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.
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Goubault, E., Putot, S. (2007). Under-Approximations of Computations in Real Numbers Based on Generalized Affine Arithmetic. In: Nielson, H.R., Filé, G. (eds) Static Analysis. SAS 2007. Lecture Notes in Computer Science, vol 4634. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74061-2_9
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DOI: https://doi.org/10.1007/978-3-540-74061-2_9
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