Modelisation and Automation of Reasoning in Geometry. The ARGOS System: A Learning Companion for High-School Pupils

Abstract

ARGOS is a Knowledge-based system for automated theorem proving (ATP) which can automatically solve geometry problems at high-school level. An expert, or the user, gives to ARGOS at the same time declarative knowledge and the way to explain it in a proof and the system automatically builds different kinds of rules implementing different ways of using knowledge: classical ways as forward and backward chaining but also dynamically creating new objects or launching conjectures in mathematical problem solving. For each exercise solved, the system builds a proof that is written in the way a mathematics teacher would write it and adapted to the user’s level. The system also tries to meta-explain its research mechanisms indicating its dynamic creations and conjecture calls in the written proof.