Automated Deduction in Geometry: 6th International Workshop, ADG 2006, Pontevedra, Spain, August 31-September 2, 2006, Revised Papers (Lecture Notes in Computer Science Book 4869)

This book constitutes the thoroughly refereed post-proceedings of the 6th International Workshop on Automated Deduction in Geometry, ADG 2006, held at Pontevedra, Spain, in August/September 2006 as a satellite event of the International Congress of Mathematicians, ICM 2006. The 13 revised full papers presented were carefully selected from the submissions made due to a call for papers - within the scope of ADG - shortly after the meeting. The papers show the lively variety of topics and methods and the current applicability of automated deduction in geometry to different branches of mathematics and to other sciences and technologies. Front Matter....Pages - Towards an Electronic Geometry Textbook....Pages 1-23 Equidecomposable Quadratic Regions....Pages 24-38 Automatic Verification of Regular Constructions in Dynamic Geometry Systems....Pages 39-51 Recognition of Computationally Constructed Loci....Pages 52-67 Algorithmic Search for Flexibility Using Resultants of Polynomial Systems....Pages 68-79 Cylinders Through Five Points: Complex and Real Enumerative Geometry....Pages 80-97 Detecting All Dependences in Systems of Geometric Constraints Using the Witness Method....Pages 98-112 Automatic Discovery of Geometry Theorems Using Minimal Canonical Comprehensive Gröbner Systems....Pages 113-138 Mechanical Theorem Proving in Tarski’s Geometry....Pages 139-156 On the Need of Radical Ideals in Automatic Proving: A Theorem About Regular Polygons....Pages 157-170 A Maple Package for Automatic Theorem Proving and Discovery in 3D-Geometry....Pages 171-188 Geometry Expressions: A Constraint Based Interactive Symbolic Geometry System....Pages 189-202 Constructing a Tetrahedron with Prescribed Heights and Widths....Pages 203-211 Back Matter....Pages - The papers in this volume show the lively variety of topics and methods in automated deduction in geometry. They also demonstrate 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 made after a call for papers. The package includes Springer’s hallmark online files and updates. 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.