Introducing
Tau
Our multi-agent math genius.
A multi-agent system that discovers and verifies mathematical proofs - bridging natural language reasoning with formal verification at scale.
Quantum Computing
Proven correctness & speedup
Finance
Provable guarantees for quant finance
Cryptography
Aerospace
Robotics
Biology
We are at an inflection point
Large language models are fundamentally stochastic. No amount of scaling changes this - probabilistic systems cannot guarantee correctness. This is especially important in mission-critical domains that require mathematical certainty.
Formal verification provides exactly this: mathematical proof that code is correct for every possible input, not just the ones you test.
Previously this technology was limited to a small group of experts in narrow domains like software verification and research mathematics.
Cajal is using AI to massively scale this technology - deploying agents to autonomously discover and formalize tools across applied science, beginning with quantum computing and finance.
Step 1
It starts with a direction
Tau takes in informal inputs - conjectures, research papers, or open problems - written in natural language, LaTeX, or any form.
Step 2
Decompose and search
Specialized agents decompose the problem into sub-goals and explore thousands of proof strategies simultaneously.
Step 3
Machine-verified
Every proof is checked against a trusted verification kernel. The verdict is binary - correct, or incorrect. Preventing ambiguity and hallucinations.
Step 4
Knowledge compounds
Verified proofs join a growing formal library. Each theorem becomes a building block - reused, composed, compounded. The library grows exponentially.
Step 5
Novel discovery
Tau discovers novel mathematical results with real-world applications - quantum algorithms with proven speedup, financial models with provable guarantees.
Expanding the frontier
Most applied domains remain underformalized - ironically, the areas that hold the most tangible value.
Active
Expanding
Frontier
Cajal's mission is to expand formal verification to all scientific domains - unlocking self-correcting AI systems that can deliver provably safe and reliable tools with genuine real world impact.
Interested in Tau?
Partner with Cajal to leverage verified AI for your scientific and engineering challenges.