> SYSTEM_STATUS: (LogicMath 100%) (Identity: ULOGIC)

Universal Logic.
Verified Minds.

Current AI relies on probabilities; we build on certainties. ULOGIC is the company behind UMIND, the first neuro-symbolic kernel designed to generate verified knowledge, not hallucinations.

// The ULOGIC Recursive Loop
while ($human_knowledge < $potential) {
   $intuition = Human::dream();
   $proof = UMIND::verify($intuition);
   if ($proof->isValid()) {
     TekHub::publish($proof);
   }
}
Our Vision

Infrastructure for Reasoning

In a world flooded with synthetic content, the most valuable commodity is Verified Truth.

ULOGIC aims for AI to acquire unified capabilities in logic and computation to amplify our capacity for creation: Humans intuit, AI verifies. It will create NEW verified knowledge subject to the strict rules of context (industrial, scientific, mathematical).

Strategic Objectives
Standardization (ULOGIC)

Establishing the first universal "Typeless" language capable of translating human ambiguity into verifiable code.

Certainty (UMIND)

Replacing the probabilistic "Black Box" of current LLMs with a fully traceable Neuro-Symbolic architecture.

Accumulation (TekHub)

Transforming scientific knowledge from "static PDFs" into interconnected "Computable Objects".

Autonomy (OeL)

Creating agents capable not only of verifying but of discovering new truths through evolutionary strategies.

Semantic Translation

From Natural Language to Formal Logic. Frictionless.

Deterministic Verification

Step-by-step mathematical validation. Zero hallucinations.

Computable Science

Global repository of living, linked knowledge.




FOUNDATIONAL MANIFESTO v1.0

ULOGIC

Universal Logic Language (The hidden grammar of informal reasoning)

"A Foundational Shift in AI Reasoning"

The "Typeless" Revolution


FOL, SOL, and HOL logic started as an attempt to create a language to express reasoning. But it has failed: On one hand, it lacks sufficient expressiveness to represent complexity. Furthermore, the Tarskian drift has degenerated into "Theory of polynomials". All model theory, including Godel's theorems, are theorems about polynomials (irrelevant to real logic).

Attempts to create sufficiently powerful formal languages have resulted in highly artificial typed languages (such as LEAN, Coq) that impose a "straitjacket" and prevent AIs from reasoning fluently. Expressing simple statements in these languages is a Herculean task.

kernel_verification_trace.log VERIFIED

ULOGIC breaks current paradigms: An EXACT UNIVERSAL LANGUAGE, capable of expressing informal reasoning, must unify logic, computation, and self-metalinguistics. It cannot have interpretation in anything external to itself. And it must not use artificial types. We don't need "another formal language." What we need is to find the "deep grammar underlying mathematics". We can continue using seemingly ambiguous informal expressions: it doesn't matter as long as the "underlying structure" is agreed upon.

Core Capabilities
  • Safety Without Types: Avoids paradoxes through operational semantics.
  • Unification: ULOGIC unifies logic, computation, and auto-metalinguistics.
  • Human Mirroring: Maps 1:1 with mathematical natural language, facilitating auto-formalization.



The Engine

UMIND Architecture

Neuro-Symbolic Intelligence (NeSy) for scientific discovery.

Neuro (LLM)

The creative component. Reads natural language, proposes hypotheses, and translates intuitions to ULOGIC via In-Context Learning.

Symbolic (Kernel)

The deterministic judge. Executes ULOGIC, verifying inference rules step-by-step. Guarantees logical consistency without hallucinations.

LLMS + ULOGIC (universal hidden grammar) + KERNEL

Human exposes in informal language →
→ Neuro auto-formalizes → Neuro proposes proofs → Symbolic verifies → Neuro corrects → Generated Truth → Saved in TekHub →
→ Neuro exposes readable result (innovation and discovery)

Future State: Roadmap v2.0

Evolution towards an industrial architecture of autonomous discovery

Rust Kernel & WASM

Completion and Migration of the verification Kernel to Rust to ensure memory safety and massive parallelism.

RL Proof Search

Model training (Fine-Tuning) via Reinforcement Learning against the Kernel (AlphaZero style).




The Repository

TekHub

The "GitHub" of verified and trusted knowledge.

A centralized platform where .tkd (TekDocs) documents are stored, versioned, and cryptographically linked.

The Public TekDocs Network will allow auto-verification of proposals and papers, as well as guarantee author copyright.

tekhub.ulogicmind.ai/repo/math/euler
proof_zeta_function.tkd VERIFIED
Commit: 8f3a21 (Added Lemma 3.1)
Author: OeL_Agent_07
Dependencies: [RealAnalysis_v2, ComplexNumbers_v1]
Status: Cryptographic Integrity Check Passed



OeL v0.1

Your Reasoning Assistant to drive innovation.

OeL is not a chatbot. It is a research collaborator connected to the UMIND Kernel. It helps formalize intuitions, search TekHub, and generate proofs in ULOGIC.

User (Human)
OeL, verify if this conclusion...
OeL (Thinking Assistant)
>> Autoformalization to ULOGIC...
>> Proposal to Kernel...
>> RESULT-KERNEL-VALIDATION: TRUE
A proof has been found. The inference is mathematically sound.