. · openai/ten-proofs@d0e1ae7

Lean certificates accompanying proofs in mathematics and theoretical computer science - . · openai/ten-proofs@d0e1ae7

. · openai/ten-proofs@5a102c1

Lean certificates accompanying proofs in mathematics and theoretical computer science - . · openai/ten-proofs@5a102c1

. · openai/ten-proofs@e9dce9a

Lean certificates accompanying proofs in mathematics and theoretical computer science - . · openai/ten-proofs@e9dce9a

Palomar — Lean-verified mathematics

A public registry of Lean-verified mathematical results.

. · openai/ten-proofs@94bc0fe

Lean certificates accompanying proofs in mathematics and theoretical computer science - . · openai/ten-proofs@94bc0fe

Mathematics with large language models as provers and verifiers

During 2024 and 2025 the discussion about the theorem-proving capabilities of large language models started reporting interesting success stories, mostly to do with difficult exercises (such as problems from the International Mathematical Olympiad), but also with conjectures [Feldman & Karbasi, arXiv:2509.18383v1] formulated for the purpose of verifying whether the artificial intelligence could prove it. In this paper we report a theorem proving feat achieved by ChatGPT by using a protocol involving different prover and verifier instances of the gpt-5 model working collaboratively. To make sure that the produced proofs do not suffer from hallucinations, the final proof is formally verified by the lean proof assistant, and the conformance of premises and conclusion of the lean code is verified by a human. Our methodology is by no means complete or exact. It was nonetheless able to solve five out of six 2025 IMO problems, and close about a third of the sixty-six number theory conjectures in [Cohen, Journal of Integer Sequences, 2025].

Mathematics with large language models as provers and verifiers

During 2024 and 2025 the discussion about the theorem-proving capabilities of large language models started reporting interesting success stories, mostly to do with difficult exercises (such as problems from the International Mathematical Olympiad), but also with conjectures [Feldman & Karbasi, arXiv:2509.18383v1] formulated for the purpose of verifying whether the artificial intelligence could prove it. In this paper we report a theorem proving feat achieved by ChatGPT by using a protocol involving different prover and verifier instances of the gpt-5 model working collaboratively. To make sure that the produced proofs do not suffer from hallucinations, the final proof is formally verified by the lean proof assistant, and the conformance of premises and conclusion of the lean code is verified by a human. Our methodology is by no means complete or exact. It was nonetheless able to solve five out of six 2025 IMO problems, and close about a third of the sixty-six number theory conjectures in [Cohen, Journal of Integer Sequences, 2025].

Tutorial: Introduction to Formal Verification with Lean (Part 1) - HashCloak

A tutorial Formal Verification using Lean for cryptographic engineers. Implement and prove correctness of the One-Time pad following a cryptography book.

Prediction: AI will make formal verification go mainstream — Martin Kleppmann’s blog

Much has been said about the effects that AI will have on software development, but there is an angle I haven’t seen talked about: I believe that AI will bring formal verification, which for decades has been a bit of a fringe pursuit, into the software engineering mainstream.

The Case Against Formal Verification, 50 Years Later - Ivan Gavran

Writings on software correctness, AI, formal verification, and other technical topics.

Simon on Twitter / X

Can AI help connect theorems humans write in papers to proofs computers can check?We just released TheoremGraph (https://t.co/PQ8FcFQGat), and I made a 3Blue1Brown style video overview of the idea.This project was my first real research experience, and it meant a lot. Start… pic.twitter.com/yMUA0QziXM— Simon (@waskaja) June 29, 2026

We're not taking the fact-checking powers of AI seriously enough. It's past time to start.

Some notes on the Nobel Prize hallucination that wasn't

Can we billionaire-proof inference? - Graze Newsletter

A small, federated compute co-op called co/core — and the wider experiment it's a part of.

Formal Verification Reference - Aura

This document describes the formal verification infrastructure that provides mathematical guarantees for Aura protocols through Quint model checking, Lean theorem proving, and Telltale session type verification.

Open source was not ready for AI-speed contributions

AI did not create the maintainer burden problem in open source. It accelerated it. Contributors are being amplified, but maintainers are still the verification bottleneck.