Chapter

Static Analysis

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

Date:

Cartesian Factoring of Polyhedra in Linear Relation Analysis

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

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Abstract

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.