Artificial Intelligence (AI) has made remarkable strides in various fields, from natural language processing to complex problem-solving. However, one area where AI still faces significant challenges ...

Geometry proofs are usually considered relatively easy by students, when "What to be proved" is already discussed or learnt in the class. When there are questions to prove which are not straight ...

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 ...

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 ...

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