Automated deduction in geometry : 8th International Workshop, ADG 2010, Munich, Germany, July 22-24, 2010, revised selected papers / Pascal Schreck, Julien Narboux, Jürgen Richter-Gebert (eds.).

By: (8th : International Workshop on Automated Deduction in Geometry (8th : 2010 : Munich, Germany)
Contributor(s): Schreck, Pascal | Narboux, Julien | Richter-Gebert, Jürgen, 1963-
Material type: TextTextSeries: SerienbezeichnungLecture notes in computer science: 6877.; Lecture notes in computer science: ; LNCS sublibrary: Publisher: Berlin ; New York : Springer, ©2011Description: 1 online resource (x, 258 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9783642250705; 364225070XOther title: ADG 2010Subject(s): Geometry -- Data processing -- Congresses | Automatic theorem proving -- Congresses | Informatique | Automatic theorem proving | Geometry -- Data processing | Mechanical Engineering | Mathematics | Engineering & Applied Sciences | Physical Sciences & Mathematics | Computer Science | Mechanical Engineering - General | Geometry | Computer science | Software engineering | Computational complexity | Artificial intelligence | Computer graphics | Artificial Intelligence (incl. Robotics) | Mathematical Logic and Formal Languages | Symbolic and Algebraic Manipulation | Discrete Mathematics in Computer ScienceGenre/Form: Electronic books. | Conference papers and proceedings. Additional physical formats: Printed edition:: No titleDDC classification: 516.00285 LOC classification: QA448.D38 | I58 2011Online resources: Click here to access online
Contents:
Cancellation patterns in automatic geometric theorem proving / Susanne Apel and Jürgen Richter-Gebert -- Exploring the foundations of discrete analytical geometry in Isabelle/HOL / Jacques Fleuriot -- A formalization of Grassmann-Cayley algebra in Coq and its application to theorem proving in projective geometry / Laurent Fuchs and Laurent Théry -- Automatic calculation of plane loci using Gröbner bases and integration into a dynamic geometry system / Michael Gerhäuser and Alfred Wassermann -- Proof documents for automated origami theorem proving / Fadoua Ghourabi, Tetsuo Ida, and Asem Kasem -- The midpoint locus of a triangle in a corner / Daniel Lichtblau -- Some Lemmas to hopefully enable search methods to find short -- and human readable proofs for incidence theorems of projective geometry / Dominique Michelucci -- What is a line? / Dominique Michelucci -- On one method of proving inequalities in automated way / Pavel Pech -- Thousands of geometric problems for geometric theorem provers -- (TGTP) / Pedro Quaresma -- An investigation of Hilbert's implicit reasoning through proof -- discovery in idle-time / Phil Scott and Jacques Fleuriot -- A coherent logic based geometry theorem prover capable of -- producing formal and readable proofs / Sana Stojanović, Vesna Pavlović, and Predrag Janičić -- Automated generation of readable proofs for constructive geometry -- statements with the mass point method / Yu Zou and Jingzhong Zhang.
Summary: This book constitutes the thoroughly refereed post-workshop proceedings of the 8th International Workshop on Automated Deduction in Geometry, ADG 2010, held in Munich, Germany in July 2010. The 13 revised full papers presented were carefully selected during two rounds of reviewing and improvement from the lectures given at the workshop. Topics addressed by the papers are incidence geometry using some kind of combinatoric argument; computer algebra; software implementation; as well as logic and proof assistants.
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Includes bibliographical references and author index.

This book constitutes the thoroughly refereed post-workshop proceedings of the 8th International Workshop on Automated Deduction in Geometry, ADG 2010, held in Munich, Germany in July 2010. The 13 revised full papers presented were carefully selected during two rounds of reviewing and improvement from the lectures given at the workshop. Topics addressed by the papers are incidence geometry using some kind of combinatoric argument; computer algebra; software implementation; as well as logic and proof assistants.

Cancellation patterns in automatic geometric theorem proving / Susanne Apel and Jürgen Richter-Gebert -- Exploring the foundations of discrete analytical geometry in Isabelle/HOL / Jacques Fleuriot -- A formalization of Grassmann-Cayley algebra in Coq and its application to theorem proving in projective geometry / Laurent Fuchs and Laurent Théry -- Automatic calculation of plane loci using Gröbner bases and integration into a dynamic geometry system / Michael Gerhäuser and Alfred Wassermann -- Proof documents for automated origami theorem proving / Fadoua Ghourabi, Tetsuo Ida, and Asem Kasem -- The midpoint locus of a triangle in a corner / Daniel Lichtblau -- Some Lemmas to hopefully enable search methods to find short -- and human readable proofs for incidence theorems of projective geometry / Dominique Michelucci -- What is a line? / Dominique Michelucci -- On one method of proving inequalities in automated way / Pavel Pech -- Thousands of geometric problems for geometric theorem provers -- (TGTP) / Pedro Quaresma -- An investigation of Hilbert's implicit reasoning through proof -- discovery in idle-time / Phil Scott and Jacques Fleuriot -- A coherent logic based geometry theorem prover capable of -- producing formal and readable proofs / Sana Stojanović, Vesna Pavlović, and Predrag Janičić -- Automated generation of readable proofs for constructive geometry -- statements with the mass point method / Yu Zou and Jingzhong Zhang.

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