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Title: An integer set library for program analysis
Authors: Verdoolaege, Sven # ×
Issue Date: 26-Apr-2009
Conference: Advances in the Theory of Integer Linear Optimization and its Extensions,AMS 2009 Spring Western Section Meeting location:San Francisco, California date:25-26 April 2009
Abstract: Many program analysis techniques are based on manipulations
of sets of integers bounded by linear constraints. These
integers typically represent iterations of a loop nest or
elements of an array. Double description based libraries
have little or no explicit support for parameters and
existentially quantified variables, which are essential for
some program analysis tasks, and focus on rationals instead
of integers. Furthermore, in our applications, the number
of constraints describing a set is usually fairly small,
while a vertex based description could be very large.

We present a new library exclusively based on constraints
and geared towards the manipulation of integer sets. The
library supports some operations not typically available
in other libraries, such as parametric integer linear
programming (through PIP) and the computation of
the integer affine hull, and produces significantly
improved results in some applications. Operations such
as the convex hull are more easily implemented using a
double description. Both Fourier-Motzkin elimination and
"wrapping" have been used to compute the convex hull using
only constraints. The first is slow, while the second
could only be used on bounded polyhedra. We present an
extension of the "wrapping" method to unbounded polyhedra.
Publication status: published
KU Leuven publication type: IMa
Appears in Collections:Informatics Section
× corresponding author
# (joint) last author

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