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TitleGeometric theorem proving by integrated logical and algebraic reasoning
Author(s) Takashi Matsuyama, Tomoaki Nitta
TypeArticle in Journal
AbstractAlgebraic geometric reasoning by the Gröbner basis method and Wu's method has been shown to be powerful enough to prove those complex geometric theorems that could not be proved by ordinary logical reasoning methods. These algebraic reasoning methods, however, have a crucial limitation: they cannot correctly handle any geometric concepts involvingorder relations such as between and congruent angles. To overcome this limitation, we propose a novel geometric reasoning method, where both logical and algebraic reasoning methods are integrated into a unified reasoning process. In this paper, we prove the soundness of the proposed reasoning method and demonstrate its effectiveness with several illustrative examples.
Length21
CopyrightElsevier Science B.V.
File
URL doi:10.1016/0004-3702(94)00064-8
LanguageEnglish
JournalArtificial Intelligence
Volume75
Number1
Pages93 - 113
Year1995
MonthMay
Translation No
Refereed No
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