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Award ID contains: 1816922

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  1. null (Ed.)
    We present an algorithm for implementing a store-collect object in an asynchronous crash-prone message-passing dynamic system, where nodes continually enter and leave. The algorithm is very simple and efficient, requiring just one round trip for a store operation and two for a collect. We then show the versatility of the store-collect object for implementing churn-tolerant versions of useful data structures, while shielding the user from the complications of the underlying churn. In particular, we present elegant and efficient implementations of atomic snapshot and generalized lattice agreement objects that use store-collect. 
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  2. We consider the problem of simulating a k-valued register in a wait- free manner using binary registers as building blocks, where k > 2. We show that for any simulation using atomic binary base registers to simulate a safe k-valued register in which the read algorithm takes the optimal number of steps (log_2 k), the write algorithm must take at least log k steps in the worst case. A fortiori, the same lower bound applies when the simulated register should be regular. Previously known algorithms show that both these lower bounds are tight. We also show that in order to simulate an atomic k -valued register for two readers, the optimal number of steps for the read algorithm must be strictly larger than log_2 k. 
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