Visualizing the network of math theories.
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Updated
Jun 9, 2024 - Python
Visualizing the network of math theories.
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
University Master Thesis
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)
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)
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.
Simple math project in C to practice using 'gcc', makefiles and libraries as an assignment in Systems Programming A @ Ariel University
The Beal Symmetry Collision: A Machine-Certified Solution via p-adic Valuations
Formalising non-commutative graph theory in Lean
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