lean-ai-formalization

Formally verify AI safety properties with Lean statements and proof skeletons.

2|Updated May 26, 2026
One-click install
npx skills add https://github.com/r-irbe/proof-skills --skill lean-ai-formalization
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: lean-ai-formalization
Source: https://github.com/r-irbe/proof-skills/tree/main/skills/lean-ai-formalization
Command: npx skills add https://github.com/r-irbe/proof-skills --skill lean-ai-formalization

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes references (resource) components.

What problem does it solve?

Formal verification of AI systems ensures safety, alignment, and governance guarantees for agentic and high-stakes AI, addressing risks from evolving agents and complex neural-network behavior.

Core Features & Use Cases

  • Define safety envelopes, trust dynamics, and alignment properties in Lean.
  • Model multi-agent composition and governance constraints across neural networks.
  • Provide proof skeletons and handoff guidance to proof reviewers, enforcement, and knowledge-logging workflows.

Quick Start

Provide Lean statements and a proof skeleton for your AI-system property and validate it against Mathlib primitives.

Frequently Asked Questions about lean-ai-formalization

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I formally verify AI safety properties using Lean?

To formally verify AI safety properties using Lean, you provide Lean statements and a proof skeleton for your system's safety envelopes, validating them against Mathlib primitives to ensure alignment and governance guarantees.

What is formal verification for multi-agent AI systems?

Formal verification for multi-agent AI systems is the process of modeling trust dynamics, alignment properties, and governance constraints across neural networks to mathematically prove safety guarantees for evolving agents.

Can I define alignment proofs for evolving AI agents in Lean?

Yes, you can define alignment proofs for evolving AI agents in Lean by creating statements that capture safety envelopes and trust dynamics, then validating the proof skeletons against Mathlib primitives.

How do I validate proof skeletons against Mathlib primitives for neural network governance?

You validate proof skeletons against Mathlib primitives by writing Lean statements that model your neural network governance constraints, ensuring the formal definitions align with established mathematical libraries.

Does this approach support handoffs to proof review and enforcement workflows?

Yes, this approach supports coordinating handoffs to proof-review, enforcement, and zettelkasten workflows by providing structured proof skeletons and guidance for downstream validation of your AI safety guarantees.

What are the limitations of formal verification for high-stakes AI behavior?

Formal verification for high-stakes AI addresses risks from evolving agents and complex neural networks, but requires accurately modeling safety envelopes and trust dynamics in Lean to produce meaningful alignment proofs.