AI Tool for Verifying and Correcting Math Proofs

ProofGuard AI is an intelligent verification system designed to address a critical challenge in AI-assisted mathematics: ensuring the correctness of AI-generated proofs. As AI tools increasingly generate mathematical proofs, there's a growing need for automated verification to catch logical errors, invalid steps, and unsound reasoning. Our solution combines multiple AI technologies to create a robust verification pipeline. The system accepts mathematical proofs in various formats, analyzes each logical step, validates mathematical operations, checks for consistency, and identifies errors or gaps in reasoning. When issues are detected, it not only flags them but also suggests corrections and alternative approaches. The tool uses multimodal AI capabilities to understand both symbolic mathematics and natural language explanations, making it accessible to students, researchers, and mathematicians. It provides detailed feedback on proof structure, identifies weak logical connections, verifies mathematical notation and syntax, and generates corrected versions with explanations. Key features include real-time verification as proofs are written, step-by-step error highlighting, alternative proof path suggestions, and educational feedback for learning. This addresses real-world needs in academic research, educational settings, automated theorem proving, and AI safety verification where mathematical correctness is critical.