In this paper we present a general library to reason about floating-point numbers within the Coq system. Most of the results of the library are proved for an arbitrary floating-point format and an arbitrary base. A special emphasis has been put on proving properties for exact computing, i.e. computing without rounding errors.
More recently, Daumas et al. REF have presented a generic library for reasoning about floating-point numbers within the Coq system.
A Generic Library for Floating-Point Numbers and Its Application to Exact Computing
TPHOLs
Computer Science