Proof, message and certificate

  • Authors:
  • Andrea Asperti

  • Affiliations:
  • Department of Computer Science, University of Bologna, Italy

  • Venue:
  • CICM'12 Proceedings of the 11th international conference on Intelligent Computer Mathematics
  • Year:
  • 2012

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Abstract

The recent achievements obtained by means of Interactive Theorem Provers in the automatic verification of complex mathematical results have reopened an old and interesting debate about the essence and purpose of proofs, emphasizing the dichotomy between message and certificate. We claim that it is important to prevent the divorce between these two epistemological functions, discussing the implications for the field of mathematical knowledge management.