Abstract
A zero decomposition algorithm is presented and used to devise a method for proving theorems automatically in differential geometry and mechanics. The method has been implemented and its practical efficiency is demonstrated by several non-trivial examples including Bertrand’s theorem, Schell’s theorem and Kepler-Newton’s laws.Key WordsDifferential geometrymechanicspolynomial eliminationtheorem provingtriangular systemzero decompositionCategoryI.1.2I.2.3
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