A Transformational Approach to Resource Analysis with Typed-Norms

Abstract

In order to automatically infer the resource consumption of programs, analyzers track how data sizes change along a program's execution. Typically, analyzers measure the sizes of data by applying norms which are mappings from data to natural numbers that represent thesizes of the corresponding data. When norms are de_ned by taking typeinformation into account, they are named typed-norms. The main contributionof this paper is a transformational approach to resource analysiswith typed-norms. The analysis is based on a transformation of the programinto an intermediate abstract program in which each variable isabstracted with respect to all considered norms which are valid for itstype. We also sketch a simple analysis that can be used to automaticallyinfer the required, useful, typed-norms from programs.