Author: Takeo Yamamoto
Date: March 2026, Kanazawa, Japan
License: CC BY 4.0
DOI: (https://doi.org/10.5281/zenodo.19210030)
This repository defines genetic diseases as "information-space bugs" and provides a universal mathematical framework to derive optimal repair patches using Lean 4.
By shifting from statistical medicine to Formal Verification, we provide immediate, computable mRNA sequences to "debug" human biology.
-
Formalized Mapping: Quantitative functional distance (
$FD$ ) between mutant and wild-type sequences. - Cost-Function Optimization: Balances repair accuracy, expression efficiency, and safety penalties.
- Universal Existence Theorem: Mathematically proves that an optimal repair patch exists for any finite codon-space mutation.
- Logical Input: Define target wild-type and mutant sequences in Lean 4.
- Autonomous Computation: AI-driven derivation of the
optimal_patch. - Physical Output: Immediate synthesis via existing mRNA manufacturing infrastructure (e.g., LNP platforms).
This work is released under CC BY 4.0. It is intended as a Public Infrastructure for humanity. By open-sourcing these "genetic security patches," we aim to bypass traditional pharmaceutical monopolies and provide low-cost, universal access to life-saving "Medical OS" updates.
Verified by Lean 4. Built for the era of Autonomous AI Research. This framework provides a deterministic pre-screening layer for mRNA sequence design and variant effect evaluation.