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Formal verification of transformations for peephole optimization

  • A. Dold
  • F. W. von Henke
  • H. Pfeifer
  • H. Rueß
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1313)

Abstract

In this paper we describe a formal verification of transformations for peephole optimization using the PVS system [12]. Our basic approach is to develop a generic scheme to mechanize these kinds of verifications for a large class of machine architectures. This generic scheme is instantiated with a formalization of a non-trivial stack machine [14] and a PDP-11 like two-address machine [2], and we prove the correctness of more than 100 published peephole optimization rules for these machines. In the course of verifying these transformations we found several errors in published peephole transformation steps [14]. From the information of failed proof attempts, however, we were able to discover strengthened preconditions for correcting the erroneous transformations.

Keywords

formal verification transformations higher-order logic reusability of specifications 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • A. Dold
    • 1
  • F. W. von Henke
    • 1
  • H. Pfeifer
    • 1
  • H. Rueß
    • 1
  1. 1.Fakultät für InformatikUniversität UlmUlmGermany

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