This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.
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.BSD License
[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.
Theories of IEEE_Floating_Point