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Static Analysis: 10th International Symposium, SAS 2003, San Diego : United States (2003)
Cartesian Factoring of Polyhedra in Linear Relation Analysis
Nicolas Halbwachs 1, David Merchat 1, Catherine Parent-Vigouroux 1
(2003-06)

Linear Relation Analysis [CH78] suffers from the cost of operations on convex polyhedra, which can be exponential with the number of involved variables. In order to reduce this cost, we propose to detect when a polyhedron is a Cartesian product of polyhedra of lower dimensions, i.e., when groups of variables are unrelated with each other. Classical operations are adapted to work on such factored polyhedra. Our implementation shows encouraging experimental results.
1:  VERIMAG (VERIMAG - IMAG)
CNRS : UMR5104 – Université Joseph Fourier - Grenoble I – Institut National Polytechnique de Grenoble - INPG
Computer Science/Programming Languages

Computer Science/Software Engineering
abstract interpretation – linear relation analysis – convex polyhedra
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