This paper presents an abstract interpretation framework for the round-off error analysis of
floating-point programs. This framework defines a parametric abstract analysis that …

This paper introduces a static analysis technique for computing formally verified round-off
error bounds of floating-point functional expressions. The technique is based on a …

Rigorous estimation of maximum floating-point round-off errors is an important capability
central to many formal verification tools. Unfortunately, available techniques for this task …

Roundoff errors cannot be avoided when implementing numerical programs with finite
precision. The ability to reason about rounding is especially important if one wants to …

The accuracy of the floating-point calculation is critical to many applications and different
methods have been proposed around floating-point accuracies, such as detecting the errors …

Current critical systems often use a lot of floating-point computations, and thus the testing or
static analysis of programs containing floating-point operators has become a priority …

Reasoning about floating-point is difficult and becomes only more so if there is an interplay
between floating-point and bit-level operations. Even though real-world floating-point …

We present a new tool that generates bounds on the values and the round-off errors of
programs using floating point operations. The tool is based on forward error analysis and …

The development of sound and efficient tools that automatically perform floating-point round-
off error analysis is an active area of research with applications to embedded systems and …

On recent architectures, a numerical program may give different answers depending on the
execution hardware and the compilation. Our goal is to formally prove properties about …