Hallucination Reduction as a Service

Verified algorithms
from formal specs

An infrastructure layer that plugs into any AI agent and enables the synthesis of verifiable mathematical algorithms from formal specifications, with guaranteed correctness.

Verified reasoning

The Logos layer intercepts each reasoning step, verifies it against Lean 4, and guardrails the agent's chain of thought.

Guaranteed correctness

User provides a mathematical spec. The result is a formally correct algorithm with a machine-checkable proof. No hallucinations, guaranteed.

Model agnostic

Works with any frontier LLM — Claude, GPT, Gemini. Bring your own API key.

LogosLib: GitHub for Math

A proprietary database of applied mathematics, and search engines fine-tuned and optimised for it.

Blueprint-based

Each repo is a graphical blueprint of mathematical knowledge.

Version control

Full history of every formalized theorem and definition. Diff, roll back, branch — just like code.

Private repos

Enterprises keep proprietary formalized strategies siloed.

The Flywheel: A mathematician-driven feedback loop
1

Generate blueprint from formal spec

2

Absorb into LogosLib via post-processing

3

Record failures as reusable tactics

4

Fine-tune search engines on new content

↻ Each problem improves search for the next.

Examples

FlashAttention algorithm synthesis

Given a formal spec for an IO-optimal GPU attention algorithm — without mentioning FlashAttention — the agent independently identified, synthesised, and proved the algorithm correct in Lean 4.

Stochastic analysis book formalisation

Formalisation of an entire chapter of a graduate stochastic analysis textbook — Baudoin, Diffusion Processes and Stochastic Calculus.