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AI-driven neuro-symbolic solver for high-school geometry problems
AlphaGeometry, developed by Google DeepMind, is a theorem-proving system that combines symbolic reasoning with deep learning to solve challenging geometry problems, such as those found in mathematical Olympiads. The repository provides the full implementation of DDAR (Deductive Difference and Abductive Reasoning) and AlphaGeometry, two automated geometry solvers described in the 2024 Nature paper “Solving Olympiad Geometry without Human Demonstrations.” AlphaGeometry integrates a symbolic deduction engine with a transformer-based language model to propose and validate geometric constructions in a stepwise proof process. The DDAR solver focuses purely on rule-based reasoning, while AlphaGeometry enhances this by using a learned model to suggest auxiliary constructions when logical reasoning alone is insufficient. ...
Software for data analysis, image processing, simulations, solver.
Collection of utilities based on two basics classes: Matematica and VarData.
Matematica) performs math operations on vectors and matrices for smoothing, interpolation, convolution, image processing...
VarData) manipulate a structure of points connected by links.
Addraw) openGL engine.
ElPoly) analyze mechanical properties of polymer and membrane like structures.