A Survey of Geometric Reasoning Using Algebraic Methods

Author:

Chou Shang-Ching,Gao Xiao-Shan

Publisher

Birkhäuser Boston

Reference68 articles.

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2. D. Arnon, “Geometric Reasoning with Logic and Algebra”, Artificial Intelligence Journal, V. 37 (1988), pp. 37–60.

3. D. Arnon, a Chou and X.S. Gao, “On the Mechanical Proof of Geometry Theorems Involving Inequalities”, “Issues in Robotics and Nonlinear Geometry”, Advances in Com-puting Research, vol. 6, (ed.C.M. Hoffmann), p. 139–181, 1992, JAI Press ENc, Greenwich, USA..

4. B. Buchberger, “An Algorithm Criterion for the Solvability of a System of Algebraic Equations” (German), Aequationes Math., 4 (1970), 374–383.

5. B. Buchberger, “Grobner Bases: An Algorithmic Method in Polynomial Ideal Theory”, Chapter 6 in Recent Trends in Multidimensional Systems Theory, N.K. Bose (ed.) D. Reidel Publ. Comp. 1985.

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1. Automated generation of illustrated proofs in geometry and beyond;Annals of Mathematics and Artificial Intelligence;2023-07-03

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