Reformalization of the Jordan Curve Theorem
Sankalp Gambhir ⋅ Simon Guilloud ⋅ Samuel Chassot
Abstract
We present a case study in \emph{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 analyze the results and identify pipeline design choices that matter for practical reformalization tasks.
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