A Tour with Constructive Real Numbers

  • Authors:
  • Alberto Ciaffaglione;Pietro Di Gianantonio

  • Affiliations:
  • -;-

  • Venue:
  • TYPES '00 Selected papers from the International Workshop on Types for Proofs and Programs
  • Year:
  • 2000

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Abstract

The aim of this work is to characterize constructive real numbers through a minimal axiomatization. We introduce, discuss and justify 16 constructive axioms. Then we address their expressivity considering the alternative axiomatizations.