DeepSeek Prover-V2 7B Formal Theorem Proving in Lean 4 - Install Locally
AI Summary
Overview of DeepSeek Prover v2
- Introduction: DeepSeek has released an AI model specialized for generating formal mathematical proofs in Lean 4 language. This model constructs step-by-step machine-checked proofs for various math problems.
- Model Structure: It breaks large theorems into smaller sub-problems and stitches them together using feedback to enhance performance over time.
Installation Guide
- Requirements: Installation on an Ubuntu system with an NVIDIA RTX 6000 GPU (48 GB VRAM).
- Virtual Environment: Create a virtual environment with Conda.
- Dependencies: Install necessary packages (e.g., PyTorch, Transformers).
Use Cases
- Target Audience: Useful for mathematicians, educators, and researchers in mathematics, computer science, and AI.
- Automation: Helps in automating the process of writing formal proofs, making mathematics more accessible.
Model Versions
- Sizes: Available in two sizes - 7 billion parameters (local installation) and 671 billion parameters (recommended for hosted solutions).
Demonstrations
- Algebraic Proof: Solving an algebraic problem about the difference between percentages (120% of 30 and 130% of 20).
- Detailed proof with a correct final answer.
- Geometric Problem: Verifying rectangle area calculations.
- Efficient handling with low VRAM consumption.
- Complex Proof: Proving number theory results (difference of two odd primes).
- Detailed reasoning with equations and a clear proof structure.
Conclusion
- The DeepSeek Prover v2 represents a significant advancement in theorem proving with improved reasoning capabilities and efficiency. The performance of both model sizes is impressive, showcasing strong potential for mathematical problem-solving.