An impossibility about failure detectors in the iterated immediate snapshot model

  • Authors:
  • Sergio Rajsbaum;Michel Raynal;Corentin Travers

  • Affiliations:
  • Instituto de Matemáticas, Universidad Nacional Autónoma de México, D.F. 04510, Mexico;IRISA, Campus de Beaulieu, 35042 Rennes Cedex, France;IRISA, Campus de Beaulieu, 35042 Rennes Cedex, France

  • Venue:
  • Information Processing Letters
  • Year:
  • 2008

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Abstract

The Iterated Immediate Snapshot model (IIS) is an asynchronous computation model where processes communicate through a sequence of one-shot Immediate Snapshot (IS) objects. It is known that this model is equivalent to the usual asynchronous read/write shared memory model, for wait-free task solvability. Its interest lies in the fact that its runs are more structured and easier to analyze than the runs in the shared memory model. As the IIS model and the shared memory model are equivalent for wait-free task solvability, a natural question is the following: Are they still equivalent for wait-free task solvability, when they are enriched with the same failure detector? The paper shows that the answer to this question is ''no''.