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Automated Deduction in Geometry [electronic resource] : 9th International Workshop, ADG 2012, Edinburgh, UK, September 17-19, 2012. Revised Selected Papers / edited by Tetsuo Ida, Jacques Fleuriot.

Contributor(s): Ida, Tetsuo [editor.] | Fleuriot, Jacques [editor.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes in Artificial Intelligence: 7993Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013Edition: 1st ed. 2013.Description: X, 193 p. 55 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783642406720.Subject(s): Artificial intelligence | Computer graphics | Machine theory | Computer science -- Mathematics | Discrete mathematics | Software engineering | Artificial Intelligence | Computer Graphics | Formal Languages and Automata Theory | Symbolic and Algebraic Manipulation | Discrete Mathematics in Computer Science | Software EngineeringAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 006.3 Online resources: Click here to access online
Contents:
Proof and Computation in Geometry -- Automation of Geometry: Theorem Proving, Diagram -- Generation, and Knowledge Management -- Improving Angular Speed Uniformity by C1 Piecewise Reparameterization -- Extending the Descartes Circle Theorem for Steiner n-Cycles -- Equation Systems with Free-Coordinates Determinants -- Formal Proof in Coq and Derivation of an Imperative Program to Compute Convex Hulls -- Realizations of Volume Frameworks -- Rigidity of Origami Universal Molecules -- Algebraic Analysis of Huzita's Origami Operations and Their Extensions -- On the Formal Analysis of Geometrical Optics in HOL -- Preprocessing of the Axiomatic System for More Efficient Automated Proving and Shorter Proofs.
In: Springer Nature eBookSummary: 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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Proof and Computation in Geometry -- Automation of Geometry: Theorem Proving, Diagram -- Generation, and Knowledge Management -- Improving Angular Speed Uniformity by C1 Piecewise Reparameterization -- Extending the Descartes Circle Theorem for Steiner n-Cycles -- Equation Systems with Free-Coordinates Determinants -- Formal Proof in Coq and Derivation of an Imperative Program to Compute Convex Hulls -- Realizations of Volume Frameworks -- Rigidity of Origami Universal Molecules -- Algebraic Analysis of Huzita's Origami Operations and Their Extensions -- On the Formal Analysis of Geometrical Optics in HOL -- Preprocessing of the Axiomatic System for More Efficient Automated Proving and Shorter Proofs.

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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