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Enabling Symbolic and Numerical Computations in HOL Light

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Intelligent Computer Mathematics (CICM 2015)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9150))

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Abstract

Verifying mathematical statements by interactive theorem provers often requires algebraic computation. Since many Mechanized Mathematical Systems (MMS) support the OpenMath standard, we propose to link the HOL Light theorem prover to other MMSs via OpenMath. In particular, we present an interface between HOL Light and Mathematica enabling HOL Light users to evaluate arithmetic, transcendental and linear algebraic expressions, using Mathematica.

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Notes

  1. 1.

    http://www.cas.mcmaster.ca/research/mathscheme/.

  2. 2.

    http://www.w3.org/Math/.

  3. 3.

    http://www.openmath.org/overview/index.html.

  4. 4.

    http://www.cl.cam.ac.uk/~jrh13/hol-light/.

  5. 5.

    http://www.wolfram.com/.

  6. 6.

    http://www.dcs.ed.ac.uk/home/lego/.

  7. 7.

    https://coq.inria.fr/.

  8. 8.

    http://www.maplesoft.com/products/maple/.

  9. 9.

    http://www.gap-system.org/.

  10. 10.

    http://de.mathworks.com/discovery/mupad.html.

  11. 11.

    http://www.openmath.org/cd/.

  12. 12.

    http://mathdox.org/new-web/index.html.

  13. 13.

    http://reference.wolfram.com/mathematica/tutorial/IntroductionToMathLink.html.

References

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Author information

Authors and Affiliations

  1. Department of Electrical and Computer Engineering, Concordia University, 1455 de Maisonneuve W., Montreal, Quebec, H3G 1M8, Canada

    Ons Seddiki, Cvetan Dunchev, Sanaz Khan-Afshar & Sofiène Tahar

Authors
  1. Ons Seddiki
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  2. Cvetan Dunchev
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  3. Sanaz Khan-Afshar
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  4. Sofiène Tahar
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Corresponding author

Correspondence to Ons Seddiki .

Editor information

Editors and Affiliations

  1. School of Computer Science, University of Birmingham, Birmingham, United Kingdom

    Manfred Kerber

  2. McMaster University, Hamilton, Ontario, Canada

    Jacques Carette

  3. University of Innsbruck, Innsbruck, Austria

    Cezary Kaliszyk

  4. Jacobs University Bremen, Bremen, Germany

    Florian Rabe

  5. University of Birmingham, Birmingham, United Kingdom

    Volker Sorge

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© 2015 Springer International Publishing Switzerland

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Seddiki, O., Dunchev, C., Khan-Afshar, S., Tahar, S. (2015). Enabling Symbolic and Numerical Computations in HOL Light . In: Kerber, M., Carette, J., Kaliszyk, C., Rabe, F., Sorge, V. (eds) Intelligent Computer Mathematics. CICM 2015. Lecture Notes in Computer Science(), vol 9150. Springer, Cham. https://doi.org/10.1007/978-3-319-20615-8_27

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  • DOI: https://doi.org/10.1007/978-3-319-20615-8_27

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-20614-1

  • Online ISBN: 978-3-319-20615-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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