Automated Deduction in Geometry 5th International Workshop, ADG
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Subseries of Lecture Notes in Computer Science
3763
Hoon Hong Dongming Wang (Eds.)
Automated Deduction in Geometry 5th International Workshop, ADG 2004 Gainesville, FL, USA, September 16-18, 2004 Revised Papers
13
Series Editors Jaime G. Carbonell, Carnegie Mellon University, Pittsburgh, PA, USA Jörg Siekmann, University of Saarland, Saarbrücken, Germany Volume Editors Hoon Hong North Carolina State University, Department of Mathematics Box 8205, Raleigh, NC 27695, USA E-mail: [email protected] Dongming Wang Beihang University, School of Science 37 Xueyuan Road, Beijing 100083, China E-mail: [email protected]
Library of Congress Control Number: 2005938552
CR Subject Classification (1998): I.2.3, I.3.5, F.4.1, I.5, G.2 LNCS Sublibrary: SL 7 – Artificial Intelligence ISSN ISBN-10 ISBN-13
0302-9743 3-540-31332-X Springer Berlin Heidelberg New York 978-3-540-31332-8 Springer Berlin Heidelberg New York
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Preface
Automated Deduction in Geometry (ADG) is a series of international workshops where active researchers exchange ideas and views, present research results and progress, and demonstrate software tools on the intersection between geometry and automated deduction. This volume contains several excellent papers (selected via peer review) based on the talks given at the ADG 2004 meeting hosted by the University of Florida, USA, during September 16–18, 2004 . The previous four meetings were held in Linz (2002), Zurich (2000), Beijing (1998), and Toulouse (1996). This volume consists of 12 papers. The paper by Laura I. Meikle and Jacques D. Fleuriot shows how to prove the correctness of an algorithm for computing convex hulls, by using Hoare logic and Isabelle. The paper by Judit Robu, Tetsuo Ida, Dorin T ¸ epeneu, Hidekazu Takahashi, and Bruno Buchberger shows how to prove the correctness of an origami construction (heptagon), by using the Theorema system and Gr¨obner bases. The paper by Xuefeng Chen, Peng Li, Long Lin, and Dingkang Wang shows how to treat degenerate cases in geometric theorems rigorously, by introducing partitioned-parametric Gr¨ obner bases. The paper by Pavel Pech shows how to derive formulas for the area and radius of cyclic polygo
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