• DocumentCode
    3511529
  • Title

    Numerical Approach for Automatic Theorem Proving in Plane Geometry

  • Author

    Siwen Guo

  • Author_Institution
    Sch. of Comput. Sci. & Educ. Software, Guangzhou Univ., Guangzhou, China
  • fYear
    2013
  • fDate
    9-11 Sept. 2013
  • Firstpage
    207
  • Lastpage
    209
  • Abstract
    In this paper, we present a new numerical method which proves by computers a class of geometric inequalities in a real plane. The method use interval arithmetic and related techniques to constitute the computing procedures to verify the geometric inequalities. Some numerical examples of verification are illustrated and demonstrate the effectiveness of our method.
  • Keywords
    computational geometry; formal verification; theorem proving; arithmetic techniques; automatic theorem proving; computing procedures; geometric inequality; interval arithmetic; numerical approach; plane geometry; Artificial intelligence; Collaboration; Automatic Theorem Proving; Interval Method; Plane Geometry;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Intelligent Networking and Collaborative Systems (INCoS), 2013 5th International Conference on
  • Conference_Location
    Xi´an
  • Type

    conf

  • DOI
    10.1109/INCoS.2013.38
  • Filename
    6630410