Zero-overhead data marshalling protocol for safety-critical distributed systems with NASA-STD-8739.8 compliance, formal verification, and Zero Trust architecture.

Learn Lean (Math-Proving Based Programming Language) for mathematical proving.

ProofCore is a browser-native, 100% offline-first, hybrid mathematical proof verification engine. It combines rigorous symbolic math with semantic understanding to reliably verify mathematical proofs, offering zero external dependencies and production-ready quality

This repository provides a constructive supplement to the Littlewood Conjecture using prime density and asymptotic analysis. 本リポジトリは、リトルウッド予想に対して、6n±1型構成と素数密度の漸近解析に基づく構成的補完を提示します。

構成的素数構成とrad(abc)支配密度を用いたabc予想の統合証明です。例外有限性も非構成的に導出。 Unified proof of the abc conjecture via constructive prime structures and rad(abc) density. Finite exceptions handled non-constructively.

First explicit curvature correction formula for fractional Laplacians on curved manifolds. Complete proof via heat kernel expansion, validated computationally on S². Applications in anomalous diffusion, thermal field theory, and curved spacetime physics.

Mathematical framework connecting surjective group homomorphisms to quantum error correction via Type II₁ von Neumann algebras. Derives code distance bounds from algebraic structure and validates with computational examples.

Strategic validation document proving mathematical alignment between deterministic AI strategy and observed market reality. Includes efficiency proofs, architectural comparison, and formal verification.