Proving mathematical theorems at the olympiad level represents a notable milestone in
human-level automated reasoning,,–, owing to their reputed difficulty among the world's best …

GeoGebra is an open-source educational mathematics software tool, with millions of users
worldwide. It has a number of features (integration of computer algebra, dynamic geometry …

A FORMAL SYSTEM FOR EUCLID’S ELEMENTS Page 1 THE REVIEW OF SYMBOLIC LOGIC
Volume 2, Number 4, December 2009 A FORMAL SYSTEM FOR EUCLID’S ELEMENTS …

In this paper, we study the problem of automatically solving ruler/compass based geometry
construction problems. We first introduce a logic and a programming language for …

After half a century research, the mechanical theorem proving in geometries has become an
active research topic in the automated reasoning field. This review involves three …

In this series of papers, we discuss how to use a fixed set of high level geometry lemmas or
rules related to geometric invariants, such as area, full-angle, etc., to produce short and …

We report our effort to build a geometry deductive database, which can be used to find the
fixpoint for a geometric configuration. The system can find all the properties of the …

This is the first in a series of two tutorial articles devoted to triangulation-decomposition
algorithms. The value of these notes resides in the uniform presentation of triangulation …

Mathematica is today's most advanced technical computing system. It features a rich
programming environment, two-and three-dimensional graphics capabilities and hundreds …

The Handbook of Geometric Constraint Systems Principles is an entry point to the currently
used principal mathematical and computational tools and techniques of the geometric …