Techniques of reliable computing, like interval arithmetic, can be used to guarantee reliable solutions even in the presence of numerical round-off errors. The need to trace bounds...
This paper presents a set of tools for mechanical reasoning of numerical bounds using interval arithmetic. The tools implement two techniques for reducing decorrelation: interval ...
: 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...
The idea of containment sets (csets) is due to Walster and Hansen, and the theory is mainly due to the first author. Now that floating point computation with infinities is widely a...
In modern circuit design, it is difficult to provide reliable parametric yield prediction since the real distribution of process data is hard to measure. Most existing approaches ...