Section: New Software and Platforms
CoqInterval
Interval package for Coq
Keywords: Interval arithmetic  Coq
Functional Description: CoqInterval is a library for the proof assistant Coq.
It provides several tactics for proving theorems on enclosures of realvalued expressions. The proofs are performed by an interval kernel which relies on a computable formalization of floatingpoint arithmetic in Coq.
The Marelle team developed a formalization of rigorous polynomial approximation using Taylor models in Coq. In 2014, this library has been included in CoqInterval.

Participants: Assia Mahboubi, Érik MartinDorel, Guillaume Melquiond, JeanMichel Muller, Laurence Rideau, Laurent Théry, Micaela Mayero, Mioara Joldes, Nicolas Brisebarre and Thomas SibutPinote

Publications: Proving bounds on realvalued functions with computations  Floatingpoint arithmetic in the Coq system  Proving Tight Bounds on Univariate Expressions with Elementary Functions in Coq  Formally Verified Approximations of Definite Integrals  Formally Verified Approximations of Definite Integrals