On Locality and the Exchange Law for Concurrent Processes

  • C. A. R. Hoare
  • Akbar Hussain
  • Bernhard Möller
  • Peter W. O’Hearn
  • Rasmus Lerchedahl Petersen
  • Georg Struth
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6901)


This paper studies algebraic models for concurrency, in light of recent work on Concurrent Kleene Algebra and Separation Logic. It establishes a strong connection between the Concurrency and Frame Rules of Separation Logic and a variant of the exchange law of Category Theory. We investigate two standard models: one uses sets of traces, and the other is state-based, using assertions and weakest preconditions. We relate the latter to standard models of the heap as a partial function. We exploit the power of algebra to unify models and classify their variations.


Program Logic Complete Lattice Resource Model Local Element Concurrent Process 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • C. A. R. Hoare
    • 1
  • Akbar Hussain
    • 2
  • Bernhard Möller
    • 3
  • Peter W. O’Hearn
    • 2
  • Rasmus Lerchedahl Petersen
    • 2
  • Georg Struth
    • 4
  1. 1.Microsoft Research CambridgeUK
  2. 2.Queen Mary University of LondonUK
  3. 3.Universität AugsburgGermany
  4. 4.University of SheffieldUK

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