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Automated Deduction in Geometry : Third International Workshop, ADG 2000, Zurich, Switzerland, September 25-27, 2000, Revised Papers / / edited by Jürgen Richter-Gebert, Dongming Wang



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Titolo: Automated Deduction in Geometry : Third International Workshop, ADG 2000, Zurich, Switzerland, September 25-27, 2000, Revised Papers / / edited by Jürgen Richter-Gebert, Dongming Wang Visualizza cluster
Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2001
Edizione: 1st ed. 2001.
Descrizione fisica: 1 online resource (VIII, 328 p.)
Disciplina: 516/.00285
Soggetto topico: Artificial intelligence
Geometry
Application software
Computer graphics
Logic, Symbolic and mathematical
Pattern perception
Artificial Intelligence
Computer Applications
Computer Graphics
Mathematical Logic and Formal Languages
Pattern Recognition
Persona (resp. second.): Richter-GebertJürgen
WangDongming
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di bibliografia: Includes bibliographical references at the end of each chapters and index.
Nota di contenuto: On Spatial Constraint Solving Approaches -- A Hybrid Method for Solving Geometric Constraint Problems -- Solving the Birkhoff Interpolation Problem via the Critical Point Method: An Experimental Study -- A Practical Program of Automated Proving for a Class of Geometric Inequalities -- Randomized Xero Testing of Radical Expressions and Elementary Geometry Theorem Proving -- Algebraic and Semialgebraic Proofs: Methods and Paradoxes -- Remarks on Geometric Theorem Proving -- The Kinds of Truth of Geometry Theorems -- A Complex Change of Variables for Geometrical Reasoning -- Reasoning about Surfaces Using Differential Zero and Ideal Decomposition -- Effective Methods in Computational Synthetic Geometry -- Decision Complexity in Dynamic Geometry -- Automated Theorem Proving in Incidence Geometry — A Bracket Algebra Based Elimination Method -- Qubit Logic, Algebra and Geometry -- Nonstandard Geometric Proofs -- Emphasizing Human Techniques in Automated Geometry Theorem Proving: A Practical Realization -- Higher-Order Intuitionistic Formalization and Proofs in Hilbert’s Elementary Geometry.
Sommario/riassunto: This book constitutes the thoroughly refereed post-proceedings of the Third International Workshop on Automated Deduction in Geometry, ADG 2000, held in Zurich, Switzerland, in September 2000.The 16 revised full papers and two invited papers presented were carefully selected for publication during two rounds of reviewing and revision from a total of initially 31 submissions. Among the issues addressed are spatial constraint solving, automated proving of geometric inequalities, algebraic proof, semi-algebraic proofs, geometrical reasoning, computational synthetic geometry, incidence geometry, and nonstandard geometric proofs.
Titolo autorizzato: Automated Deduction in Geometry  Visualizza cluster
ISBN: 3-540-45410-1
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910143602603321
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Serie: Lecture Notes in Artificial Intelligence ; ; 2061