Search Results for "deduction"

...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. The repository includes pre-trained weights, vocabulary files, and detailed configuration options for reproducing experiments.

...The current version (0.1) has been tested but not substantially used. Feedback from use in the field will be welcomed, as will offers of collaboration to improve the deduction algorithms.

Superficially, Dominoes on Acid is a solitaire variant of Dominoes with weird colorful tiles. But on a deeper level it is a GUI for natural deduction. Every completed domino is equivalent to a proof of a tautology in classical propositional logic.

A tool for proof theorists to study deduction systems and to develop proof search strategies for them. GraPE should eventually support step-by-step proof construction, automatic proof search with various strategies, proof transformations and analysis.