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Lecture Notes in Computer Science
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 computes, for each combination of ideal and floating-point execution path of the program, a sound over-approximation of the accumulated floating-point round-off error that may occur. In addition, a Boolean expression that characterizes the input values leading to the computed error approximation is also computed. Andoi:10.1007/978-3-319-73721-8_24 fatcat:xo3tbkgiljg6zj4p4i45rh6qfe