Verifying Concurrent Graph Algorithms

  • Azalea RaadEmail author
  • Aquinas Hobor
  • Jules Villard
  • Philippa Gardner
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10017)


We show how to verify four challenging concurrent fine-grained graph-manipulating algorithms, including graph copy, a speculatively parallel Dijkstra, graph marking and spanning tree. We develop a reasoning method for such algorithms that dynamically tracks the contributions and responsibilities of each thread operating on a graph, even in cases of arbitrary recursive thread creation. We demonstrate how to use a logic without abstraction ( Open image in new window ) to carry out abstract reasoning in the style of iCAP, by building the abstraction into the proof structure rather than incorporating it into the semantic model of the logic.


Proof Obligation Shared State Separation Logic Cyclic Graph Span Tree Algorithm 
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.



This research was supported by EPSRC programme grants EP/H008373/1 and EP/K008528/1, Yale-NUS College and R-607-265-045-121.


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Copyright information

© Springer International Publishing AG 2016

Authors and Affiliations

  • Azalea Raad
    • 1
    Email author
  • Aquinas Hobor
    • 2
  • Jules Villard
    • 1
  • Philippa Gardner
    • 1
  1. 1.Imperial CollegeLondonUK
  2. 2.Yale-NUS College and School of ComputingNational University of SingaporeSingaporeSingapore

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