A system that protects itself.
And gets better at it.

Lyapunov-proven convergence. 200 rounds of adversarial evolution. False negative rate reduced by 60%.

Convergence

Lyapunov-Proven Convergence

FNR -60% over 200 self-evolution rounds. Mathematically proven.

V(x)=xᵀPx, V̇(x)≤-α‖x‖² — Lyapunov function guarantees exponential convergence.

Most systems change over time. MAREF's evolution engine converges. Lyapunov stability analysis proves the system monotonically approaches a safer state — the error rate does not oscillate; it descends toward a provable minimum.

Provably converging.

Lyapunov stability guarantees the system gets safer over time, not just different. The destination is mathematically fixed.

200 rounds. 60% better.

Red-blue adversarial evolution. We attacked it 200 times. It learned every time. FNR dropped by 60%.

Trust that earns itself.

Five-factor Trust Engine v2. Reputation recalibrates with every interaction. Anti-gaming detected.

Evolution with a mathematical destination.

Lyapunov stability analysis proves the governance engine converges toward a safer state over time. The false negative rate does not oscillate — it descends monotonically toward a provable minimum. This is not "empirically better." It is mathematically guaranteed.

Lyapunov function: V(x) = xᵀPx, V̇(x) ≤ -α‖x‖² → exponential convergence

We attacked it 200 times. It thanked us.

Red-blue adversarial evolution pits attack agents against defense agents in 5-stage rounds. Attack intensity escalated from 2.47 to 18.98 (a 7.7x increase). The false negative rate dropped from baseline to -60%. Every attack made the system stronger.

Red-Blue evolution loop 
from maref import RedBlueEvolution

evolution = RedBlueEvolution(
    rounds=200,
    attack_intensity=(
        "escalate",  # 2.47 → 18.98
        "adapt",     # learns from prior round
        "diversify"  # tries new attack surfaces
    )
)

result = evolution.run()
print(f"FNR delta: {result.fnr_delta}%")  # -60%

Trust is earned. And recalibrated. Per interaction.

Trust Engine v2 weights five factors per interaction: recency, consistency, alignment, outcome quality, and adversarial resistance. Goodhart anti-gaming detection prevents agents from optimizing for the trust metric instead of actual trustworthiness.

Technical Specifications

Evolution
Red-Blue adversarial, 5-stage rounds
Rounds
200
FNR reduction
-60%
FPR reduction
-82%
Attack intensity range
2.47 → 18.98 (7.7x)
Trust factors
5 — recency, consistency, alignment, outcome quality, adversarial resistance
Convergence proof
Lyapunov stability analysis, public theorem proof