Abstract
We propose to use a simple inductive type as a basis to represent the field of rational numbers. We describe the relation between this representation of numbers and the representation as fractions of non-zero natural numbers. The usual operations of comparison, multiplication, and addition are then defined in a naive way. The whole construction is used to build a model of the set of rational numbers as an ordered archimedian field. All constructions have been modeled and verified in the Coq proof assistant.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.