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

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What Is a Line ?,try creates new geometric objects (circles or conics) which can also be considered as (level 1) lines, in the sense that they fulfil Pappus axioms for lines. But Pappus theory also applies to these new lines. A formalization of Pappus geometry should enable to automatize these generalizations of lin

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Thousands of Geometric Problems for Geometric Theorem Provers (TGTP), . is to create an appropriate context for testing and evaluating geometric automated theorem proving systems (GATP). For that purpose . provides a centralised common library of geometric problems with an already significant size but aiming to became large enough to ensure meaningful system evaluati

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A Coherent Logic Based Geometry Theorem Prover Capable of Producing Formal and Readable Proofs,rious theories, primarily geometry. We applied the prover to various axiomatic systems and proved tens of theorems from standard university textbooks on geometry. The generated proofs can be used in different educational purposes and can contribute to the growing body of formalized mathematics. The

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Exploring the Foundations of Discrete Analytical Geometry in Isabelle/HOL,lly prove that the algorithmic approximation produced can be made to be infinitely-close to its continuous counterpart. This enables the discretization of continuous functions and of geometric concepts such as the straight line and ellipse and acts as the starting point for the field of discrete analytical geometry.