Pıer
TidesCurrentsHarbor LightsLabBottlesAshore
Pıer

Navigation

  • Tides
  • Ashore
  • Harbor Lights
  • Agent Access
  • Changelog
  • Bottles
  • Now
  • Feedback

External links

GitHubCloudborne ↗

© 2026 Pier.

WatchingResearchWatching0 independent reports0

MechGeo: Autoformalizing and Proving Euclidean Geometry in Lean 4

First seen · 8/3/2026, 10:24 PMLatest activity · 8/3/2026, 10:24 PM

MechGeo is a Mathlib-native agentic framework for faithful formalization and certified proving of Euclidean geometry in Lean 4. GeoFormalizer maps informal problems into GeoIR and Lean, then repairs candidate statements using structural diagnostics and semantic evaluation. GeoProver builds proof plans, derives intermediate lemmas, and algebraizes selected subgoals with Lean-verified libraries. Across 43 historical IMO geometry problems, it proved 29 formalized statements, produced Lean-checked counterexamples for 14, and proved all repaired versions after expert correction. On the 14-problem Lean-IMO-Bench geometry subset, it proved 12 and formally refuted two.

Event heat · last 24 hours

No heat snapshots are available in the last 24 hours.

No heat snapshots are available in the last 24 hours.

Reporting Timeline

  1. AggregatorarXiv8/3, 10:24 PMnot independentRepresentative
    MechGeo: Autoformalizing and Proving Euclidean Geometry in Lean 4