Formal verification for AI: a Lean 4 + Dafny proof checker that catches fake AI proofs (reward hacking), and verified recursive self-improvement (RSI) for coding agents. AI for math, physics and software engineering.
Mathematical Components
Portable Lean 4 autoformalization skills for Codex and Claude Code
A Lean formalization of a bound concerning long gaps between primes
An axiom-free formalization of category theory in Coq for personal study and practical work
Conditional Lean formalization and numerical certificate for prime gaps at most 186.
Lean formalization of bounded gaps between primes
Lean formalization of the optimality proof of the 11 square packing
Metaprogramming, verified meta-theory and implementation of Rocq in Rocq
An open protocol for distributed multi-agent autoformalization.
A formalization of the resolution of the Hopf problem: the six-sphere admits a complex manifold structure compatible with its standard topology
Real analysis formalized in Lean 4 from nothing β the reals are constructed here. No mathlib, no external dependencies, no typeclasses.
Lean 4 formalization (work in progress) of O(n log n Β· log^(-Ξ΅) n) integer multiplication on a multitape Turing machine
Lean formalization work extending the matrix multiplication 9/4 argument to arbitrary fields