Blog
About

44
views
0
recommends
+1 Recommend
0 collections
    8
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Formalization and Implementation of Algebraic Methods in Geometry

      Preprint

      , , ,

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          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.

          Related collections

          Most cited references 12

          • Record: found
          • Abstract: not found
          • Article: not found

          Theorema: Towards computer-aided mathematical theory exploration

            Bookmark
            • Record: found
            • Abstract: not found
            • Article: not found

            Using Gröbner bases to reason about geometry problems

             Deepak Kapur (1986)
              Bookmark
              • Record: found
              • Abstract: not found
              • Article: not found

              Quotients revisited for Isabelle/HOL

                Bookmark

                Author and article information

                Journal
                22 February 2012
                Article
                10.4204/EPTCS.79.4
                1202.4831

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                Custom metadata
                EPTCS 79, 2012, pp. 63-81
                In Proceedings THedu'11, arXiv:1202.4535
                cs.SC cs.LO cs.MS
                EPTCS

                Comments

                Comment on this article