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r-irber-irbe/proof-skills/skills/lean-ai-formalization/SKILL.md

lean-ai-formalization

Skill3 starsChanged 24 days agoApache-2.0View on GitHub

USE FOR: Formal verification of AI systems: agentic AI safety, alignment, high-stakes AI, evolving agents. DO NOT USE FOR: AI methodology itself (@lean-ai-formalization). TRIGGERS: AI formalization, agentic safety, alignment proof.

The file

We split this skill into the rules it gives an agent

3 rules. About 0 are common, 0 are distinctive, and 3 are very specific to this project.

  • ≈0

    Common · estimate

    Many files like this have a rule of this kind.

  • ≈0

    Distinctive · estimate

    This author's own choices. Worth a look.

  • 3

    Very specific

    Tied to their project's names, files or tools. Probably skip.

  • Common
  • Distinctive
  • Very specific
  1. Very specific:

    STOP if the property has not been formally stated — delegate to @lean-specification first.

    line 49
  2. Very specific:

    STOP if Mathlib does not yet have the needed primitives — escalate to @lean-research.

    line 50
  3. Very specific:

    STOP if the AI system is agentic/emergent — delegate dynamics modelling to @lean-ai-formalization first.

    line 51

≈ “Common” is an estimate: at least 1 in 5 of the 350,495 skill files we read have a rule of the same kind, not the same words. “Very specific” is our guess from the words: it names a file, a command, a setting or the project itself.

Keep what fits and drop the rest. Your version, ready for your agents.
Files
SKILL.md

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 @lean-ai-formalization or @lean-ai-formalization); 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

  1. Identify the AI property to formalise: safety, alignment, agentic invariant, or neural-network property.
  2. Pick the matching section of the body (verification framework, formal-property catalog, alignment-axiom set).
  3. Produce the Lean statement + proof skeleton; verify against the current Mathlib pin before delegating to @lean-proof.
  4. Hand off: to @lean-proof-review once the proof compiles, to @lean-enforcement for the CI gate, to @lean-zettelkasten for the pattern.

Recovery & STOP

  • STOP if the property has not been formally stated — delegate to @lean-specification first.
  • 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 @lean-ai-formalization first.

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.

SectionTopic
Part 1AI Safety Properties
Part 2Agentic AI
Part 4High-Stakes AI Verification
Part 5Neural Network Properties
Part 6Multi-Agent Composition
Part 7Commonsense and Causal Reasoning
Part 8Research 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

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