CDI‑Sentinel: Provable Constraint Enforcement for LLMs The Problem Most LLM deployments fail in production because they lack mathematical constraints on reasoning. Statistical likelihood alone does not ensure correct behavior — hallucinations remain unpredictable and unverifiable. Insight: Correct behavior should be treated as constraint satisfaction, not as a statistical artifact. Datadog captures � violations, while Vertex AI solves the Lagrangian system. Hallucinations are no longer mysterious black boxes — they become provable, measurable failures. What CDI‑Sentinel Does CDI‑Sentinel turns LLM hallucinations into provable constraint violations. Correct behavior is formulated as a constraint-satisfaction problem. Violations are streamed to Datadog, triggering automated stabilization of the LLM. Each response is audited, and violations are weighted and managed in real time. How It Works Reasoning engine: Vertex AI Gemini 3.0 Flash Constraint enforcement: Each request is wrapped with a Lagrangian-derived monitor Telemetry: Reasoning traces, drift signals, latency, entropy — sent to Datadog Automated stabilization: Monitors trigger Cloud Functions to repair prompts or roll back unsafe states Mathematically, reasoning is treated as a Lagrangian system: When this balance fails, the event is recorded, and the system solves back toward �. Key Challenges Defining machine-checkable constraints that capture “correct” LLM behavior beyond vague quality metrics. Designing telemetry that exposes internal reasoning (traces, drift measures) without leaking sensitive data or overwhelming Datadog. Accomplishments Built a provable monitoring layer for LLM behavior Detected violations in adversarial tests and restored stability in 1–2 seconds Reduced mean time to recovery by more than an order of magnitude Ensured that acceptance, correction, and denial are all auditable and traceable Key Lessons Treating LLMs as physical systems with conservation laws and constraints makes observability actionable. Combining Vertex AI Gemini 3.0 Flash with Datadog telemetry enables a closed-loop system: Gemini reasons, Lagrangian constraints enforce, Datadog stabilizes. Next Steps for AetherisCore Extend the framework to streaming data (Confluent) and voice interfaces (ElevenLabs) Publish open-source constraint templates so teams can add physics-inspired guarantees to Gemini-based applications Maintain mathematical rigor so every hallucination becomes a measurable, solvable event
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