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arXiv · 2604.15713

Just Type It in Isabelle! AI Agents Drafting, Mechanizing, and Generalizing from Human Hints

Kevin Kappelmann·Maximilian Schäffeler·Lukas Stevens·Mohammad Abdulaziz·Andrei Popescu·Dmitriy Traytel
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Abstract

Type annotations are essential when printing terms in a way that preserves their meaning under reparsing and type inference. We study the problem of complete and minimal type annotations for rank-one polymorphic $\lambda$-calculus terms, as used in Isabelle. Building on prior work by Smolka, Blanchette et al., we give a metatheoretical account of the problem, with a full formal specification and proofs, and formalize it in Isabelle/HOL. Our development is a series of experiments featuring human-driven and AI-driven formalization workflows: a human and an LLM-powered AI agent independently produce pen-and-paper proofs, and the AI agent autoformalizes both in Isabelle, with further human-hinted AI interventions refining and generalizing the development.

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Kevin Kappelmann, Maximilian Schäffeler, Lukas Stevens, Mohammad Abdulaziz, Andrei Popescu, Dmitriy Traytel. 2026-04-17. Just Type It in Isabelle! AI Agents Drafting, Mechanizing, and Generalizing from Human Hints. https://arxiv.org/abs/2604.15713

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