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Researchers reformalize Jordan Curve Theorem across proof assistants

By PulseAugur Editorial · [1 sources] ·

Researchers have detailed three instances of reformalization, a process where formal proofs are translated between different proof assistants. The study specifically focused on reformalizing the Jordan Curve Theorem, successfully converting it from Mizar to Lean, and from HOL Light to both Lean and Agda. The analysis aims to identify key design choices that impact the efficiency and practicality of such reformalization tasks. AI

IMPACT This research explores methods for formalizing mathematical proofs, which could indirectly benefit AI research by improving the rigor and verifiability of AI systems and their underlying logic.

RANK_REASON The cluster contains an academic paper detailing a formalization methodology. [lever_c_demoted from research: ic=1 ai=0.4]

Read on arXiv cs.AI →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

Researchers reformalize Jordan Curve Theorem across proof assistants

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The cluster contains an academic paper detailing a formalization methodology. [lever_c_demoted from research: ic=1 ai=0.4]
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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Simon Guilloud, Sankalp Gambhir, Samuel Chassot ·

    Reformalization of the Jordan Curve Theorem

    arXiv:2607.01734v1 Announce Type: new 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…

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