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feat: Add domain architecture and extract core services from Prism Console
## Domain Architecture - Complete domain-to-service mapping for 16 verified domains - Subdomain architecture for blackroad.systems and blackroad.io - GitHub organization mapping (BlackRoad-OS repos) - Railway service-to-domain configuration - DNS configuration templates for Cloudflare ## Extracted Services ### AIops Service (services/aiops/) - Canary analysis for deployment validation - Config drift detection - Event correlation engine - Auto-remediation with runbook mapping - SLO budget management ### Analytics Service (services/analytics/) - Rule-based anomaly detection with safe expression evaluation - Cohort analysis with multi-metric aggregation - Decision engine with credit budget constraints - Narrative report generation ### Codex Governance (services/codex/) - 82+ governance principles (entries) - Codex Pantheon with 48+ agent archetypes - Manifesto defining ethical framework ## Integration Points - AIops → infra.blackroad.systems (blackroad-os-infra) - Analytics → core.blackroad.systems (blackroad-os-core) - Codex → operator.blackroad.systems (blackroad-os-operator) 🤖 Generated with [Claude Code](https://claude.com/claude-code) Co-Authored-By: Claude <noreply@anthropic.com>
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services/codex/entries/026-safety-as-lyapunov.md
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services/codex/entries/026-safety-as-lyapunov.md
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# Codex 26 — Safety as Lyapunov — Prove You’ll Settle, Not Spiral
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**Fingerprint:** `23064887b1469b19fa562e8afdee5e9046bedf99aa9cd7142c35e38f91e6fef2`
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## Aim
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Design control policies that guarantee convergence toward safe states.
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## Core
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- Identify a Lyapunov function \(V(x) \ge 0\) such that \(\dot{V}(x) \le -\lambda V(x)\) inside the safe set.
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- Synthesize certificates via sum-of-squares (SOS) or convex relaxations when analytic proofs are hard.
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- Use \(V\) as a safety shield inside model predictive control (MPC) loops.
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## Runbook
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1. Select candidate Lyapunov functions and verify the decrease condition over the operating region.
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2. Integrate the Lyapunov constraint into MPC or reinforcement policies, rejecting actions that raise \(V\) excessively.
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3. Monitor \(\dot{V}\) online and adapt the controller when dynamics shift.
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## Telemetry
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- Estimated decay rate \(\lambda\) and convergence time.
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- Violation counts where actions were rejected by the safety filter.
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- Recovery time after disturbances or policy adjustments.
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## Failsafes
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- Switch to a conservative backup controller when violations repeat.
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- Require re-certification of \(V\) after major model changes or hardware swaps.
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**Tagline:** Stability by proof, not by hope.
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