Automated Deduction in Geometry

The papers in this volume show the lively variety of topics and methods in automated deduction in geometry, and their applicability to different branches of mathematics as well as to other sciences and technologies. The book is made up of the thoroughly refereed post-proceedings of the 6th International Workshop on Automated Deduction in Geometry, ADG 2006, held at Pontevedra, Spain, in 2006. There are a total of 13 revised full papers selected from a number of submissions.

Inhalt

Towards an Electronic Geometry Textbook.- Equidecomposable Quadratic Regions.- Automatic Verification of Regular Constructions in Dynamic Geometry Systems.- Recognition of Computationally Constructed Loci.- Algorithmic Search for Flexibility Using Resultants of Polynomial Systems.- Cylinders Through Five Points: Complex and Real Enumerative Geometry.- Detecting All Dependences in Systems of Geometric Constraints Using the Witness Method.- Automatic Discovery of Geometry Theorems Using Minimal Canonical Comprehensive Gröbner Systems.- Mechanical Theorem Proving in Tarski's Geometry.- On the Need of Radical Ideals in Automatic Proving: A Theorem About Regular Polygons.- A Maple Package for Automatic Theorem Proving and Discovery in 3D-Geometry.- Geometry Expressions: A Constraint Based Interactive Symbolic Geometry System.- Constructing a Tetrahedron with Prescribed Heights and Widths.