Certified Exact Transcendental Real Number Computation in Coq

* Final gross prices may vary according to local VAT.

Get Access


Reasoning about real number expressions in a proof assistant is challenging. Several problems in theorem proving can be solved by using exact real number computation. I have implemented a library for reasoning and computing with complete metric spaces in the Coq proof assistant and used this library to build a constructive real number implementation including elementary real number functions and proofs of correctness. Using this library, I have created a tactic that automatically proves strict inequalities over closed elementary real number expressions by computation.

This document has been produced using \({\rm\kern-.15em T\kern-.1667em\lower.7ex\hbox{E}\kern-.125emX}_{\textsc{macs}}\) (see http://www.texmacs.org)