Fel's conjecture on syzygies of numerical semigroups

These files accompany the paper arXiv:2602.03716.

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

• Fel_Conjecture.tex: natural language problem statement
• task.md: description of the task to be completed (deferring to Fel_Conjecture.tex)
• .environment: specifies the Lean version

Output files (Run with Lean 4.26.0)

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

Miscellaneous files (not used or written by AxiomProver)

• examples.sage: used to verify the worked examples in the paper's exposition

License

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

Repository maintainers

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