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The ConstructibleSetTools and ParametricSystemTools modules of the RegularChains library in Maple

Published: 06 February 2009 Publication History
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References

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C. Chen, O. Golubitsky, F. Lemaire, M. Moreno Maza, and W. Pan. Comprehensive Triangular Decomposition, volume 4770 of LNCS, pages 73--101. Springer Verlag, 2007.
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C. Chen, F. Lemaire, L. Liyun, M. Moreno Maza, W. Pan, and Y. Xie. The constructiblesettools and parametricsystem-stools modules of the regularchains library in maple. In Proc. of the International Conference on Computational Science and Applications. IEEE Computer Society Press, 2008.
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C. Chen, L. Li, M. Moreno Maza, W. Pan, and Y. Xie. On the representation of constructible sets. In Proc. of Milestones in Computer Algebra, pages 103--108, 2008.
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C. Chen, M. Moreno Maza, W. Pan, and Y. Xie. On the verification of polynomial system solvers. Frontiers of Computer Science in China, 2(1):55--66, 2008.
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D. Eisenbud. Commutative Algebra with a View Toward Algebraic Geometry. Springer-Verlag, New York-Berlin-Heidelberg, 1995.
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I. A. Kogan and M. Moreno Maza. Computation of canonical forms for ternary cubics. In Teo Mora, editor, Proc. ISSAC 2002, pages 151--160. ACM Press, July 2002.
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F. Lemaire, M. Moreno Maza, and Y. Xie. The RegularChains library. In Ilias S. Kotsireas, editor, Maple Conference 2005, pages 355--368, 2005.
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A. Montes. A new algorithm for discussing Gröbner bases with parameters. J. Symb. Comput., 33(2):183--208, 2002.
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A. Suzuki and Y. Sato. A simple algorithm to compute comprehensive Gröbner bases using Gröbner bases. In ISSAC, pages 326--331, 2006.
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D. M. Wang. Elimination Methods. Springer, New York, 2000.
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W. T. Wu. Basic principles of mechanical theorem proving in elementary geometries. J. Sys. Sci. and Math. Scis, 4:207--235, 1984.

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  1. The ConstructibleSetTools and ParametricSystemTools modules of the RegularChains library in Maple

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        cover image ACM Communications in Computer Algebra
        ACM Communications in Computer Algebra  Volume 42, Issue 3
        September 2008
        80 pages
        ISSN:1932-2232
        EISSN:1932-2240
        DOI:10.1145/1504347
        Issue’s Table of Contents

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        Association for Computing Machinery

        New York, NY, United States

        Publication History

        Published: 06 February 2009
        Published in SIGSAM-CCA Volume 42, Issue 3

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