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A METHOD FOR MECHANICAL GEOMETRY THEOREM PROVING
作者姓名:WU  Jinzhao
作者单位:WU Jinzhao(Institute of Systems Science,Academia Sinica,Beijing 100080,China)TAN Hongyan(Dopartment of Computer Science,Lanzhou University,Lanzhou 730000,China)
摘    要:AMETHODFORMECHANICALGEOMETRYTHEOREMPROVING¥WUJinzhao(InstituteofSystemsScience,AcademiaSinica,Beijing100080,China)TANHongyan(...


A METHOD FOR MECHANICAL GEOMETRY THEOREM PROVING
WU Jinzhao.A METHOD FOR MECHANICAL GEOMETRY THEOREM PROVING[J].Journal of Systems Science and Complexity,1996(4).
Authors:WU Jinzhao
Abstract:A method for mechanical geometry theorem proving is presented. By using this method, if the ascending chains derived via Wu-Ritt's well ordering algorithm satisfy a condition, all the irreducible characteristic sets we need can be obtained at the same time, and the general case can be reduced to this special case. Thus whether a geometry theorem is generally true can be decided.
Keywords:Wu-Ritt well ordering algorithm  prime ideals  irreducible characteristic sets
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