proof-driven-development

What problem does it solve?

This skill addresses the need for absolute certainty in critical algorithms and systems. It uses Lean 4 to provide machine-checked mathematical proofs, eliminating logical errors and ensuring properties like safety, liveness, and functional correctness with unparalleled rigor.

Core Features & Use Cases

• Formal Verification with Lean 4: Develop and verify algorithms, data structures, and system properties using a powerful proof assistant.
• Proof-Guided Development: Design proof architectures and theorem statements before implementation, ensuring correctness from the ground up.
• Error Remediation: Guides through completing proof holes (sorry) with appropriate Lean 4 tactics.
• Use Case: Verify the correctness of a cryptographic algorithm or a financial trading system's core logic. This skill ensures that the algorithm behaves exactly as specified under all conditions.

Quick Start

Use the proof-driven-development skill to verify the correctness of a sorting algorithm. The agent will guide you through formalizing the algorithm and proving its properties.