2009, English, Article edition: Implementation of Bourbaki's Elements of Mathematics in Coq: Part One, Theory of Sets Grimm, José

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Physical Description
  • text
Published
  • HAL - CCSD
  • 2009
Language
  • English

Edition details

Title
  • Implementation of Bourbaki's Elements of Mathematics in Coq: Part One, Theory of Sets
Author
  • Grimm, José
Published
  • HAL - CCSD
  • 2009
Physical Description
  • text
Subjects
Notes
  • We believe that it is possible to put the whole work of Bourbaki into a computer. One of the objectives of the Gaia project concerns homological algebra (theory as well as algorithms); in a first step we want to implement all nine chapters of the book Algebra. But this requires a theory of sets (with axiom of choice etc.) more powerful than what is provided by Ensembles; we have chosen the work of Carlos Simpson as basis. This reports lists and comments all definitions and theorems of the Chapter ``Theory of Sets''. The code (including almost all exercises) is available on the Web, under http:/​/​www-sop.inria.fr/​apics/​gaia.
  • HAL:inria-00408143, version 1
  • HAL:http:/​/​hal.inria.fr/​inria-00408143/​en/​
Language
  • English
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