| A Two-Layer Approach to the Computability and Complexity of Real
  Numbers Branimir Lambov December 2003 | 
| Abstract:
We present a new approach to computability of real numbers in
  which real functions have type-1 representations, which also includes the
  ability to reason about the complexity of real numbers and functions. We
  discuss how this allows efficient implementations of exact real numbers and
  also present a new real number system that is based on it. Available as PostScript, PDF, DVI. |