Blick ins Buch

Automated Deduction in Geometry

6th International Workshop, ADG 2006, Pontevedra, Spain, August 31-September 2, 2006, Revised Papers

Francisco Botana, Tomas Recio (Herausgeber)

Buch | Softcover

X, 218 Seiten

2007 | 2007
Springer Berlin (Verlag)
978-3-540-77355-9 (ISBN)

Lese- und Medienproben

Blick ins Buch (midvox)

Artikel merken

lt;p>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.

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.

Erscheint lt. Verlag	12.12.2007
Reihe/Serie	Lecture Notes in Artificial Intelligence
Reihe/Serie	Lecture Notes in Computer Science
Zusatzinfo	X, 218 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	352 g
Themenwelt	Mathematik / Informatik ► Informatik
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	3D-geometry • algorithms • algorithm verification • automated deduction • automatic discovering • Cognition • Computational Geometry • Computer-Aided Design • computer vision • dynamic geometry • Formal Reasoning • Formal Verification • function symbol or predicate • geometric constraint solving • Geometric Deduction • Geometric Modeling • geometric optimization • Geometric Problem Solving • Geometric Reasoning • geometric theorem proving • geometric visualization • geometry sofware • Gröbner Bases • Hardcover, Softcover / Informatik, EDV/Informatik • HC/Informatik, EDV/Informatik • Nonlinear Systems • proof checking • proving • Symbol • Symbolic Computation • theorem proving • verification
ISBN-10	3-540-77355-X / 354077355X
ISBN-13	978-3-540-77355-9 / 9783540773559
Zustand	Neuware