@inproceedings{gou-put-07-aa-under, author = {Goubault, Eric and Putot, Sylvie}, title = {Under-Approximations of Computations in Real Numbers Based on Generalized Affine Arithmetic}, booktitle = {Static Analysis - Proc. International Static Analysis Symposium SAS 2007}, series = {LNCS}, volume = {4634}, year = 2007, pages = {137--152}, abstract = {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.}, isbn = {978-3-540-74061-2}, doi = {10.1007/978-3-540-74061-2_9} }