Invariant-based verification of a distributed deadlock detection algorithm

  • Authors:
  • Ajay D. Kshemkalyani;Mukesh Singhal

  • Affiliations:
  • Ohio State Univ., Columbus;Ohio State Univ., Columbus

  • Venue:
  • IEEE Transactions on Software Engineering
  • Year:
  • 1991

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Abstract

It is argued that most previous proposals for distributed deadlock detection are incorrect because they have used informal/intuitive arguments to prove the correctness of their algorithms. Informal and intuitive arguments are prone to errors because of the highly complex nature of distributed deadlock detection/resolution algorithms. The priority-based probe algorithm for distributed deadlock detection and resolution of A.L. Choudhary et al. (1989) is corrected, and it is formally proven that the modified algorithm is correct (i.e., that it does detect all deadlocks and does not report phantom deadlocks). The proof technique is novel in that the authors first abstract the properties of the deadlock detection and resolution algorithm by invariants, and then show that the invariants imply the desired correctness of the algorithm