Static Analysis for Divide-and-Conquer Pattern Discovery

Abstract

Routines implementing divide-and-conquer algorithms are good candidates for parallelization. Their identifying property is that such a routine divides its input into "smaller" chunks, calls itself recursively on these smaller chunks, and combines the outputs into one. We set up conditions which characterize a wide range of d&c routine definitions. These conditions can be verified by static program analysis. This way d&c routines can be found automatically in existing program texts, and their parallelization based on semi-automatic refactoring can be facilitated. We work out the details in the context of the Erlang programming language.