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Mechanical geometry theorem proving based on groebner bases

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Abstract

A new method for the mechanical elementary geometry theorem proving is presented by using Groebner bases of polynomial ideals. It has two main advantages over the approach proposed in literature: (i) It is complete and not a refutational procedure; (ii) The subcases of the geometry statements which are not generally true can be differentiated clearly.

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Authors and Affiliations

  1. Department of Mathematics, Peking University, 100871, Beijing

    Wu Jinzhao

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  1. Wu Jinzhao
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Additional information

Wu Jinzhao received his B.S. degree in mathematics from Department of Mathematics, his M.S. degree in computer science from Department of Computer Science, both of Lanzhou University, in 1988 and 1991 respectively. He received his Ph.D. degree in mathematics from Institute of Systems Sciences, The Chinese Academy of Sciences in 1994. Then, he did his postdoctoral research in School of Mathematical Science, Peking University. His research interests are computational algebraic geometry and automated reasoning.

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Wu, J. Mechanical geometry theorem proving based on groebner bases. J. of Comput. Sci. & Technol. 12, 10–16 (1997). https://doi.org/10.1007/BF02943140

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  • DOI: https://doi.org/10.1007/BF02943140

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