AI that thinks in theorems, not just tokens.

Crux is an open-source IC-RL framework that transforms complex mathematical reasoning into precise, verifiable solutions.

From intuition to proof

From mathematical intuition, through precise problem formulation, with rigorous proofs and verification, we deliver trustworthy solutions.

Built for mathematical rigor

Rigorous Reasoning

Every step justified. Every assumption explicit. No black box magic.

Multi-Domain Mastery

From pure mathematics to applied sciences. Theoretical proofs to numerical computations.

Verifiable Outputs

Solutions you can trust. Complete derivations, not just final answers.

What Crux can do

TOPOLOGY

Spaces & Structures

Prove compactness of manifolds. Analyze homotopy groups. Construct covering spaces.

OPTIMIZATION

Algorithms & Convergence

Solve non-convex problems. Design gradient algorithms. Prove convergence rates.

STOCHASTICS

Probability & Processes

Model complex processes. Derive limit theorems. Analyze tail behaviors.

Start using Crux today

Crux is open source and available on GitHub. Explore the IC-RL framework with hierarchical agent architecture.