Static Analysis

Volume 2694 of the series Lecture Notes in Computer Science pp 355-365


Cartesian Factoring of Polyhedra in Linear Relation Analysis

  • Nicolas HalbwachsAffiliated withVérimag
  • , David MerchatAffiliated withVérimag
  • , Catherine Parent-VigourouxAffiliated withVérimag

* Final gross prices may vary according to local VAT.

Get Access


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.