name: coq-proof-assistant description: Interface with Coq proof assistant for formal verification allowed-tools:
- Bash
- Read
- Write
- Edit
- Glob
- Grep metadata: specialization: mathematics domain: science category: theorem-proving phase: 6
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
- Proof Scripts: Write Coq vernacular with proper structuring
- Tactics: Use Ltac macros for proof automation
- Libraries: Leverage MathComp for algebra and SSReflect for reasoning
- Extraction: Generate verified executable code
Tools/Libraries
- Coq
- SSReflect
- MathComp
- CoqIDE or VS Code