Infrastructure for Verified Intelligence
Metalogic Labs is building the verification memory layer for AI-generated reasoning.
With AI systems generating code, claims, proofs, plans, policies, papers and scientific hypotheses at machine speed, the world needs new infrastructure to determine what can be trusted, audited, or rejected.
Our work turns machine-generated claims into auditable structure: verified proofs, refutation certificates, named obstructions, and reusable reasoning traces.
MathGraph.org
MathGraph is an open-source operational engine for computational metalogic. It maps the geometry of verifiable continuation: how claims become proofs, counterexamples, obstructions, or reusable laws. View the repo.
Verify API
Verify API is a programmable trust layer for AI systems. It is designed to transform generated claims into auditable outcomes. Verify API gives developers and organisations a way to build AI systems that can account for their reasoning.
Research
We are exploring how proof, science, learning, evolution, and intelligence emerge from systems navigating viable continuation. Our research combines formal verification, symbolic reasoning, computational algebra, and adaptive reasoning systems.
Why Now?
AI systems are beginning to generate reasoning, code, scientific hypotheses, legal analysis, financial decisions, and operational plans faster than humans can reliably audit them.
For critical systems, the next bottleneck is not generation — it is verification.
Critical industries need infrastructure that can turn machine-generated claims into auditable outcomes: verified proofs, counterexamples, named obstructions, traceable reasoning paths, and reusable knowledge.
Metalogic Labs is building that infrastructure.
The Problem
Modern AI can produce fluent answers, but fluency is not certainty.
In high-stakes domains like law, finance, engineering, medicine & science, organisations need to know:
Can this claim be verified?
Can this reasoning be audited?
Can this result be reproduced?
If the claim is false, can we produce a counterexample?
If the system cannot decide, can it explain the obstruction instead of hallucinating certainty?
Today, most AI systems stop at generation.
MathGraph begins where generated reasoning must be audited before it is trusted.
What We’re Building
Metalogic Labs is building a verification substrate for AI-generated reasoning.
Our first product layer is MathGraph, an open-source reasoning engine that converts symbolic and machine-generated claims into structured verification workflows.
Our commercial layer is Verify API, a programmable trust layer for developers, research teams, and critical systems that need auditable reasoning.
Verify API is designed to return not just an answer, but a terminal form:
Verified proof — the claim is formally supported.
Refutation certificate — the claim is false, with a counterexample.
Named obstruction — the system cannot yet resolve the claim, but can explain the structural reason why.
Initial Technical Wedge
MathGraph is currently being developed and tested on formal mathematical reasoning, beginning with equational implication over algebraic structures. We’re currently in the top tier of the SAIR (Foundation for Science & AI Research) Mathematics Distillation Challenge, organised by Professor Terence Tao alongside Nobel, Turing, and Fields laureates.
This domain gives us a clean proving ground: every claim must collapse into a verified proof, a finite countermodel, or a named obstruction. No hidden assumptions. No unverifiable confidence scores.
From this foundation, the same architecture can extend into software verification, AI safety auditing, scientific reasoning, legal-policy logic, and other domains where generated claims must be checked before they are trusted.
Why It Matters
The world is moving toward autonomous systems that generate decisions, theories, code, and strategies at machine speed.
Without verification infrastructure, organisations face a growing trust gap: more generated output, less ability to know what is true.
Metalogic Labs is building the missing layer between AI generation and real-world reliance.
The long-term vision is simple:
- Models generate.
- MathGraph verifies.
- The lawbook remembers.
- Systems become more trustworthy over time.
For Investors and Deep Tech Partners
Metalogic Labs is seeking deep tech partners who understand that trustworthy AI will require new infrastructure, not just larger models.
We are currently focused on turning MathGraph from a research engine into a seed-stage verification platform with three priorities:
- hardening the open-source MathGraph kernel,
- building the first Verify API workflows, and
- proving compounding verification performance on formal reasoning benchmarks.
We are interested in speaking with investors, research partners, and technical collaborators aligned with the future of verified intelligence.
Reach out here: inquiries@metalogiclabs.xyz

Heath Sanchez is the founder of Metalogic Labs and creator of MathGraph, a generative verification kernel for trustworthy AI reasoning. Currently competing in the SAIR Mathematics Distillation Challenge, organised alongside Fields, Turing, and Nobel laureates. His work focuses on transforming proofs, counterexamples, failed routes, and obstructions into reusable verification memory — building the trust layer for verified intelligence.
