Visualizing the network of math theories.

A formal verification of Linear PCP SNARKs.

The Math Algorithm

Riemann Hypothesis in Lean

C library to work with complex numbers.

📏 A dependently-typed language on Lean 4 for formalizing physics. Dimensions, uncertainty & theory conflicts are first-class types. 25 domains, 267 theorems, 0 sorry. Theories can conflict, approximate or extend each other — because physics isn't one consistent system. Compilation = proof.

A formalization of graded rings in Lean, corresponding to a CICM 2022 submission

A math library I made for C++ because I'm high on math hahaha.

mathib cpp version.

A formalization of chip-firing games and the Riemann-Roch theorem for graphs using the Lean 4 theorem prover.

A dynamic library of math

An interactive viewer for the mathlib import graph

University Master Thesis

Lean4 kernel for synthetic formalization and discovery of statistical learning theory. First and complete formalization of the 5 way fundamental theorem. Typed premise + human-guided, AI-driven proof search across PAC, online, and Gold paradigms. The infrastructure forced by the types produced original mathematics.

Rights: License Copyright Ultra Verba Lux Mentis 2025. all rights reserved This repository is a reproducible research + governance scaffold that combines: Lean 4 formalization (machine-checked theorems; “hard-to-reject” anchors) Python reference implementations (toy experiments + benchmarks)

Lean 4 Theoretical Computer Science Library

Lean 4 formalization of the semantic Grz.2 classification for the category of sets. 37 modules, 376 theorems, 0 sorry.

The Creative Determinant: autopoietic closure as a nonlinear elliptic BVP on a compact Riemannian manifold, with Lean 4-verified existence conditions (15 theorems, zero sorry)

Game Math Library - Student Project @ AIE

Machine-verified proof (0 sorries, 2 axioms) that P ≠ NP via exponential circuit lower bounds for Hamiltonian Cycle. Lean 4 formalization with Mathlib. Proves SIZE(HAM_n) ≥ 2^{Ω(n)} using frontier analysis, switch blocks, cross-pattern mixing, recursive funnel magnification, continuation packets, rooted descent, and signature rigidity.