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Titlebook: Automated Deduction in Geometry; 9th International Wo Tetsuo Ida,Jacques Fleuriot Conference proceedings 2013 Springer-Verlag Berlin Heidel

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978-3-642-40671-3Springer-Verlag Berlin Heidelberg 2013
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Improving Angular Speed Uniformity by ,, Piecewise Reparameterization, is partitioned such that the obtained reparameterization has high uniformity and continuous angular speed. An iteration process is used to refine the interval partition. Experimental results are presented to show the performance of the proposed method and the geometric behavior of the computed reparameterizations.
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Formal Proof in Coq and Derivation of an Imperative Program to Compute Convex Hulls, the Coq proof assistant. It performs a recursive traversal of the existing convex hull to compute the new hull each time a new point is inserted. This requires using well-founded recursion in Coq. A concrete implementation in Ocaml is then automatically extracted and an efficient C++ program is derived (by hand) from the specification.
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Gießener Gynäkologische Fortbildung 1995ther restricting introduction of witnesses during proof search. Both techniques were used within a coherent logic prover ArgoCLP. Evaluations performed on geometrical domain show that use of these techniques makes automated process more efficient and generated proofs often significantly shorter.
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