License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CALCO.2023.5
URN: urn:nbn:de:0030-drops-188024
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Mahboubi, Assia

Machine-Checked Computational Mathematics (Invited Talk)

LIPIcs-CALCO-2023-5.pdf (0.3 MB)


This talk shall discuss the potential impact of formal methods, and in particular, of interactive theorem proving, on computational mathematics.
Geared with increasingly fast computer algebra libraries and scientific computing software, computers have become amazing instruments for mathematical guesswork. In fact, computer calculations are even sometimes used to substantiate actual reasoning steps in proofs, later published in major venues of the mathematical literature. Yet surprisingly, little of the now standard techniques available today for verifying critical software (e.g., cryptographic components, airborne commands, etc.) have been applied to the programs used to produce mathematics. In this talk, we propose to discuss this state of affairs.

BibTeX - Entry

  author =	{Mahboubi, Assia},
  title =	{{Machine-Checked Computational Mathematics}},
  booktitle =	{10th Conference on Algebra and Coalgebra in Computer Science (CALCO 2023)},
  pages =	{5:1--5:1},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-287-7},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{270},
  editor =	{Baldan, Paolo and de Paiva, Valeria},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-188024},
  doi =		{10.4230/LIPIcs.CALCO.2023.5},
  annote =	{Keywords: Type theory, computer algebra, interactive theorem proving}

Keywords: Type theory, computer algebra, interactive theorem proving
Collection: 10th Conference on Algebra and Coalgebra in Computer Science (CALCO 2023)
Issue Date: 2023
Date of publication: 02.09.2023

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