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routineReasoning, Logic & VerificationProof Assistant2607.01734

Reformalization of the Jordan Curve Theorem

Simon Guilloud, Sankalp Gambhir, Samuel Chassot

cs.AI

Abstract

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.

Topics

Classified with taxonomy v2 on Wed, 2 Sept 2026.

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