Get Automated Deduction in Geometry: Second International PDF

By Xiao-Shan Gao, Dongming Wang, Lu Yang (auth.)

ISBN-10: 3540666729

ISBN-13: 9783540666721

The moment foreign Workshop on computerized Deduction in Geometry (ADG ’98) was once held in Beijing, China, August 1–3, 1998. a rise of curiosity in ADG ’98 over the former workshop ADG ’96 is represented via the awesome variety of greater than forty contributors from ten international locations and the robust tech- cal software of 25 shows, of which one-hour invited talks got through Professors Wen-tsun ¨ Wu and Jing-Zhong Zhang. The workshop supplied the members with a well-focused discussion board for e?ective trade of latest rules and well timed file of study development. perception surveys, algorithmic advancements, and functions in CAGD/CAD and desktop imaginative and prescient awarded through lively - searchers, including geometry software program demos, make clear the positive aspects of this moment workshop. ADG ’98 was once hosted by way of the math Mechanization study heart (MMRC) with ?nancial aid from the chinese language Academy of Sciences and the French nationwide heart for Scienti?c learn (CNRS), and used to be geared up by way of the 3 co-editors of this lawsuits quantity. The papers inside the quantity have been chosen, below a strict refereeing technique, from these offered at ADG ’98 and submitted afterwards. lots of the 14 authorized papers have been rigorously revised and a few of the revised models have been checked back via exterior reviewers. we are hoping that those papers disguise one of the most contemporary and signi?cant learn effects and advancements and re?ect the present state of the art of ADG.

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Extra resources for Automated Deduction in Geometry: Second International Workshop, ADG’98 Beijing, China, August 1–3, 1998 Proceedings

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Of ISSAC ’89 , ACM Press. pp. 136–146, 1989. 33, 35 18. , Automated Geometric Reasoning: Dixon Resultants, Gr¨ obner Bases, and Characteristic Sets, Lecture Notes in Artificial Intelligence, 1360, SpringerVerlag, pp. 1–36, 1997. 31 19. Mitrinovic, D. , Pecaric, J. , 1989. 31, 32, 44 20. , A New Decision Method for Elementary Algebra, Annals of Mathematics, 60, 365–371, 1954. 30 21. , A Decision Method for Elementary Algebra and Geometry, University of California Press, Berkeley, 1951. 30 46 Lu Yang et al.

The calling sequence of DISCOVERER for system P S is: tofind ([h1 , . . , hs ], [g1 , . . , gt ], [x1 , . . , xs , u1 , . . µ (ν, µ are non-negative integers, ν < µ) which means the condition for P S to have ν or ν + 1 or . . n (ν is a non-negative integer, n a name) which means the condition for P S to have ν or more than ν distinct real solutions. 1. Which triangles can occur as sections of a regular tetrahedron by planes which separate one vertex from the other three? Automated Discovering and Proving for Geometric Inequalities 41 This example appeared as an unsolved problem in the American Mathematical Monthly (Oct.

30 46 Lu Yang et al. 22. Wang, D. , Elimination Procedures for Mechanical Theorem Proving in Geometry, Ann. Math. Artif. , 13, 1–24, 1995. 31 23. Wang, D. , A Decision Method for Definite Polynomial, MM Research Preprints, No. 2, Beijing, pp. 68–74, 1987. 31 24. , Polynomial Algorithms in Computer Algebra, Springer-Verlag, Wien, 1996. 37, 39 25. Wu, W. , On the Decision Problem and the Mechanization of Theorem-proving in Elementary Geometry, Scientia Sinica, 21, 159–172, 1978. 30, 40 26. Wu, W. , Mechanical Theorem Proving in Geometries: Basic Principles (translated from the Chinese by X.

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Automated Deduction in Geometry: Second International Workshop, ADG’98 Beijing, China, August 1–3, 1998 Proceedings by Xiao-Shan Gao, Dongming Wang, Lu Yang (auth.)


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