Parity of $k$-differentials in genus zero and one

These files accompany the paper arXiv:2602.03722.

The formal proofs provided in this work were developed and verified using Lean 4.26.0. Compatibility with earlier or later versions is not guaranteed due to the evolving nature of the Lean 4 compiler and its core libraries.

Input files

• task.md: natural language description of the task to be completed
• .environment: specifies the Lean version

Output files (Run with Lean 4.26.0)

• ParityDifferential/problem.lean: translation of the problem statement into formal language (Lean)
• ParityDifferential/solution.lean: solution in formal language (Lean)

Miscellaneous files (not used or written by AxiomProver)

• examples.py: used to show example verification of small cases. Only included for expository reasons and not part of the automated workflow.

License

This repository uses the MIT License. See LICENSE for details.

Repository maintainers

• Evan Chen
• Kenny Lau
• Ken Ono
• Jujian Zhang