Automated reasoning in geometries using the characteristic set method and Gröbner basis method

Authors:
S-C. Chou
Affiliations:
Department of Computer Sciences, The University of Texas at Austin, Austin, Texas
Venue:
ISSAC '90 Proceedings of the international symposium on Symbolic and algebraic computation
Year:
1990

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Abstract

This is an overview of the applications of the characteristic set method and the Gröbner basis method to automated reasoning in elementary geometries, differential geometries, and mechanics. Though I shall try to be objective, it will reflect mainly my knowledge of the subject.