# AFormal Model of IEEE Floating Point Arithmetic

 Title: A Formal Model of IEEE Floating Point Arithmetic Author: Lei Yu (ly271 /at/ cam /dot/ ac /dot/ uk) Contributors: Fabian Hellauer (hellauer /at/ in /dot/ tum /dot/ de) and Fabian Immler Submission date: 2013-07-27 Abstract: This development provides a formal model of IEEE-754 floating-point arithmetic. This formalization, including formal specification of the standard and proofs of important properties of floating-point arithmetic, forms the foundation for verifying programs with floating-point computation. There is also a code generation setup for floats so that we can execute programs using this formalization in functional programming languages. Change history: [2017-09-25]: Added conversions from and to software floating point numbers (by Fabian Hellauer and Fabian Immler). [2018-02-05]: 'Modernized' representation following the formalization in HOL4: former "float_format" and predicate "is_valid" is now encoded in a type "('e, 'f) float" where 'e and 'f encode the size of exponent and fraction. BibTeX: @article{IEEE_Floating_Point-AFP, author = {Lei Yu}, title = {A Formal Model of IEEE Floating Point Arithmetic}, journal = {Archive of Formal Proofs}, month = jul, year = 2013, note = {\url{http://isa-afp.org/entries/IEEE_Floating_Point.html}, Formal proof development}, ISSN = {2150-914x}, } License: BSD License Depends on: Word_Lib Used by: CakeML, MFODL_Monitor_Optimized