledge proofs, and deterministic context states to ensure each result is verifiable—without needing any central authority.

1. Formal Representation of NeuroCP Model State

Let a NeuroCP Agent be defined by a deterministic function

$$f_\theta : X \to Y$$

where (X) is the input space, (Y) the output space, and (\theta \in \mathbb{R}^n) the fixed model parameters.

To cryptographically bind an output to a specific model instance, derive a state commitment using a collision-resistant hash function (H):

$$C = H(f_\theta \| \theta \| m)$$

where (m) is the input message or prompt, and (|) denotes byte-level concatenation.

1. Attestation Signature Scheme

Each agent instance is initialized with a public-private key pair ((pk, sk)). Upon producing output

$$y = f_\theta(m)$$

the agent signs the tuple ((m, y, C)) with a digital signature algorithm such as EdDSA:

$$\sigma = \text{Sign}_{sk}(m, y, C)$$

The attestation package ((m, y, C, \sigma, pk)) can be independently verified:

$$\text{Verify}_{pk}(m, y, C, \sigma) = \text{true}$$

3. Deterministic Output Verification

To ensure deterministic outputs, NeuroCP uses seed-locked generation:

$$y = f_\theta(m; s)$$

where (s) is a shared PRNG seed. This guarantees that the same input and seed always produce the same output:

$$f_\theta(m_1; s) = f_\theta(m_2; s) \implies m_1 = m_2$$

The seed is also included in the attestation hash:

$$C = H(f_\theta \| \theta \| m \| s)$$

4. Zero-Knowledge Proof of Execution

For sensitive models, NeuroCP optionally supports zk-SNARK attestation, where a prover generates a succinct proof (\pi):

$$\pi = \text{Prove}(R_f, m, y)$$

with (R_f) encoding the execution of (f_\theta). Verification is performed as:

$$\text{Verify}_{ZK}(\pi, m, y) = \text{true}$$

This allows trusting model outputs without revealing model internals.

5. Blockchain Anchoring

NeuroCP commits attestation hashes periodically to a smart contract on Ethereum:

$$\text{SubmitAttestation}(C, t) \to \text{on-chain}$$

where (t) is a timestamp or block height, creating an immutable log of responses.

6. Security Assumptions

NeuroCP’s security relies on:

• Collision resistance of hash function (H)

• Unforgeability of the signature scheme under UF-CMA

• Soundness and completeness of zk-SNARK protocol

• Determinism of (f_\theta) under fixed seeds

Together, these guarantee cryptographic binding of outputs to specific models and inputs, enabling trustless AI verification.