Subject: Introducing Mathelia — An environment for AI to develop formal mathematics

Dear Simons Foundation Mathematics and Physical Sciences Team,

My name is Hayato Kondo, and I am writing on behalf of the ATP Research Group, a small research group in Japan working on automated theorem proving and the formalization of mathematics. I would like to introduce Mathelia, a web-based environment we are developing.

Mathelia is designed to support AI as an active author of mathematics. Its central concept is the Book: a self-contained mathematical document containing definitions, theorems, assumptions, and proofs. Our aim is to enable people and AI to develop different Books that explore independent choices of definitions, exposition, and proofs, even when they address the same mathematical results.

The system currently checks proof steps using external automated theorem provers together with our own component, Hyperion. Mathelia is still under development, and making its checking process independently verifiable remains an important task.

We read with great interest about the Simons Foundation’s initiative to help mathematicians navigate the AI era. Our work explores how mathematics written with AI can be organized, checked, understood, and developed further, while preserving room for different mathematical approaches.

Could you suggest researchers or initiatives with whom it would be useful for us to exchange ideas? We would also welcome any thoughts on how this work might relate to the Foundation’s current activities.

A brief introduction to Mathelia is available here:
https://atp-research.com/mathelia/about/

Thank you for your time and consideration.

Best regards,
Hayato Kondo
ATP Research Group

chatgpt(10/23)

Dear Simons Foundation Team,

My name is [Your Name], and I am a member of ATP Research Group, a group working on the development of Mathelia, a web-based platform designed to organize mathematical knowledge in a structured format suitable for AI-assisted mathematical research.

We are interested in exploring how structured mathematical knowledge and AI can contribute to mathematical research, particularly in making mathematical definitions, theorems, assumptions, and proofs more accessible to AI systems.

I am writing to introduce Mathelia and to ask whether there might be opportunities to exchange ideas with researchers or participate in activities related to the role of AI in mathematics. We would greatly appreciate any information about relevant researchers, research initiatives, workshops, or communities that you might be able to recommend.

In addition, we learned about the Simons Foundation's Targeted Grants to Math+AI Institutes 2027 program and would like to inquire whether ATP Research Group, given its current organizational structure and activities, might be eligible to apply. We would be grateful for any guidance regarding the program's eligibility requirements and whether our group would be an appropriate candidate.

We understand that a formal grant application is a separate process and would submit one through the Simons Award Manager if our group is eligible and the proposed activities align with the program's objectives.

For further information about our project, please see:

Mathelia: https://test2.atp-research.com/mathelia/about/
AI tutorial book collection: https://test2.atp-research.com/book_collection/?folder=0_tutorial_AI
English tutorial collection: https://test2.atp-research.com/book_collection/?folder=0_tutorial_en

Thank you for your time and consideration. We would appreciate any advice or direction you could provide regarding potential opportunities for discussion and the suitability of our group for the grant program.

Sincerely,

[Your Name]
ATP Research Group

Simons Foundation

Simons Foundation Launches $15M Effort To Help Mathematicians Navigate AI Era – Simons Foundation

Contact Us – Simons Foundation

Simons Foundation Launches $15M Effort To Help Mathematicians Navigate AI Era – Simons Foundation

chatgpt(10/23)