MechGeo: Autoformalizing and Proving Euclidean Geometry in Lean 4
We present MechGeo, a Mathlib native agentic framework that jointly addresses faithful autoformalization and certified proof construction for Euclidean geometry. In this framework, GeoFormalizer represents informal problems in GeoIR, deterministically translates them into Lean 4, and iteratively repairs candidate statements using structural diagnostics and semantic evaluation. GeoProver constructs geometric proof plans, derives intermediate lemmas, and selectively algebraizes suitable subgoals t
Record details
Published: 3 August 2026
Source: arXiv cs.AI
Category: Research
Topics: Healthcare · Agents & autonomy
Retrieved: 4 August 2026
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ethics.ai (3 August 2026), “MechGeo: Autoformalizing and Proving Euclidean Geometry in Lean 4,” evidence record 16107, https://ethics.ai/record/16107 (originally published by arXiv cs.AI).
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