论文信息 - A Geometry Theorem Prover Based on Buchberger's Algorithm

A Geometry Theorem Prover Based on Buchberger's Algorithm

The System we describe is based on Buchberger's algorithm for computing Gr6bner bases /Buchberger 1965/85/and aims in automatically proving geometry theorems that can be formulated as algebraic problems of a special kind. Problems of this kind first have been investigated by/Wu 1978/84/. Roughly, in many cases one can find an adequate algebraic formulation of a given geometrical problem by choosing some coordinate system and coordinates for the points of the geometrical entities involved and expressing the hypotheses and the conjecture in form of polynomial equations using elementary vector calculus.

Sabine Stifter | B. Kutzler

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