Approximation of δ-timeliness

  • Authors:
  • Carole Delporte-Gallet;Stéphane Devismes;Hugues Fauconnier

  • Affiliations:
  • Université Paris Diderot, LIAFA;Université Joseph Fourier, Grenoble I, VERIMAG UMR;Université Paris Diderot, LIAFA

  • Venue:
  • SSS'10 Proceedings of the 12th international conference on Stabilization, safety, and security of distributed systems
  • Year:
  • 2010

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Abstract

In asynchronous message-passing distributed systems prone to process crashes, a communication link is said δ-timely if the communication delay on this link is bounded by some constant δ. We study here in which way processes may approximate and find structural properties based on δ-timeliness (e.g., find δ-timely paths between processes or build a ring between correct processes using only δ-timely links). To that end, we define a notion of approximation of predicates. Then, with help of such approximations, we give a general algorithm that enables to choose and eventually agree on one of these predicates. Finally, applying this approach to δ-timeliness, we give conditions and algorithms to approximate δ-timeliness and dynamically find structural properties using δ-timeliness.