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Program Analysis and Verification Based on Kleene Algebra in Isabelle/HOL

  • Alasdair Armstrong
  • Georg Struth
  • Tjark Weber
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7998)

Abstract

Schematic Kleene algebra with tests (SKAT) supports the equational verification of flowchart scheme equivalence and captures simple while-programs with assignment statements. We formalise SKAT in Isabelle/HOL, using the quotient type package to reason equationally in this algebra. We apply this formalisation to a complex flowchart transformation proof from the literature. We extend SKAT with assertion statements and derive the inference rules of Hoare logic. We apply this extension in simple program verification examples and the derivation of additional Hoare-style rules. This shows that algebra can provide an abstract semantic layer from which different program analysis and verification tasks can be implemented in a simple lightweight way.

Keywords

Boolean Algebra Inference Rule Theorem Prover Proof Obligation Quotient Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Alasdair Armstrong
    • 1
  • Georg Struth
    • 1
  • Tjark Weber
    • 2
  1. 1.Department of Computer ScienceUniversity of SheffieldUK
  2. 2.Department of Information TechnologyUppsala UniversitySweden

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