Proofpsurf

Proofpsurf is an open-source tool designed to assist in the verification of mathematical proofs, particularly those involving geometric constructions and spatial reasoning. Developed primarily for use in educational and research settings, it integrates with platforms like *Proof General*, an Emacs-based environment for formal proof editing, to provide interactive visualization and validation of geometric proofs.

The software allows users to construct geometric diagrams dynamically while working on proofs, enabling them to verify assumptions and conclusions visually. It supports a range of geometric operations, including point construction, line drawing, angle measurement, and congruence checks, which are essential for validating theorems in Euclidean geometry. Proofpsurf is particularly useful for educators teaching proof techniques, as it bridges the gap between abstract reasoning and concrete visual representation.

Proofpsurf operates within the *Proof General* framework, which itself is built on top of the *Coq* proof assistant—a system for formalizing mathematical proofs. This integration allows users to write proofs in Coq’s logical notation while leveraging Proofpsurf’s graphical tools to verify geometric components. The tool is compatible with other proof assistants through its modular design, though its primary focus remains on geometric reasoning.

Developed by researchers and educators, Proofpsurf emphasizes accessibility and interactivity. It is distributed under an open-source license, encouraging collaboration and further development by the mathematical and educational communities. While primarily aimed at geometry, its underlying principles could be adapted for other domains requiring visual proof verification.

The tool’s simplicity and focus on geometric proofs make it a valuable resource for students and researchers alike, fostering a deeper understanding of logical structures through interactive exploration.