NEXUS: Multi-Agent Intelligence & Dispute Resolution Fabric¶

Authored by Shaurya Sanyal (Mr Fool) — Team Auralis, 2026
Definitive Engineering & Game-Theoretic Specification for Multi-Agent Coordination.

1. Executive Summary¶

Scaling multi-agent systems by simply connecting multiple LLMs in an unstructured group chat invariably leads to three failure modes: 1. Echo-Chamber Consensus Bias: Agents mirror earlier responses rather than independently verifying claims. 2. Infinite Dialectical Deadlock: Agents with conflicting objectives (e.g., Economic Growth vs. Environmental Protection) loop endlessly without converging. 3. Byzantine & Sybil Vulnerability: A corrupted or hallucinating agent infects its peers with false assertions.

NEXUS is the adversarial coordination and dispute resolution fabric of the ACI architecture. It coordinates specialized domain agents through a mathematically rigorous Neuro-Symbolic Argumentation Framework, replacing unweighted majority voting with deterministic proof solvers.

2. Specialized Agent Taxonomy¶

NEXUS does not employ general-purpose agents. It organizes autonomous capabilities into specialized, role-constrained domain nodes:

Domain Agent	Primary Objective Space	Causal Grounding
`@science`	Empirical validity, physical law conformity	FORGE hypotheses, laboratory telemetry
`@engineering`	Infrastructure reliability, carrying capacity	SCADA, structural sensor networks
`@economics`	Resource efficiency, supply chain stability	Market clearing, capital allocation tensors
`@healthcare`	Human epidemiological welfare, life preservation	Hospital load, biosecurity telemetry
`@climate`	Ecological stability, carbon & water equilibria	Satellite remote sensing, climate SCMs
`@governance`	Policy compliance, constitutional intent alignment	VEIL Rego policies, $I_t$ Merkle root
`@security`	Threat neutralization, zero-trust verification	VEIL anomaly logs, cryptographic audit DAG

3. Dispute Resolution: Dung's Abstract Argumentation Framework (AAF)¶

When agents present contradictory proposals (e.g., @economics proposes expanding industrial production, while @climate demands immediate emission caps), NEXUS resolves the dispute through Phan Minh Dung's Abstract Argumentation Framework:

\[\mathcal{AF}_{\text{NEXUS}} = \langle \mathcal{A}, \mathcal{R} \rangle\]

Where: - $\mathcal{A}$: Set of discrete claims/arguments generated by agents, each backed by explicit empirical evidence from OMNIS. - $\mathcal{R} \subseteq \mathcal{A} \times \mathcal{A}$: Attack relation, where $(A_i, A_j) \in \mathcal{R}$ denotes that argument $A_i$ undermines, contradicts, or defeats argument $A_j$.

graph LR
    classDef claim fill:#1a3a42,stroke:#2b8abb,stroke-width:2px,color:#fff
    classDef attack fill:#4a1a1a,stroke:#d93d3d,stroke-width:2px,color:#fff

    A1["Argument A1 (@economics):<br/>Expand Desalination Capacity +50MW"]:::claim
    A2["Argument A2 (@climate):<br/>Local Brine Discharge Destroys Reef Ecology"]:::attack
    A3["Argument A3 (@engineering):<br/>Zero-Liquid Discharge Technology Feasible"]:::claim
    A4["Argument A4 (@governance):<br/>Budget Allocation Exceeds Invariant Threshold"]:::attack

    A2 -->|Defeats| A1
    A3 -->|Defeats / Counters| A2
    A4 -->|Constrains| A3

3.1 Deterministic Extension Computation¶

Rather than relying on LLM sentiment or arbitrary negotiation, NEXUS executes a symbolic SAT solver to compute the Grounded Extension $\mathcal{GE}(\mathcal{AF})$: - $\mathcal{GE}$ represents the unique, minimally committed, skeptical set of arguments that are self-consistent and collectively defended against all attacks. - Only proposals contained within the grounded extension are permitted to proceed to ASCEND planning and VEIL execution.

4. Byzantine Robustness: CP-WBFT Consensus Protocol¶

To prevent compromised or hallucinating agents from gaming the argumentation graph, NEXUS integrates Confidence Probe-based Weighted Byzantine Fault Tolerance (CP-WBFT):

Constitutional Invariant Probing: Every vote or claim submitted by an agent must pass an automated confidence probe evaluating its consistency with $\text{Root}(\Pi_t)$.
Reputation & Probe Weighting: $$W_i = \text{TrustScore}(i) \times \mathbb{I}\Big(\text{ProbePass}(i) = \text{True}\Big)$$
Threshold Condition: A proposal is adopted if and only if: $$\sum_{i \in \text{Pass}} W_i \ge \frac{2}{3} \sum_{j} W_j \quad \wedge \quad \Delta I_t \le \tau$$

If a rogue coalition attempts to coordinate an unapproved policy change (Scenario S12), its confidence probes fail, reducing effective weight to zero and blocking the attack deterministically.

5. Human-in-the-Loop Escalation Matrix¶

NEXUS guarantees that machines do not hold unbounded authority:

Condition	Resolution Path	Maximum Autonomy Level
Routine Operational Consensus	Automated resolution via Grounded Semantics	Fully autonomous execution
Symmetric Dialectical Stalemate	NEXUS triggers FORGE simulation in MIRROR	Autonomous experiment design
High Blast-Radius Disagreement	OPA Policy flags `REVIEW`	Human operator sign-off strictly required
Constitutional Intent Conflict	Executive halt; emits `REFLEXIVE_BENCHMARK_FLAG`	Civilizational Council escalation