Proof-Driven Development

概要

This skill implements a rigorous, outline-driven approach to formal verification, allowing users to design and validate complex algorithms and systems within the Lean 4 ecosystem. By following a tiered workflow of planning, creation, verification, and remediation, it helps ensure that critical software components meet strict mathematical guarantees for safety, liveness, and functional correctness. Whether you are formalizing specifications before implementation or proving properties of existing data structures, this skill provides the structure and tactic-based guidance necessary to eliminate 'sorry' placeholders and achieve machine-checked proof success.

主な機能

• Formalization of safety and liveness properties using Lean 4 theorem proving
• Automated detection and replacement of 'sorry' placeholders with appropriate tactics
• 5 GitHub stars
• Tiered verification workflow including planning, creation, and automated remediation
• Integrated Lean 4/Lake project lifecycle management and build validation
• Tactic selection decision tree for handling arithmetic, logic, and induction goals

ユースケース

• Proving safety properties and invariants for critical path system components
• Documenting architectural design decisions with machine-checked mathematical guarantees
• Verifying the functional correctness of complex algorithms like sorting or graph traversals