Explorable Proofs: Making Written Proofs Explorable by Grounding Them in Formal Representations
LLM-generated explanations can make technical content more accessible, but there is a ceiling on what they can support interactively. Because LLM outputs are static text, they cannot be executed or stepped through. We argue that grounding explanations in a formalized representation enables interactive affordances beyond what static text supports. We instantiate this idea for mathematical proof comprehension with explorable theorems, a system that uses LLMs to translate a theorem and its written proof into Lean, a programming language for machine-checked proofs, and links the written proof with the Lean code. Readers can work through the proof at a step-level granularity, test custom examp...
| Authors | Hita Kambhamettu, Will Crichton, Sean Welleck et al. |
|---|---|
| Primary category | cs.HC |
| Published | 3 April 2026 |
| Last updated at source | 14 October 2026 |
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