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Compositional Reasoning for Pointer Structures

  • Yifeng Chen
  • J. W. Sanders
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4014)

Abstract

This paper studies the compositional definition and behaviour of properties that arise in pointer structures. A pointer structure is represented as a (pointer) graph. A pointer property is a set of pointer structures. A parameterised binary combinator is defined that enables important properties (like acyclicity, canonicity and reachability) to be defined in a compositional manner. The technique of parameterising a combinator derives from the definition of parallel-by-merge in ‘Unifying Theories of Programming’. It is applied here to the study of disjointness combinators that extend the separating conjunction of Separation Logic. A case study is provided to demonstrate how these ideas are used, in the form of rules of Hoare logic, to verify the correctness of an Object-Oriented program.

Keywords

Canonical Model Pointer Structure Canonical Representation Galois Connection Unique Decomposition 
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 2006

Authors and Affiliations

  • Yifeng Chen
    • 1
  • J. W. Sanders
    • 2
  1. 1.Department of Computer ScienceUniversity of DurhamDurhamUK
  2. 2.Oxford University Computing LaboratoryOxfordUK

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