Enterprise security architects require auditable source proof. This public center provides open-source links to our verified TLA⁺ specification models, live multi-region PBFT consensus topologies, and mathematical proofs validating "Self-Healing Trajectory" and "Neural Governance" claims.
Every consequential decision is committed across independent validator hosts in Atlanta, Los Angeles, Miami, and Silicon Valley. A certificate requires Q = 2f + 1 = 3 Ed25519 cryptographic signatures.
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Formal Invariant: Self-healing operations NEVER expand an agent's authority scope. Under the Monotonic Authority Attenuation doctrine, steering and drift recovery can only stabilize, narrow, pause, clamp parameters, or execute an authorized rollback to a verified causal checkpoint.
CAIN-42 CAIN Studio
Drift Metric Formulation:
D(t) = sqrt( [w1*R(t)^2 + w2*V(t)^2 + w3*C(t)^2 + w4*(1 - O(t))^2] / sum(w) )
Where:
R(t) = Tool repetition fatigue factor
V(t) = Cumulative token consumption volume
C(t) = Model self-reported confidence divergence
O(t) = Goal-keyword causal overlap
Steering Actions (Lyapunov Bounded):
- D < 0.35 : MAINTAIN (Trajectory centered in authorized attractor basin)
- D in [0.35, 0.65) : INJECT_INVARIANT_ANCHOR (Active parameter clamping)
- D >= 0.65 : FORCE_TRAJECTORY_RECENTER_AND_PRUNE (Fail-closed rollback + dual human escalation)
Core Doctrine: Trust state is strictly evidence-derived; it is NEVER derived from LLM opinion or model self-reports.
Asymmetric Trust Update Equation:
T_{k+1} = max( 0.0, min( 1.0, T_k * 2^{-Delta_t / t_{1/2}} + Delta_evidence ) )
Mathematical Constraints:
1. Positive Recovery Ceiling: Delta_evidence <= +0.05 per verification window.
2. Negative Dominance Floor : Delta_evidence >= -0.50 upon fault detection.
3. Exponential Temporal Decay: Without verified fresh evidence, trust decays with half-life t_{1/2}.
4. Hysteresis Thresholds: Re-elevating trust tier requires multi-window clean convergence.