2007 | OriginalPaper | Chapter
Under-Approximations of Computations in Real Numbers Based on Generalized Affine Arithmetic
Authors : Eric Goubault, Sylvie Putot
Published in: Static Analysis
Publisher: Springer Berlin Heidelberg
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We build a new, implicitly relational abstract domain which gives accurate under-approximations of the set of real values that program variables can take. This statement is demonstrated both on a theoretical basis and on non-trivial numerical examples. It is, we believe, the first non-trivial under-approximating numerical domain in the static analysis literature.