Coq Proof Assistant

Purpose

Provides expert guidance on using the Coq proof assistant for formal verification and mathematical formalization.

Capabilities

• Ltac and Ltac2 tactic generation
• SSReflect/MathComp library integration
• Proof by reflection techniques
• Extraction to OCaml/Haskell
• Proof documentation generation

Usage Guidelines

1. Proof Scripts: Write Coq vernacular with proper structuring
2. Tactics: Use Ltac macros for proof automation
3. Libraries: Leverage MathComp for algebra and SSReflect for reasoning
4. Extraction: Generate verified executable code

Tools/Libraries

• Coq
• SSReflect
• MathComp
• CoqIDE or VS Code