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Titlebook: Automated Deduction in Geometry; 8th International Wo Pascal Schreck,Julien Narboux,Jürgen Richter-Geber Conference proceedings 2011 Spring

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,Automatic Calculation of Plane Loci Using Gröbner Bases and Integration into a Dynamic Geometry Sysd JSXGraph to deal with loci depending on arbitrary plane algebraic curves. For Gröbner bases calculations we use CoCoa, a computer algebra system with its focus on computations in commutative algebra.
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,An Investigation of Hilbert’s Implicit Reasoning through Proof Discovery in Idle-Time,proof space, contributes tedious lemmas and discovers alternative proofs. We show how this tool allowed us to write readable formalised proof-scripts that correspond very closely to Hilbert’s prose arguments.
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Automated Generation of Readable Proofs for Constructive Geometry Statements with the Mass Point Metements in affine geometry and the linear constructive geometry statements in metric geometry respectively. The two algorithms are implemented in . as provers. The results of hundreds of non-trivial geometry statements run by our provers show that the mass point method is efficient and the machine proofs are human-readable.
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