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The weakest failure detector to implement a register in asynchronous systems with hybrid communication

Damien Imbs 1 Michel Raynal 1
1 ASAP - As Scalable As Possible: foundations of large scale dynamic distributed systems
IRISA-D1 - SYSTÈMES LARGE ÉCHELLE, Inria Rennes – Bretagne Atlantique
Abstract : This paper introduces an asynchronous crash-prone hybrid system model. The system is hybrid in the way the processes can communicate. On the one side, a process can send messages to any other process. On another side, the processes are partitioned into clusters and each cluster has its own read/write shared memory. In addition to the model, a main contribution of the paper concerns the implementation of an atomic register in this system model. More precisely, a new failure detector (denoted MΣ) is introduced and it is shown that, when considering the information on failures needed to implement a register, this failure detector is the weakest. To that end, the paper presents an MΣ-based algorithm that builds a register in the considered hybrid system model and shows that it is possible to extract MΣ from any failure detector-based algorithm that implements a register in this model. The paper also (a) shows that MΣ is strictly weaker than Σ (which is the weakest failure detector to implement a register in a classical message-passing system) and (b) presents a necessary and sufficient condition to implement MΣ in a hybrid communication system.
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https://hal.inria.fr/inria-00583155
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Submitted on : Tuesday, April 5, 2011 - 8:54:19 AM
Last modification on : Tuesday, June 15, 2021 - 4:16:26 PM
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  • HAL Id : inria-00583155, version 1

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Damien Imbs, Michel Raynal. The weakest failure detector to implement a register in asynchronous systems with hybrid communication. [Research Report] PI-1972, 2011, pp.11. ⟨inria-00583155⟩

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