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@TechReport{BagnaraHZ07TR,
Author = "R. Bagnara and P. M. Hill and E. Zaffanella",
Title = "Applications of Polyhedral Computations to the Analysis
and Verification of Hardware and Software Systems",
Number = 458,
Type = "Quaderno",
Institution = "Dipartimento di Matematica, Universit\`a di Parma, Italy",
Year = 2007,
Note = "Available at \url{http://www.cs.unipr.it/Publications/}.
Also published as {\tt arXiv:cs.CG/0701122},
available from \url{http://arxiv.org/}.",
Abstract = "Convex polyhedra are the basis for several abstractions
used in static analysis and computer-aided verification
of complex and sometimes mission critical systems. For
such applications, the identification of an appropriate
complexity-precision trade-off is a particularly acute
problem, so that the availability of a wide spectrum of
alternative solutions is mandatory. We survey the range
of applications of polyhedral computations in this area;
give an overview of the different classes of polyhedra
that may be adopted; outline the main polyhedral
operations required by automatic analyzers and
verifiers; and look at some possible combinations of
polyhedra with other numerical abstractions that have
the potential to improve the precision of the analysis.
Areas where further theoretical investigations can
result in important contributions are highlighted.",
}