About us

Axiomatic AI is building a new class of AI systems designed to reason with the rigor of the scientific method. By combining deep learning with formal logic and physics-based modeling, we create verifiable, interpretable AI systems that collaborate with and support human researchers in high-stakes scientific and engineering workflows.

Our mission, 30×30, is to deliver a 30× improvement in the speed, accessibility, and cost of semiconductor and photonic hardware development by 2030.

We aim to revolutionize hardware design and simulation in these industries and are building a team of highly motivated professionals to bring these innovations from research into commercial products.

Position overview

We are looking for a Research Intern to work at the intersection of formal methods, AI, and scientific reasoning. This role is particularly well suited to PhD students interested in advancing AI for science and engineering and building tools that enable verification of scientific output.

Specifically,



the internship focuses on pioneering research on automated verification of scientific reasoning, such as architecting AI agents capable of navigating complex mathematical formalization workflows, knowledge retrieval systems, and formal and informal verification.

Your mission
- Contribute to tooling for formal reasoning, such as improved library search, theorem retrieval systems, formalization assistants
- Explore applications of Lean metaprogramming or related formal methods tooling
- Architect verification pipelines for complex equation derivations, building the foundation where AI and physics intersect
- Work closely with researchers to identify a tractable, meaningful project that advances both internal capability and research understanding
- Conduct high-quality scientific work that can be published at top tier venues (ICLR, ICML, NeurIPS, etc.) or contribute to major open source projects

Key requirements
- Currently pursuing a PhD (preferred), or advanced M

📌 Internship – Research Intern (Barcelona)
🏢 Axiomatic-AI
📍 Barcelona