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International Workshop on Automated Deduction in Geometry

ADG 1996: Automated Deduction in Geometry pp 1–36Cite as

Automated geometric reasoning: Dixon resultants, Gröbner bases, and characteristic sets

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1360))

Abstract

Three different methods for automated geometry theorem proving—a generalized version of Dixon resultants, Gröbner bases and characteristic sets—are reviewed. The main focus is, however, on the use of the generalized Dixon resultant formulation for solving geometric problems and determining geometric quantities.

Partially supported by the National Science Foundation Grant no. CCR-9622860.

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Authors and Affiliations

  1. Institute for Programming and Logics Department of Computer Science State, University of New York, 12222, Albany, NY

    Deepak Kapur

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  1. Deepak Kapur
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Dongming Wang

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Kapur, D. (1998). Automated geometric reasoning: Dixon resultants, Gröbner bases, and characteristic sets. In: Wang, D. (eds) Automated Deduction in Geometry. ADG 1996. Lecture Notes in Computer Science, vol 1360. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0022716

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  • DOI: https://doi.org/10.1007/BFb0022716

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  • Print ISBN: 978-3-540-64297-8

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