Lingua Executabilis Universalis (L.E.U.)

Author: Alpha0az1omega

Date: 2026-10-19

Version: 2.0.0

License: PolyForm Noncommercial 1.0.0

DOI: 10.5281/zenodo.23476518

Abstract

L.E.U. is a formal, executable, and cryptographically traceable language built on 20 universal semantic primitives. It compiles to Python and WebAssembly, renders deterministic SVG glyphs, synthesizes audio via Web Audio API, and seals every state change with SHA-256 and OpenTimestamps.

1. Introduction

Existing languages prioritize computation over semantic universality. L.E.U. bridges this gap by defining a minimal lexicon of primitives that map directly to logic, physics, biology, and computer science.

2. The L.E.U. Lexicon

• L0 (Formal Logic): EXIST, SAME, ONE, ALL, NOT, IF, TRUE
• L1 (Physical Causality): CAUSE, PART, BIG
• L2 (Event and Action): DO, HAPPEN, MOVE
• L3 (Cognition): KNOW, SEE, THINK, SAY
• L4 (Life and Value): LIVE, DIE, GOOD

3. Disruptive Applications

3.1 TELA (Trusted Edge Logic Agents)

L.E.U. serves as the verification layer for probabilistic AI models. Before an AI executes an action, it must generate an L.E.U. expression that formally proves the action adheres to predefined axioms. This prevents hallucinations in critical systems.

3.2 The Identity Registry

Every AI agent is assigned a cryptographic identity (GPG key). L.E.U. acts as the protocol for agents to sign their state transitions, creating an immutable audit trail on the Bitcoin blockchain.

4. The Agentic Glyph & Live Artifacts

The Agentic Glyph is a self-contained SVG file containing its own parser, evaluator, state, and Web Audio synthesizer. The "Live Artifacts" extend this by displaying their own real-time SHA-256 hash, GPG fingerprint, and DOI directly within the SVG.

5. Conclusion

L.E.U. demonstrates that a language can be simultaneously human-readable, machine-executable, audibly perceivable, and cryptographically verifiable. It is an open standard for verifiable interoperability between biological and artificial intelligence.