Effective Set Membership in Computer Algebra and Beyond

J H Davenport

doi:10.1007/978-3-540-85110-3_22

Effective Set Membership in Computer Algebra and Beyond

Research output: Chapter or section in a book/report/conference proceeding › Chapter or section

Abstract

In previous work, we showed the importance of distinguishing “I know that X ≠ Y" from “I don’t know that X = Y”. In this paper we look at effective set membership, starting with Gröbner bases, where the issues are well-expressed in algebra systems, and going on to integration and other questions of ‘computer calculus’. In particular, we claim that a better recognition of the role of set membership would clarify some features of computer algebra systems, such as ‘what does an integral mean as output’.

Original language	English
Title of host publication	Intelligent Computer Mathematics: Proc. AISC/Calculemus/MKM 2008
Editors	S Autexier, J Campbell, J Rubio, V Sorge, M Suzuki, F Wiedijk
Place of Publication	Berlin, Heidelberg
Publisher	Springer
Pages	266-280
Number of pages	15
Volume	5144
ISBN (Print)	978-3-540-85109-7
DOIs	https://doi.org/10.1007/978-3-540-85110-3_22
Publication status	Published - 2008

Publication series

Name	Lecture Notes in Computer Science
Publisher	Springer

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10.1007/978-3-540-85110-3_22

Cite this

Effective Set Membership in Computer Algebra and Beyond. / Davenport, J H.

Intelligent Computer Mathematics: Proc. AISC/Calculemus/MKM 2008. ed. / S Autexier; J Campbell; J Rubio; V Sorge; M Suzuki; F Wiedijk. Vol. 5144 Berlin, Heidelberg : Springer, 2008. p. 266-280 (Lecture Notes in Computer Science).

Research output: Chapter or section in a book/report/conference proceeding › Chapter or section

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note = "Proceedings of the 9th International Conference, AISC 2008, 15th Symposium, Calculemus 2008, 7th International Conference, MKM 2008, Birmingham, UK, July 28 - August 1, 2008. ID number: 5144",

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Effective Set Membership in Computer Algebra and Beyond

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