{
  "id": 16107,
  "url": "https://arxiv.org/abs/2608.02295v1",
  "title": "MechGeo: Autoformalizing and Proving Euclidean Geometry in Lean 4",
  "summary": "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",
  "authors": "Hao Shen, Junyu Guo, Tian Cui, Yuxuan Xiao, Lihong Zhi",
  "category": "research",
  "topics": "healthcare,agents-autonomy",
  "orgs": null,
  "regions": null,
  "published_at": "2026-08-03T14:24:12.000Z",
  "fetched_at": "2026-08-04T05:10:21.797Z",
  "source_slug": "x-arxiv-cs-ai",
  "source_name": "arXiv cs.AI",
  "source_homepage": "https://arxiv.org/list/cs.AI/recent",
  "ethics_ai_record_url": "https://ethics.ai/record/16107",
  "original_url": "https://arxiv.org/abs/2608.02295v1",
  "evidence_status": "source-only",
  "attribution": "via ethics.ai"
}