: Interval arithmetic was introduced by Ramon Moore [Moo66] in the 1960s as an approach to bound rounding errors in mathematical computation. The theory of interval analysis emerge...
Younis Hijazi, Hans Hagen, Charles D. Hansen, Kenn...
In this paper, we develop a general theory of fixed point combinators, in higher-order logic equipped with Hilbert’s epsilon operator. This combinator allows for a direct and e...
It is often possible to describe the correct functioning of a system by a mathematical model. As long as observations or measurements correspond to the predictions made by the mod...
First order reasoning about hyperintegers can prove things about sets of integers. In the author's paper Nonstandard Arithmetic and Reverse Mathematics, Bulletin of Symbolic L...
It is a well-known fact that algorithms are often hidden inside mathematical proofs. If these proofs are formalized inside a proof assistant, then a mechanism called extraction ca...