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Automated Deduction in Geometry [electronic resource] : Third International Workshop, ADG 2000, Zurich, Switzerland, September 25-27, 2000, Revised Papers / edited by Jürgen Richter-Gebert, Dongming Wang.

Contributor(s): Material type: TextSeries: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001Edition: 1st ed. 2001Description: VIII, 328 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540454106
Subject(s): DDC classification:
  • 006.3 23
Online resources:
Contents:
On Spatial Constraint Solving Approaches -- A Hybrid Method for Solving Geometric Constraint Problems -- Solving the Birkhoff Interpolation Problem via the Critical Point Method: An Experimental Study -- A Practical Program of Automated Proving for a Class of Geometric Inequalities -- Randomized Xero Testing of Radical Expressions and Elementary Geometry Theorem Proving -- Algebraic and Semialgebraic Proofs: Methods and Paradoxes -- Remarks on Geometric Theorem Proving -- The Kinds of Truth of Geometry Theorems -- A Complex Change of Variables for Geometrical Reasoning -- Reasoning about Surfaces Using Differential Zero and Ideal Decomposition -- Effective Methods in Computational Synthetic Geometry -- Decision Complexity in Dynamic Geometry -- Automated Theorem Proving in Incidence Geometry — A Bracket Algebra Based Elimination Method -- Qubit Logic, Algebra and Geometry -- Nonstandard Geometric Proofs -- Emphasizing Human Techniques in Automated Geometry Theorem Proving: A Practical Realization -- Higher-Order Intuitionistic Formalization and Proofs in Hilbert’s Elementary Geometry.
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On Spatial Constraint Solving Approaches -- A Hybrid Method for Solving Geometric Constraint Problems -- Solving the Birkhoff Interpolation Problem via the Critical Point Method: An Experimental Study -- A Practical Program of Automated Proving for a Class of Geometric Inequalities -- Randomized Xero Testing of Radical Expressions and Elementary Geometry Theorem Proving -- Algebraic and Semialgebraic Proofs: Methods and Paradoxes -- Remarks on Geometric Theorem Proving -- The Kinds of Truth of Geometry Theorems -- A Complex Change of Variables for Geometrical Reasoning -- Reasoning about Surfaces Using Differential Zero and Ideal Decomposition -- Effective Methods in Computational Synthetic Geometry -- Decision Complexity in Dynamic Geometry -- Automated Theorem Proving in Incidence Geometry — A Bracket Algebra Based Elimination Method -- Qubit Logic, Algebra and Geometry -- Nonstandard Geometric Proofs -- Emphasizing Human Techniques in Automated Geometry Theorem Proving: A Practical Realization -- Higher-Order Intuitionistic Formalization and Proofs in Hilbert’s Elementary Geometry.

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