Ritt-Wu's decomposition algorithm and geometry theorem proving

  • Shang-Ching Chou
  • Xiao-Shan Gao
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 449)


An improved Ritt-Wu's decomposition (of an algebraic set into the union of irreducible varieties) algorithm is given. The algorithm has been used to prove geometric theorems that Wu's original method addresses. Unlike Wu's original approach, nondegenerate conditions are given explicitly at the beginning, not generated during the proof process. A program based on this improved version of the algorithm proved more than 500 theorems, including Morley's trisector theorem.


Wu's method mechanical theorem proving prover elementary geometry degenerate conditions Ritt-Wu's principle algebraic variety ideal ascending chain the dimension theorem Morley's trisector theorem 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Shang-Ching Chou
    • 1
  • Xiao-Shan Gao
    • 1
  1. 1.Department of Computer SciencesThe University of Texas at AustinAustinUSA

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