Titlebook: Automated Deduction in Geometry; 4th International Wo Franz Winkler Conference proceedings 2004 Springer-Verlag Berlin Heidelberg 2004 Auto

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The Projection of Quasi Variety and Its Application on Geometric Theorem Proving and Formula Deductmethod to prove geometric theorem mechanically, and the non-degenerate conditions that we get by the method are proved to be the ”weakest”, i.e. the geometric theorem is true if and only if these non-degenerate conditions are satisfied. A?method for automatic geometric formula deduction is also prop

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,The ,?GEO Records – A?Public Repository of Geometry Theorem Proof Schemes, To automatize such tests it is desirable to collect a?common data base of proof schemes, and to develop tools to extract examples, prepare them for input to different provers, and run them “in bulk”. The main drawback so far of special collections, e.g., Chou’s collection [2] with more than 500 exa

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Function-Based Shape Modeling: Mathematical Framework and Specialized Language,riables: algebraic system as a formal framework; representation of shapes, operations, and relations using real-valued functions, internal representation of the modeling system; specialized language for function-based modeling, and model extension to point sets with attributes (hypervolumes).

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GEOTHER 1.1: Handling and Proving Geometric Theorems Automatically,y means of predicate specifications. Several functions are implemented that allow one to translate the specification of a?geometric theorem into an English or Chinese statement, into algebraic expressions, and into a?logic formula automatically. Geometric diagrams can also be drawn automatically fro