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- W3040883242 abstract "Herlihy's consensus hierarchy ranks the power of various synchronization primitives for solving consensus in a model where asynchronous processes communicate through shared memory, and may fail by halting. This paper revisits the consensus hierarchy in a model with crash-recovery failures, where the specification of consensus, called recoverable consensus (RC) in this paper, is weakened by allowing non-terminating executions when a process fails infinitely often. Two variations of this model are considered: with independent process failures, and with simultaneous (i.e., system-wide) process failures. We prove several fundamental results: (i) any synchronization primitive at level 2 in the conventional consensus hierarchy remains at level 2 in the RC hierarchy if failures are simultaneous; (ii) any commutative or overwriting primitive (including Test-And-Set, Fetch-And-Add, and Fetch-And-Store) at level 2 in the conventional consensus hierarchy drops to level 1 in the RC hierarchy if failures are independent, unless the number of such failures is bounded; and (iii) there exists a primitive at level 2 in the conventional consensus hierarchy that remains at level 2 in the RC hierarchy. Result (iii) implies that result (ii) cannot be generalized to all primitives at level 2 in the conventional consensus hierarchy. To our knowledge, this collection of results exhibits the first separation between the simultaneous and independent crash-recovery failure models with respect to the computability of consensus." @default.
- W3040883242 created "2020-07-16" @default.
- W3040883242 creator A5075472271 @default.
- W3040883242 date "2020-07-06" @default.
- W3040883242 modified "2023-09-24" @default.
- W3040883242 title "The Recoverable Consensus Hierarchy" @default.
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- W3040883242 doi "https://doi.org/10.1145/3350755.3400212" @default.
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