Automated Deduction in Geometry: 4th International Workshop, ADG 2002, Hagenberg Castle, Austria, September 4-6, 2002, Revised Papers (Lecture Notes in Computer Science)

This Book Constitutes The Thoroughly Refereed Post-proceedings Of The 4th International Workshop On Automated Deduction In Geometry, Adg 2002, Held At Hagenberg Castle, Austria In September 2002. The 13 Revised Full Papers Presented Were Carefully Selected During Two Rounds Of Reviewing And Improvement. Among The Issues Addressed Are Theoretical And Methodological Topics, Such As The Resolution Of Singularities, Algebraic Geometry And Computer Algebra; Various Geometric Theorem Proving Systems Are Explored; And Applications Of Automated Deduction In Geometry Are Demonstrated In Fields Like Computer-aided Design And Robotics. Algorithmic Tests For The Normal Crossing Property / Gabor Bodnar -- The Projection Of Quasi Variety And Its Application On Geometric Theorem Proving And Formula Deduction / Xuefeng Chen And Dingkang Wang -- Using Computer Algebra Tools To Classify Serial Manipulators / Solen Corvez And Fabrice Rouillier -- Mmp/geometer -- A Software Package For Automated Geometric Reasoning / Xiao-shan Gao And Qiang Lin. Franz Winkler (ed.). Includes Bibliographical References And Index. Front Matter....Pages - Algorithmic Tests for the Normal Crossing Property....Pages 1-20 The Projection of Quasi Variety and Its Application on Geometric Theorem Proving and Formula Deduction....Pages 21-30 Using Computer Algebra Tools to Classify Serial Manipulators....Pages 31-43 MMP/Geometer – A Software Package for Automated Geometric Reasoning....Pages 44-66 The SymbolicData GEO Records – A Public Repository of Geometry Theorem Proof Schemes....Pages 67-86 A New Structural Rigidity for Geometric Constraint Systems....Pages 87-105 Algebraic Representation, Elimination and Expansion in Automated Geometric Theorem Proving....Pages 106-123 The Nonsolvability by Radicals of Generic 3-connected Planar Graphs....Pages 124-131 Function-Based Shape Modeling: Mathematical Framework and Specialized Language....Pages 132-160 C 1 Spline Implicitization of Planar Curves....Pages 161-177 Analysis of Geometrical Theorems in Coordinate-Free Form by Using Anticommutative Gröbner Bases Method....Pages 178-193 GEOTHER 1.1: Handling and Proving Geometric Theorems Automatically....Pages 194-215 Distance Coordinates Used in Geometric Constraint Solving....Pages 216-229 Back Matter....Pages - The notion of normal crossing is ubiquitous in singularity theory and it has a prominent role in the problem of resolution of singularities (see e.g. [1] for the foundations of the classical theory, or [2] for a more recent survey on the field) and in constructing alterations (see e.g. [3]).