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Automated Deduction in Geometry : Third International Workshop, Adg 2000, Zurich, Switzerland, September 25-27, 2000, Revised Papers - Jurgen Richter-Gebert

Automated Deduction in Geometry

Third International Workshop, Adg 2000, Zurich, Switzerland, September 25-27, 2000, Revised Papers

By: Jurgen Richter-Gebert (Editor), Dongming Wang (Editor)

Paperback Published: 12th September 2001
ISBN: 9783540425984
Number Of Pages: 328

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With a standard program committee and a pre-review process, the Third - ternational Workshop on Automated Deduction in Geometry (ADG 2000) held in Zurich, Switzerland, September 25-27, 2000 was made more formal than the previous ADG '96 (Toulouse, September 1996) and ADG '98 (Beijing, August 1998). The workshop program featured two invited talks given by Christoph M. Ho?mann and Jurgen ] Bokowski, one open session talk by Wen-tsun ] Wu, 18 regular presentations, and 7 short communications, together with software demonstrations (see http: //calfor.lip6.fr/~wang/ADG2000/). Some of the most recent and signi?cant research developments on geometric deduction were - ported and reviewed, and the workshop was well focused at a high scienti?c level. Fifteen contributions (out of the 18 regular presentations selected by the program committee from 31 submissions) and 2 invited papers were chosen for publication in these proceedings. These papers were all formally refereed and most of them underwent a double review-revision process. We hope that this volume meets the usual standard of international conference proceedings, rep- sentsthecurrentstateoftheartofADG, andwillbecomeavaluablereferencefor researchers, practitioners, software engineers, educators, and students in many ADG-related areas from mathematics to CAGD and geometric modeling. ADG2000washostedbytheDepartmentofComputerScience, ETHZurich.

On Spatial Constraint Solving Approachesp. 1
A Hybrid Method for Solving Geometric Constraint Problemsp. 16
Solving the Birkhoff Interpolation Problem via the Critical Point Method: An Experimental Studyp. 26
A Practical Program of Automated Proving for a Class of Geometric Inequalitiesp. 41
Randomized Zero Testing of Radical Expressions and Elementary Geometry Theorem Provingp. 58
Algebraic and Semialgebraic Proofs: Methods and Paradoxesp. 83
Remarks on Geometric Theorem Provingp. 104
The Kinds of Truth of Geometry Theoremsp. 129
A Complex Change of Variables for Geometrical Reasoningp. 143
Reasoning about Surfaces Using Differential Zero and Ideal Decompositionp. 154
Effective Methods in Computational Synthetic Geometryp. 175
Decision Complexity in Dynamic Geometryp. 193
Automated Theorem Proving in Incidence Geometry - A Bracket Algebra Based Elimination Methodp. 199
Qubit Logic, Algebra and Geometryp. 228
Nonstandard Geometric Proofsp. 246
Emphasizing Human Techniques in Automated Geometry Theorem Proving: A Practical Realizationp. 268
Higher-Order Intuitionistic Formalization and Proofs in HilbertÆs Elementary Geometryp. 306
Author Indexp. 325
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540425984
ISBN-10: 3540425985
Series: Lecture Notes in Computer Science
Audience: General
Format: Paperback
Language: English
Number Of Pages: 328
Published: 12th September 2001
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.8
Weight (kg): 0.48