An artificial-intelligence (AI) tool can rigorously prove whether geometric facts — statements about two-dimensional shapes such as triangles or polygons — are true, just as well as competitors in the ...

The latest version of Deepmind's AlphaGeometry system can solve geometry problems better than most human experts, matching the performance of top math competition winners. AlphaGeometry2 solves 84% of ...

Second-Order Constraint Geometry (Σ₂) — a structural framework for identifying when instantaneous state descriptions are insufficient to faithfully represent physical systems whose admissibility ...

Its performance matches the smartest high school mathematicians and is much stronger than the previous state-of-the-art system. Google DeepMind has created an AI system that can solve complex geometry ...