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  • 标题:Formalization and Implementation of Algebraic Methods in Geometry
  • 本地全文:下载
  • 作者:Filip Marić ; Ivan Petrović ; Danijela Petrović
  • 期刊名称:Electronic Proceedings in Theoretical Computer Science
  • 电子版ISSN:2075-2180
  • 出版年度:2011
  • 卷号:79
  • 页码:63-81
  • DOI:10.4204/EPTCS.79.4
  • 出版社:Open Publishing Association
  • 摘要:We describe our ongoing project of formalization of algebraic methods for geometry theorem proving (Wu's method and the Groebner bases method), their implementation and integration in educational tools. The project includes formal verification of the algebraic methods within Isabelle/HOL proof assistant and development of a new, open-source Java implementation of the algebraic methods. The project should fill-in some gaps still existing in this area (e.g., the lack of formal links between algebraic methods and synthetic geometry and the lack of self-contained implementations of algebraic methods suitable for integration with dynamic geometry tools) and should enable new applications of theorem proving in education.
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