Real quantifier elimination by computation of comprehensive Gröbner systems

Ryoya Fukasaku, Hidenao Iwane, Yosuke Sato

研究成果: 著書/レポートタイプへの貢献会議での発言

9 引用 (Scopus)

抄録

A real quantifier elimination method based on the theory of real root counting and the computation of comprehensive Gröbner systems introduced by V. Weispfenning is studied in more detail. We introduce a simpler and more intuitive algorithm which is shown to be an improvement of the original algorithm. Our algorithm is implemented on the computer algebra system Maple using a recent algorithm to compute comprehensive Gröbner systems together with several simplification techniques. According to our computation experiments, our program is superior to other existing implementations for many examples which contain many equalities.

元の言語英語
ホスト出版物のタイトルISSAC 2015 - Proceedings of the 2015 ACM International Symposium on Symbolic and Algebraic Computation
出版者Association for Computing Machinery
ページ173-180
ページ数8
ISBN(電子版)9781450334358
DOI
出版物ステータス出版済み - 6 24 2015
イベント40th ACM International Symposium on Symbolic and Algebraic Computation, ISSAC 2015 - Bath, 英国
継続期間: 7 6 20157 9 2015

出版物シリーズ

名前Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC
2015-June

会議

会議40th ACM International Symposium on Symbolic and Algebraic Computation, ISSAC 2015
英国
Bath
期間7/6/157/9/15

Fingerprint

Quantifier Elimination
Real Roots
Computer algebra system
Maple
Simplification
Intuitive
Counting
Equality
Experiment

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

これを引用

Fukasaku, R., Iwane, H., & Sato, Y. (2015). Real quantifier elimination by computation of comprehensive Gröbner systems. : ISSAC 2015 - Proceedings of the 2015 ACM International Symposium on Symbolic and Algebraic Computation (pp. 173-180). (Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC; 巻数 2015-June). Association for Computing Machinery. https://doi.org/10.1145/2755996.2756646

Real quantifier elimination by computation of comprehensive Gröbner systems. / Fukasaku, Ryoya; Iwane, Hidenao; Sato, Yosuke.

ISSAC 2015 - Proceedings of the 2015 ACM International Symposium on Symbolic and Algebraic Computation. Association for Computing Machinery, 2015. p. 173-180 (Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC; 巻 2015-June).

研究成果: 著書/レポートタイプへの貢献会議での発言

Fukasaku, R, Iwane, H & Sato, Y 2015, Real quantifier elimination by computation of comprehensive Gröbner systems. : ISSAC 2015 - Proceedings of the 2015 ACM International Symposium on Symbolic and Algebraic Computation. Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC, 巻. 2015-June, Association for Computing Machinery, pp. 173-180, 40th ACM International Symposium on Symbolic and Algebraic Computation, ISSAC 2015, Bath, 英国, 7/6/15. https://doi.org/10.1145/2755996.2756646
Fukasaku R, Iwane H, Sato Y. Real quantifier elimination by computation of comprehensive Gröbner systems. : ISSAC 2015 - Proceedings of the 2015 ACM International Symposium on Symbolic and Algebraic Computation. Association for Computing Machinery. 2015. p. 173-180. (Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC). https://doi.org/10.1145/2755996.2756646
Fukasaku, Ryoya ; Iwane, Hidenao ; Sato, Yosuke. / Real quantifier elimination by computation of comprehensive Gröbner systems. ISSAC 2015 - Proceedings of the 2015 ACM International Symposium on Symbolic and Algebraic Computation. Association for Computing Machinery, 2015. pp. 173-180 (Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC).
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