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Automated Deduction in Geometry: 6th International Workshop, by Xiaoyu Chen, Dongming Wang (auth.), Francisco Botana, Tomas

By Xiaoyu Chen, Dongming Wang (auth.), Francisco Botana, Tomas Recio (eds.)

The papers during this quantity express the energetic number of themes and techniques in automatic deduction in geometry.

They additionally display their applicability to diversified branches of arithmetic in addition to to different sciences and technologies.

The e-book is made from the completely refereed post-proceedings of the sixth overseas Workshop on automatic Deduction in Geometry, ADG 2006, held at Pontevedra, Spain, in 2006.

There are a complete of thirteen revised complete papers chosen from a couple of submissions made after a decision for papers.

The package deal comprises Springer’s hallmark on-line documents and updates.

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Read or Download Automated Deduction in Geometry: 6th International Workshop, ADG 2006, Pontevedra, Spain, August 31-September 2, 2006. Revised Papers PDF

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Additional resources for Automated Deduction in Geometry: 6th International Workshop, ADG 2006, Pontevedra, Spain, August 31-September 2, 2006. Revised Papers

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Yu/~janicic/gclc/. html. There are versions of GCLC for Windows and for Linux. 42 P. Janiˇci´c and P. Quaresma range of geometric constructions and isometric transformations. In GCLC there is also support for symbolic expressions, second order curves, parametric curves, control structures, etc. GCLC is based on the idea that constructions are formal procedures, rather than drawings. Thus, in GCLC, producing mathematical illustrations is based on “describing figures” rather than of “drawing figures”.

Our system is implemented within dynamic geometry software GCLC [11] and Eukleides [19,23] and uses a geometry theorem prover, GCLCprover [12], based on the area method [4,5]. Our framework, GeoThms [21,22], is a Web tool that integrates the above components with a repository of theorems related to geometric constructions. Closely related to our system is Gool — a geometric object-oriented language and a system for geometric computation, reasoning and visualisation [15]. This system focuses on symbolic manipulation of geometric objects (in algebraic form).

This program can also be used for editing Eukleides code. Eukleides, like GCLC, has been designed to be close to the traditional language of elementary Euclidean geometry. We have developed a tool euktogclcprover, that converts Eukleides files to GCLCprover files, enabling the prover to be used with geometric constructions described within both GCLC and Eukleides. We have developed a XML-based format (and accompanying tools) for representing geometric constructions and proofs. This format enables a suitable rendering of this contents, and also serves as a convenient exchange format between, not only GCLC, Eukleides, and GCLCprover, but other geometric tools as well.

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