r-irbe Lean 4 AI Systems Formalization
Guide to formally verifying properties of AI systems, from safety envelopes to alignment guarantees.
Routing
- USE FOR: Formal verification of AI systems — agentic AI safety, alignment, high-stakes AI, evolving agents, neural network properties, and AI governance constraints. Use when formalizing safety envelopes, trust dynamics, multi-agent composition, AI act compliance, reward specifications, alignment properties, or any AI system property that must be formally verified.
- DO NOT USE FOR: AI methodology itself (use @ai-high-stakes-verifiable or @ai-agentic-evolving); security-specific formalisation (use @lean-security-formalization); knowledge formalisation (use @lean-knowledge-formalization).
- TRIGGERS: AI formalization, agentic safety, alignment proof, high-stakes AI, neural network property, AI governance.
Workflow
- Identify the AI property to formalise: safety, alignment, agentic invariant, or neural-network property.
- Pick the matching section of the body (verification framework, formal-property catalog, alignment-axiom set).
- Produce the Lean statement + proof skeleton; verify against the current Mathlib pin before delegating to
@lean-proof. - Hand off: to
@lean-proof-reviewonce the proof compiles, to@lean-enforcementfor the CI gate, to@lean-zettelkastenfor the pattern.
Recovery & STOP
- STOP if the property has not been formally stated — delegate to
@lean-specificationfirst. - STOP if Mathlib does not yet have the needed primitives — escalate to
@lean-research. - STOP if the AI system is agentic/emergent — delegate dynamics modelling to
@ai-agentic-evolvingfirst.
Handoffs
- Predecessors:
agent:gateway,skill:lean-research. - Successors:
skill:lean-proof-review,skill:lean-enforcement,skill:lean-zettelkasten,skill:lean-doc-feedback.
Detailed reference
Full content for lean-ai-formalization lives in
references/lean-ai-formalization-handbook.md.
Load that file when the skill is convened; the SKILL.md only carries
the dispatch contract and the parts index.
| Section | Topic |
|---|---|
| Part 1 | AI Safety Properties |
| Part 2 | Agentic AI |
| Part 4 | High-Stakes AI Verification |
| Part 5 | Neural Network Properties |
| Part 6 | Multi-Agent Composition |
| Part 7 | Commonsense and Causal Reasoning |
| Part 8 | Research Council Integration |
See also
../../references/lean-ai-formalization-handbook.md— Full handbook (extracted from this skill)../lean-proof-review/SKILL.md— Successor../lean-enforcement/SKILL.md— Successor../lean-zettelkasten/SKILL.md— Successor../lean-doc-feedback/SKILL.md— Successor