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.
Author(s): Xiaoyu Chen, Dongming Wang (auth.), Francisco Botana, Tomas Recio (eds.)
Series: Lecture Notes in Computer Science 4869 : Lecture Notes in Artificial Intelligence
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2007
Language: English
Pages: 218
Tags: Artificial Intelligence (incl. Robotics); Computer Graphics; Mathematical Logic and Formal Languages; Pattern Recognition; Discrete Mathematics in Computer Science; Convex and Discrete Geometry
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 -
