Ebook: Automated Deduction in Geometry: 9th International Workshop, ADG 2012, Edinburgh, UK, September 17-19, 2012. Revised Selected Papers

This book constitutes the thoroughly refereed post-workshop proceedings of the 9th International Workshop on Automated Deduction in Geometry, ADG 2012, held in Edinburgh, UK, in September 2012. The 10 revised full papers presented together with 2 invited papers were carefully selected during two rounds of reviewing and improvement from the lectures given at the workshop. The conference represents a forum to exchange ideas and views, to present research results and progress, and to demonstrate software tools at the intersection between geometry and automated deduction; the scope of the ADG 2012 moreover has been expanded to cover topics in dynamic geometry.

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This book constitutes the thoroughly refereed post-workshop proceedings of the 9th International Workshop on Automated Deduction in Geometry, ADG 2012, held in Edinburgh, UK, in September 2012. The 10 revised full papers presented together with 2 invited papers were carefully selected during two rounds of reviewing and improvement from the lectures given at the workshop. The conference represents a forum to exchange ideas and views, to present research results and progress, and to demonstrate software tools at the intersection between geometry and automated deduction; the scope of the ADG 2012 moreover has been expanded to cover topics in dynamic geometry.

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This book constitutes the thoroughly refereed post-workshop proceedings of the 9th International Workshop on Automated Deduction in Geometry, ADG 2012, held in Edinburgh, UK, in September 2012. The 10 revised full papers presented together with 2 invited papers were carefully selected during two rounds of reviewing and improvement from the lectures given at the workshop. The conference represents a forum to exchange ideas and views, to present research results and progress, and to demonstrate software tools at the intersection between geometry and automated deduction; the scope of the ADG 2012 moreover has been expanded to cover topics in dynamic geometry.
Content:
Front Matter....Pages -
Proof and Computation in Geometry....Pages 1-30
Automation of Geometry – Theorem Proving, Diagram Generation, and Knowledge Management....Pages 31-32
Improving Angular Speed Uniformity by C 1 Piecewise Reparameterization....Pages 33-47
Extending the Descartes Circle Theorem for Steiner n-Cycles....Pages 48-58
Equation Systems with Free-Coordinates Determinants....Pages 59-70
Formal Proof in Coq and Derivation of an Imperative Program to Compute Convex Hulls....Pages 71-88
From Tarski to Hilbert....Pages 89-109
Realizations of Volume Frameworks....Pages 110-119
Rigidity of Origami Universal Molecules....Pages 120-142
Algebraic Analysis of Huzita’s Origami Operations and Their Extensions....Pages 143-160
On the Formal Analysis of Geometrical Optics in HOL....Pages 161-180
Preprocessing of the Axiomatic System for More Efficient Automated Proving and Shorter Proofs....Pages 181-192
Back Matter....Pages -