Transfer function synthesis without quantifier elimination

  • Authors:
  • Jörg Brauer;Andy King

  • Affiliations:
  • Embedded Software Laboratory, RWTH Aachen University, Germany;Portcullis Computer Security Limited, Pinner, UK

  • Venue:
  • ESOP'11/ETAPS'11 Proceedings of the 20th European conference on Programming languages and systems: part of the joint European conferences on theory and practice of software
  • Year:
  • 2011

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Abstract

Recently it has been shown how transfer functions for linear template constraints can be derived for bit-vector programs by operating over propositional Boolean formulae. The drawback of this method is that it relies on existential quantifier elimination, which induces a computational bottleneck. The contribution of this paper is a novel method for synthesising transfer functions that does not rely on quantifier elimination. We demonstrate the practicality of the method for generating transfer functions for both intervals and octagons.