In floating-point programs, guard instability occurs when the control flow of a conditional
statement diverges from its ideal execution under real arithmetic. This phenomenon is …

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 …

Tools that automatically prove the absence or detect the presence of large floating-point
roundoff errors or the special values NaN and Infinity greatly help developers to reason …

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 …

In critical software systems like the ones related to transport and defense, it is common to
perform numerical computations implemented using floating-point arithmetic. Safety …

Non-integer arithmetic is prone to numerical errors due to the finite representation of
numbers. These errors propagate, possibly non-linearly, throughout the variables of a …

Verification of programs using floating-point arithmetic is challenging on several accounts.
One of the difficulties of reasoning about such programs is due to the peculiarities of floating …

Round-off errors arising from the difference between real numbers and their floating-point
representation cause the control flow of conditional floating-point statements to deviate from …

In the context of deductive program verification, handling floating-point computations is
challenging. The level of proof success and proof automation highly depends on the way the …

Automated techniques for analyzing floating-point code for roundoff error as well as control-
flow instability are of growing importance. It is important to compute rigorous estimates of …