The Real Numbers in Z
Wilson Rosa de Oliveira, Roberto Souto Maior de Barros · Electronic workshops in computing · 1997
Exact real number computation is a fast growing field with applications varying from debugging to specification of numerical to program. We present a specification of the real numbers represented as infinite lists of signed digits in Z. The expressive power and closeness to usual set theoretical mathematical notation gives us a clean and readable specification which is further directly implementable. A comparison with other formal methods is given together with a partial proof that the object being specified is actually the real numbers.