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Imagination and Rigor, in Harmony

Axiomatic accelerates engineering workflows through rigorous verification across photonics, electronics, thermal, mechanics, and signal domains.

Closed beta

Lemma

Your AI scientific and engineering co-explorer

Lemma is built to work at the frontier of physical and mathematical understanding. It enables you to work with AI and scientific tools together to validate, derive, and analyze equations and reasoning across mathematics, physics, and engineering. Lemma outputs results into interactive Marimo notebooks, where code can be both inspected and executed.

Lemma
platform.axiomatic-ai.com

Mathematical Rigor Meets AI Innovation

Mathematical Rigor

Every result backed by formal proofs. No estimates, no approximations—just verified mathematics you can trust in production.

Verified Computation

Test every output against formal specifications. Axiomatic proves correctness before returning results—eliminating hallucinations.

Supporting People via Verifiable Research and Engineering

Proof systems guarantee accuracy. Only verified, traceable outputs that meet engineering standards for mission-critical applications.

Proven Performance on Mathematical Reasoning

Ax-Prover outperforms leading AI systems across rigorous mathematical benchmarks, demonstrating superior theorem proving and formal reasoning capabilities.

Results from independent evaluation (publication submitted for peer review, 2025)

NuminaMath

General mathematical problem solving

Ax-Prover 51%
Kimina 31%
DS-Prover 28%
Sonnet 5%

10× better than base LLM

AbstractAlgebra

Formal algebraic reasoning

Ax-Prover 64%
DS-Prover 24%
Kimina 13%
Sonnet 8%

8× better than base LLM

QuantumTheorems

Advanced quantum mechanics proofs

Ax-Prover 96%
DS-Prover 61%
Kimina 57%
Sonnet 40%

2.4× better than base LLM

Benchmarking methodology and full results available in publication (submitted for peer review). Comparisons against Claude Sonnet 4, DeepSeek-Prover-V2-671B, and Kimina-Prover-72B.

See Axiomatic in Action

Watch the demonstration of our Smart Measurement System.

Backed by leading investors