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arxivcs.AI2026-07-02

Reformalization of the Jordan Curve Theorem

Simon Guilloud, Sankalp Gambhir, Samuel Chassot

We present a case study in reformalization, a variant of autoformalization in which the input proof is not natural language but a formal development in a different proof assistant. Concretely, we report three reformalizations of the Jordan Curve Theorem: from Mizar to Lean, from HOL Light to Lean, and from HOL Light to Agda. We analyse the results and identify pipeline design choices that matter for practical reformalization tasks.

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Agentic Context Management: Solving Agent Memory and Cost by Treating Them as Lifecycle and Architecture Problems

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