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paper

A comparison of three heuristics to choose the variable ordering for CAD

arXiv:1405.6082 · doi:10.1145/2733693.2733706

Abstract

Cylindrical algebraic decomposition (CAD) is a key tool for problems in real algebraic geometry and beyond. When using CAD there is often a choice over the variable ordering to use, with some problems infeasible in one ordering but simple in another. Here we discuss a recent experiment comparing three heuristics for making this choice on thousands of examples.